quad2m (problem 3.2.1, negative)

Time bar (total: 11.5s)

analyze163.0ms (1.4%)

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

Compiled 17 to 11 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 18.0ms (26.6% of total)
ival-neg: 17.0ms (25.2% of total)
ival-sub: 13.0ms (19.2% of total)
ival-sqrt: 10.0ms (14.8% of total)
ival-div: 9.0ms (13.3% of total)
const: 1.0ms (1.5% of total)
backward-pass: 1.0ms (1.5% of total)

sample2.0s (17.8%)

Results
629.0ms1865×2valid
596.0ms5632×0valid
342.0ms1072×0invalid
133.0ms759×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 499.0ms (43.8% of total)
ival-sub: 158.0ms (13.9% of total)
ival-div: 147.0ms (12.9% of total)
ival-sqrt: 124.0ms (10.9% of total)
backward-pass: 120.0ms (10.5% of total)
ival-neg: 84.0ms (7.4% of total)
const: 9.0ms (0.8% of total)
Bogosity

preprocess152.0ms (1.3%)

Algorithm
egg-herbie
Rules
2180×fnmadd-define
1686×fmsub-define
1660×fnmsub-define
1540×fmm-def
1110×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048121
1171121
2424106
31384106
44346106
01012
12812
25811
313311
424511
554511
6134811
7222511
8259811
9287311
10289611
11290411
0290411
Stop Event
iter limit
saturated
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 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
Call 2
Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(neg (/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (- (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (neg c) (sqrt (- (* c c) (* a b_2)))) a)
Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (neg b_2) (sqrt (fnmadd a c (square 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)
(/ (+ b_2 (sqrt (fma a c (square b_2)))) (neg a))
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (+ b_2 (sqrt (fma a c (square b_2)))) (neg a))
(neg (/ (- (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(/ (- (sqrt (fnmadd a c (square b_2))) b_2) 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)
(/ (- (neg a) (sqrt (fnmadd b_2 c (square a)))) b_2)
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (neg b_2) (sqrt (fnmadd a c (square b_2)))) c)
(/ (- (neg c) (sqrt (- (* c c) (* a b_2)))) a)
(/ (- (neg c) (sqrt (fnmadd b_2 a (square c)))) a)

explain175.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
970-3(-9.319858413080358e-259 1.3719472451713955e-155 -2.4517658139249674e-100)(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
610-0-(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
130-2(-2.2580462861284653e-136 -946706387489853.5 -6.851996738469533e-165)(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
10-0-(-.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
61.0ms128×2valid
51.0ms342×0valid
12.0ms42×1valid
Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 19.0ms (34.9% of total)
ival-sub: 10.0ms (18.4% of total)
ival-sqrt: 7.0ms (12.9% of total)
backward-pass: 7.0ms (12.9% of total)
ival-div: 6.0ms (11% of total)
ival-neg: 5.0ms (9.2% of total)
const: 1.0ms (1.8% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify63.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Rules
920×fnmadd-define
562×fnmsub-define
550×fmsub-define
526×fma-define
504×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01045
12845
25841
313341
424541
554541
6134841
7222541
8259841
9287341
10289641
11290441
0290441
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(neg b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c
Outputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
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)
(* a c)
(*.f64 a c)
a
c

localize117.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy95.9%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy78.1%
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy65.2%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Results
51.0ms64×2valid
26.0ms171×0valid
6.0ms21×1valid
Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 26.0ms (57.5% of total)
ival-mult: 6.0ms (13.3% of total)
ival-sub: 4.0ms (8.9% of total)
backward-pass: 4.0ms (8.9% of total)
ival-sqrt: 3.0ms (6.6% of total)
ival-neg: 2.0ms (4.4% of total)
const: 0.0ms (0% of total)

series24.0ms (0.2%)

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

36 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
b_2
@0
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
c
@-inf
(sqrt (- (* b_2 b_2) (* a c)))
1.0ms
c
@inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
b_2
@inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite273.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
3632×*-lowering-*.f32
3632×*-lowering-*.f64
2558×/-lowering-/.f32
2558×/-lowering-/.f64
1300×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01035
17135
256029
0860529
Stop Event
iter limit
node limit
Counts
4 → 389
Calls
Call 1
Inputs
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
Outputs
(+.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(+.f64 (/.f64 b_2 a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))
(+.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 b_2 a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 b_2 a))
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 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 (*.f64 b_2 (*.f64 b_2 b_2)) (+.f64 (*.f64 b_2 b_2) (+.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 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (+.f64 (*.f64 b_2 b_2) (+.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 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) (/.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 (*.f64 b_2 b_2)) (*.f64 a (+.f64 (*.f64 b_2 b_2) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.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 a (+.f64 (*.f64 b_2 b_2) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(-.f64 (/.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 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 (*.f64 b_2 a) (*.f64 a a)) (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 b_2 (*.f64 (/.f64 a b_2) a)) (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 a b_2) a))))) (/.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 (/.f64 a b_2) a)) (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 a b_2) a))))))
(-.f64 (/.f64 (/.f64 b_2 (*.f64 (/.f64 a b_2) a)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 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 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (-.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)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (*.f64 a (+.f64 (*.f64 b_2 b_2) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (*.f64 (+.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.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 a a) (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b_2 (*.f64 (/.f64 a b_2) a)) (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 a b_2) a)))) (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a))) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (-.f64 (/.f64 b_2 (*.f64 (/.f64 a b_2) a)) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) a)))
(/.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 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 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 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 b_2 b_2) (+.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 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a 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 (*.f64 b_2 b_2) (*.f64 a c))) (*.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) a) (+.f64 (*.f64 b_2 b_2) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.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))) (neg.f64 (*.f64 a (+.f64 (*.f64 b_2 b_2) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (+.f64 (*.f64 b_2 b_2) (-.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 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.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 a (*.f64 c c)))))) (*.f64 (*.f64 a (+.f64 (*.f64 b_2 b_2) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.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)))))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.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 a (*.f64 c c)))))) (*.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 a (*.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 (+.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 (pow.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 a (*.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 (*.f64 a 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 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64)) (sqrt.f64 (-.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 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 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 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 a (*.f64 c c)))))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 a (*.f64 c c))))) (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))))) (*.f64 (*.f64 (*.f64 a 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 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))))) (*.f64 (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (*.f64 (*.f64 a 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 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 a (*.f64 c c))))) (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 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 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))

simplify285.0ms (2.5%)

Algorithm
egg-herbie
Rules
5216×*-lowering-*.f32
5216×*-lowering-*.f64
2128×+-lowering-+.f64
2128×+-lowering-+.f32
1654×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05282897
118442697
265792669
080822669
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -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))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(-.f64 (*.f64 b_2 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(-.f64 (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (/.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 1/8 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 binary64) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (/ b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.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)))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.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 (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 c (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #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 c (*.f64 c a))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 (/ b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))))))) 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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(-.f64 (/.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 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))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(-.f64 (-.f64 (*.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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))) (/.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 b_2))) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 b_2 (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)))) a))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -2 (/ b_2 a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.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))))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(+.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(*.f64 c (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (*.f64 c a))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(*.f64 c (-.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))))))) (/.f64 b_2 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(*.f64 c (+.f64 (-.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))))))) (/.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 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))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(*.f64 (-.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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(*.f64 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 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/2 binary64))) (/.f64 b_2 a)) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(*.f64 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 #s(literal -1/2 binary64) (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a 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 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) 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 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (*.f64 b_2 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (*.f64 b_2 (+.f64 #s(literal -1 binary64) (*.f64 b_2 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))))) (*.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 a)))) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(*.f64 b_2 (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2) b_2)))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 b_2 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2) b_2)))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 b_2 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a)))))) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2)
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) b_2)) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a)))))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)))) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b_2 b_2)))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (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)) (*.f64 #s(literal -1 binary64) (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))))
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(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ 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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))) (/.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 b_2))) (sqrt.f64 #s(literal -1 binary64)))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 (-.f64 (*.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))))) b_2) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))))) (-.f64 #s(literal 0 binary64) a)) b_2) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) c) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a a))) c) (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2))))))) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (+.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (/.f64 b_2 c) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 (-.f64 (*.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))))) b_2) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/8 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 c a)))) (-.f64 #s(literal 0 binary64) c)) b_2) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.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 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 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 a a) #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (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 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))))))
(* -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 a a) #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (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 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))))) (-.f64 #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))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -1/8 binary64)) (*.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 (*.f64 c c) #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c 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)))
(* 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) (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.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)))))
(* 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) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.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 (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 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/2 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 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 #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 (*.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) c) (*.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 (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) 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)))
(* 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 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 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 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) (*.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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) (+.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))))
(* -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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 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 (*.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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 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 (*.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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) (*.f64 (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)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 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))

eval66.0ms (0.6%)

Compiler

Compiled 19953 to 2083 computations (89.6% saved)

prune129.0ms (1.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New51320533
Fresh000
Picked011
Done000
Total51321534
Accuracy
93.5%
Counts
534 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.9%
(/.f64 (/.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))))) a)
27.2%
(/.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
30.4%
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
32.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
23.1%
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
49.4%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
53.7%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
11.6%
(/.f64 (-.f64 (neg.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 #s(literal 0 binary64) b_2))) a)
55.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
34.6%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
50.6%
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
20.0%
(/.f64 (-.f64 a (*.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a b_2) a))
30.8%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
27.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
35.2%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
34.4%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
32.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
34.1%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
55.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
22.8%
(*.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
34.3%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
Compiler

Compiled 766 to 454 computations (40.7% saved)

simplify153.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(*.f64 b_2 a)
cost-diff128
(-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
cost-diff384
(*.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
cost-diff0
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
cost-diff0
(/.f64 #s(literal -2 binary64) a)
cost-diff0
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
cost-diff0
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
cost-diff0
(/.f64 #s(literal -2 binary64) a)
cost-diff0
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(/.f64 #s(literal -1 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
Rules
2476×*-lowering-*.f32
2476×*-lowering-*.f64
1360×fnmadd-define
1178×fmsub-define
1040×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028206
178204
2169188
3398188
41001188
52993188
08137188
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ -1 a) (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(/ -1 a)
-1
a
(+ 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)
(* a c)
c
(* b_2 (/ -2 a))
b_2
(/ -2 a)
-2
a
(- (* b_2 (/ -2 a)) (/ (* c -1/2) b_2))
(* b_2 (/ -2 a))
b_2
(/ -2 a)
-2
a
(/ (* c -1/2) b_2)
(* c -1/2)
c
-1/2
(/ 1 (/ a (- b_2 (sqrt (- (* b_2 b_2) (* a c))))))
1
(/ a (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
a
(- 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)
(* a c)
c
(* (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (/ 1 (* a a)))
(- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c)))))
(* b_2 a)
b_2
a
(* a (sqrt (- (* b_2 b_2) (* a c))))
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
c
(/ 1 (* a a))
1
(* a a)
Outputs
(* (/ -1 a) (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(+ b_2 (sqrt (- (* b_2 b_2) (* a c))))
(+.f64 b_2 (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)
(* a c)
(*.f64 a c)
c
(* b_2 (/ -2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
b_2
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
-2
#s(literal -2 binary64)
a
(- (* b_2 (/ -2 a)) (/ (* c -1/2) b_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 a)
(/.f64 #s(literal -2 binary64) a)
-2
#s(literal -2 binary64)
a
(/ (* c -1/2) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c -1/2)
(*.f64 c #s(literal -1/2 binary64))
c
-1/2
#s(literal -1/2 binary64)
(/ 1 (/ a (- b_2 (sqrt (- (* b_2 b_2) (* a c))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
1
#s(literal 1 binary64)
(/ a (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
a
(- b_2 (sqrt (- (* b_2 b_2) (* a c))))
(-.f64 b_2 (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)
(* a c)
(*.f64 a c)
c
(* (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (/ 1 (* a a)))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c)))))
(*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(* b_2 a)
(*.f64 a b_2)
b_2
a
(* a (sqrt (- (* b_2 b_2) (* a c))))
(*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(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)
(* a c)
(*.f64 a c)
c
(/ 1 (* a a))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
1
#s(literal 1 binary64)
(* a a)
(*.f64 a a)

localize404.0ms (3.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(/.f64 #s(literal 1 binary64) (*.f64 a a))
accuracy83.9%
(-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
accuracy65.2%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
accuracy57.8%
(*.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
accuracy96.6%
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
accuracy76.5%
(-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy65.2%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
accuracy100.0%
(/.f64 #s(literal -2 binary64) a)
accuracy100.0%
(*.f64 c #s(literal -1/2 binary64))
accuracy100.0%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
accuracy99.7%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy100.0%
(/.f64 #s(literal -2 binary64) a)
accuracy99.7%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy99.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy95.7%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
accuracy78.1%
(+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy65.2%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Results
208.0ms113×2valid
57.0ms89×0valid
54.0ms47×1valid
27.0ms3valid
Compiler

Compiled 240 to 29 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 31.0ms (31.4% of total)
backward-pass: 27.0ms (27.4% of total)
ival-div: 21.0ms (21.3% of total)
ival-sub: 10.0ms (10.1% of total)
ival-sqrt: 5.0ms (5.1% of total)
ival-add: 3.0ms (3% of total)
const: 1.0ms (1% of total)

series58.0ms (0.5%)

Counts
18 → 516
Calls
Call 1
Inputs
#<alt (* (/ -1 a) (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))>
#<alt (/ -1 a)>
#<alt (+ b_2 (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (* b_2 (/ -2 a))>
#<alt (/ -2 a)>
#<alt (- (* b_2 (/ -2 a)) (/ (* c -1/2) b_2))>
#<alt (/ (* c -1/2) b_2)>
#<alt (/ 1 (/ a (- b_2 (sqrt (- (* b_2 b_2) (* a c))))))>
#<alt (/ a (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))>
#<alt (- b_2 (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (* (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (/ 1 (* a a)))>
#<alt (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c)))))>
#<alt (* b_2 a)>
#<alt (* a (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (* c -1/2)>
#<alt (/ 1 (* a a))>
Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ b_2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (+ 1 (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* 2 b_2)>
#<alt (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* 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 (* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (+ (* -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 (/ (+ (* -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 (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))>
#<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 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* 2 b_2)>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))>
#<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 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (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 (* -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 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<alt (/ -2 a)>
#<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))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)>
#<alt (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)>
#<alt (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)>
#<alt (* -1 (/ (* b_2 (- (* -1 a) a)) (pow a 2)))>
#<alt (* -1 (* b_2 (- (+ (* 1/2 (/ c (pow b_2 2))) (/ -1 a)) (/ 1 a))))>
#<alt (* -1 (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (/ -1 a))) (/ 1 a))))>
#<alt (* -1 (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (/ -1 a)))) (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* 1/16 (/ (pow c 3) (pow b_2 5))) (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 a)))>
#<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) (pow (sqrt -1) 3)))) (/ b_2 a))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))>
#<alt (+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 b_2) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* 1/8 (/ a (pow b_2 3))) (* c (+ (* 1/16 (/ (pow a 2) (pow b_2 5))) (* 1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 (* a c))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (- (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (- (* b_2 (+ a (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (- (* b_2 (+ 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)))>
#<alt (* 1/2 (/ (* (pow a 2) c) b_2))>
#<alt (/ (- (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/2 (* (pow a 2) c))) b_2)>
#<alt (/ (- (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))))) b_2)>
#<alt (/ (- (* 1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -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 (* b_2 (- (* -1 a) a)))>
#<alt (* -1 (* b_2 (- (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))) a)))>
#<alt (* -1 (* b_2 (- (+ (* -1 a) (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))) (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (- (+ (* -1 a) (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))) (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))))))>
#<alt (* 1/2 (/ (* (pow a 2) c) b_2))>
#<alt (* (pow a 2) (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2))))>
#<alt (* (pow a 2) (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))>
#<alt (* (pow a 2) (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* (pow a 2) (- (/ 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)))) (/ b_2 a)) (* (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)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (- (/ b_2 a) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (- (* -1 (/ (+ (* -1 b_2) (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* 1/2 (/ (* (pow a 2) c) b_2))>
#<alt (* c (- (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* -1/2 (/ (pow a 2) b_2))))>
#<alt (* c (- (* c (- (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* -1/8 (/ (pow a 3) (pow b_2 3))))) (* -1/2 (/ (pow a 2) b_2))))>
#<alt (* c (- (* c (- (* 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))))) (* -1/8 (/ (pow a 3) (pow b_2 3))))) (* -1/2 (/ (pow a 2) b_2))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* c (- (/ (* 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)))) (/ (* a b_2) c)) (* (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)))) (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (- (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<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)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<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 (* 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))))>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<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))>
Calls

129 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(* b_2 a)
3.0ms
a
@0
(- b_2 (sqrt (- (* b_2 b_2) (* a c))))
2.0ms
a
@-inf
(* b_2 (/ -2 a))
2.0ms
c
@0
(- b_2 (sqrt (- (* b_2 b_2) (* a c))))
2.0ms
a
@0
(/ 1 (* a a))

rewrite349.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
3466×*-lowering-*.f32
3466×*-lowering-*.f64
2960×/-lowering-/.f32
2960×/-lowering-/.f64
2238×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028135
1185131
21557121
08244121
Stop Event
iter limit
node limit
Counts
18 → 830
Calls
Call 1
Inputs
(* (/ -1 a) (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(/ -1 a)
(+ b_2 (sqrt (- (* b_2 b_2) (* a c))))
(sqrt (- (* b_2 b_2) (* a c)))
(* b_2 (/ -2 a))
(/ -2 a)
(- (* b_2 (/ -2 a)) (/ (* c -1/2) b_2))
(/ (* c -1/2) b_2)
(/ 1 (/ a (- b_2 (sqrt (- (* b_2 b_2) (* a c))))))
(/ a (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(- b_2 (sqrt (- (* b_2 b_2) (* a c))))
(* (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (/ 1 (* a a)))
(- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c)))))
(* b_2 a)
(* a (sqrt (- (* b_2 b_2) (* a c))))
(- (* b_2 b_2) (* a c))
(* c -1/2)
(/ 1 (* a a))
Outputs
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(+.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(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)))
(fma.f64 (*.f64 b_2 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (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 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 b_2 b_2) (-.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 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal -1 binary64)) (-.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 a #s(literal -1 binary64)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b_2 b_2) (-.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 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.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 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 a #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #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 (*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 a a))) (/.f64 (neg.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 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a))))))
(/.f64 (-.f64 (*.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64))) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)) (/.f64 a #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 a #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) a)) (-.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 a #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b_2))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 a #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal 1 binary64) b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 a #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal 1 binary64) b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a #s(literal -1 binary64)) b_2)) (*.f64 (/.f64 a #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 a #s(literal -1 binary64))) (*.f64 (/.f64 a #s(literal -1 binary64)) b_2)) (*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 a #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b_2))) (*.f64 (/.f64 a #s(literal -1 binary64)) a))
(/.f64 (+.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 a #s(literal -1 binary64)) (*.f64 b_2 #s(literal -1 binary64)))) (*.f64 (/.f64 a #s(literal -1 binary64)) a))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a #s(literal -1 binary64)) (*.f64 b_2 #s(literal 1 binary64)))) (*.f64 (/.f64 a #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 a #s(literal -1 binary64))) (*.f64 (/.f64 a #s(literal -1 binary64)) (*.f64 b_2 #s(literal 1 binary64)))) (*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) b_2))) (*.f64 (/.f64 a #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 a #s(literal -1 binary64))) (*.f64 (/.f64 a #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) b_2))) (*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a #s(literal -1 binary64))) (*.f64 a b_2)) (*.f64 a (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a (-.f64 #s(literal 0 binary64) b_2))) (*.f64 a a))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a (*.f64 b_2 #s(literal -1 binary64)))) (*.f64 a a))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (*.f64 b_2 #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a #s(literal -1 binary64))) (*.f64 a (*.f64 b_2 #s(literal 1 binary64)))) (*.f64 a (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (*.f64 #s(literal 1 binary64) b_2))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a #s(literal -1 binary64))) (*.f64 a (*.f64 #s(literal 1 binary64) b_2))) (*.f64 a (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 a b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 a #s(literal -1 binary64))) (*.f64 a b_2)) (*.f64 a (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) a) (*.f64 a (-.f64 #s(literal 0 binary64) b_2))) (*.f64 a a))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) a) (*.f64 a (*.f64 b_2 #s(literal -1 binary64)))) (*.f64 a a))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (*.f64 b_2 #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 a #s(literal -1 binary64))) (*.f64 a (*.f64 b_2 #s(literal 1 binary64)))) (*.f64 a (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (*.f64 #s(literal 1 binary64) b_2))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 a #s(literal -1 binary64))) (*.f64 a (*.f64 #s(literal 1 binary64) b_2))) (*.f64 a (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)) (/.f64 a #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)) a) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b_2))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)) a) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
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(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a c))) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) (neg.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a c)))) (neg.f64 (+.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 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c))))) (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a 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 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(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 #s(literal 0 binary64) (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 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.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 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a 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 (*.f64 a 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 (*.f64 a c) (*.f64 a 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 c #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) c)
(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 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) 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 (/.f64 #s(literal 1 binary64) a) 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 #s(literal 0 binary64) (*.f64 a a))))
(*.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 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a))

simplify367.0ms (3.2%)

Algorithm
egg-herbie
Rules
6284×*-lowering-*.f32
6284×*-lowering-*.f64
3762×+-lowering-+.f64
3762×+-lowering-+.f32
1540×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012009491
143838883
086818883
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* (sqrt (* a c)) (sqrt -1))
(+ b_2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (+ 1 (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))) (* (sqrt (* a c)) (sqrt -1)))
(* 2 b_2)
(* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* 1/2 (/ (* a c) b_2))
(* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (+ (* -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 (/ (+ (* -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)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ 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))))
(* 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 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* 2 b_2)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ 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))))
(* 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 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (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)))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* 1/16 (/ (pow c 3) (pow b_2 5))) (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 a))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 b_2) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* 1/2 (/ c b_2))
(/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)
(/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)
(* 2 (/ b_2 a))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a)))))
(* 1/2 (/ c b_2))
(* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* 1/8 (/ a (pow b_2 3))) (* c (+ (* 1/16 (/ (pow a 2) (pow b_2 5))) (* 1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))))))) (* 1/2 (/ 1 b_2))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 (* a c))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))
(* 2 (/ b_2 c))
(+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c)))
(+ (* 2 (/ b_2 c)) (* a (- (* -1 (* a (+ (* -1/8 (/ c (pow b_2 3))) (* 1/4 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* 2 (/ b_2 c)) (* a (- (* a (- (* -1 (* a (+ (* -1/4 (/ (* c (+ (* -1/8 (/ c (pow b_2 3))) (* 1/4 (/ c (pow b_2 3))))) (pow b_2 2))) (+ (* -1/16 (/ (pow c 2) (pow b_2 5))) (* 2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))))))) (+ (* -1/8 (/ c (pow b_2 3))) (* 1/4 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow a 2)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (* c (pow (sqrt -1) 2))))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))))) (/ (* a b_2) c)) a)) (* (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 (* (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))))))))) (+ (* -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)))))) a)) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (- (* -1 (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(* 2 (/ b_2 c))
(* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))) (pow b_2 4))) (* 2 (/ 1 c))) (* 1/2 (/ a (pow b_2 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b_2 6))) (* 2 (/ 1 c))) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) c) (pow b_2 4))) (* 1/2 (/ a (pow b_2 2)))))))
(* 1/2 (/ a b_2))
(* -1 (/ (+ (* -1/2 a) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (+ (* -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))
(* -1 (/ (+ (* -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))) (+ (* -1/32 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* -1/128 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))) b_2))
(* 2 (/ b_2 c))
(/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) c)
(/ (+ (* 2 b_2) (* c (- (* -1 (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/4 (/ (pow a 2) (pow b_2 3)))))) (* 1/2 (/ a b_2))))) c)
(/ (+ (* 2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -1/4 (/ (* a (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/4 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (+ (* -1/16 (/ (pow a 3) (pow b_2 5))) (* 2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)))))) (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/4 (/ (pow a 2) (pow b_2 3)))))) (* 1/2 (/ a b_2))))) c)
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2))))) c)
(* (sqrt (/ a c)) (sqrt -1))
(* -1 (/ (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* b_2 c))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -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)))) (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (* b_2 c))) c))) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))) (* (sqrt (* a c)) (sqrt -1)))
(* 1/2 (/ (* a c) b_2))
(/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)
(/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)
(/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* 2 b_2)
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
(* 1/2 (/ (* a c) b_2))
(* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2))))
(* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* 1/2 (/ (* a c) b_2))
(* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2))))
(* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* 1/2 (/ c b_2))
(/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)
(/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)
(* -1 (/ (* b_2 (- (* -1 a) a)) (pow a 2)))
(* -1 (* b_2 (- (+ (* 1/2 (/ c (pow b_2 2))) (/ -1 a)) (/ 1 a))))
(* -1 (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (/ -1 a))) (/ 1 a))))
(* -1 (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (/ -1 a)))) (/ 1 a))))
(* 1/2 (/ c b_2))
(+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* 1/16 (/ (pow c 3) (pow b_2 5))) (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 a))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 b_2) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 1/2 (/ c b_2))
(* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* 1/8 (/ a (pow b_2 3))) (* c (+ (* 1/16 (/ (pow a 2) (pow b_2 5))) (* 1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))))))) (* 1/2 (/ 1 b_2))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 (* a c))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(- (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(- (* b_2 (+ a (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(- (* b_2 (+ 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))
(/ (- (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/2 (* (pow a 2) c))) b_2)
(/ (- (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))))) b_2)
(/ (- (* 1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -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 (* b_2 (- (* -1 a) a)))
(* -1 (* b_2 (- (+ (* -1 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))) a)))
(* -1 (* b_2 (- (+ (* -1 a) (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4)))) (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* -1 (* b_2 (- (+ (* -1 a) (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6)))) (+ a (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))))))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* (pow a 2) (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2))))
(* (pow a 2) (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))
(* (pow a 2) (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (- (/ 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)))) (/ b_2 a)) (* (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)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (- (/ b_2 a) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (- (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (- (* -1 (/ (+ (* -1 b_2) (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* c (- (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* -1/2 (/ (pow a 2) b_2))))
(* c (- (* c (- (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* -1/8 (/ (pow a 3) (pow b_2 3))))) (* -1/2 (/ (pow a 2) b_2))))
(* c (- (* c (- (* 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))))) (* -1/8 (/ (pow a 3) (pow b_2 3))))) (* -1/2 (/ (pow a 2) b_2))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* c (- (/ (* 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)))) (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (- (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -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)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
(* a (+ b_2 (* -1/2 (/ (* 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 (* 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)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(/ 1 (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))
Outputs
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) b_2) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 a (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(*.f64 a (+.f64 (+.f64 (*.f64 (*.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))))) #s(literal -1/8 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 (/.f64 b_2 a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 b_2 (/.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)))) a)) a)) (-.f64 #s(literal 0 binary64) a))
(* 2 b_2)
(*.f64 b_2 #s(literal 2 binary64))
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))
(+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 (*.f64 b_2 #s(literal 2 binary64)) (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ (* 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 (*.f64 b_2 #s(literal 2 binary64)) (*.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 #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 a c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))
(*.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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 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)) (/ b_2 c)))))
(*.f64 c (+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 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))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 b_2 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (*.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 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))))) c)) c)) (-.f64 #s(literal 0 binary64) c))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (*.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 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.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 (*.f64 a c) #s(literal -1/2 binary64)) (*.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 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (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 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.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 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.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 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 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 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.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 (*.f64 (*.f64 a c) #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 b_2) #s(literal -1/2 binary64)) (/.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 c b_2) #s(literal -1/2 binary64)) (*.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 a c)))
(* 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 (/.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))))) #s(literal -1/8 binary64)) (+.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)))) (+ (* 1/16 (* (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 (/.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))))) #s(literal -1/8 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 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (+.f64 (*.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 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #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 #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 (*.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 #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 a c)))
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(* a b_2)
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(* a b_2)
(*.f64 b_2 a)
(* a b_2)
(*.f64 b_2 a)
(* a b_2)
(*.f64 b_2 a)
(* a b_2)
(*.f64 b_2 a)
(* a b_2)
(*.f64 b_2 a)
(* a (+ b_2 (* -1/2 (/ (* a c) b_2))))
(*.f64 a (+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) 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 c b_2) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.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 c b_2) #s(literal -1/2 binary64)) (*.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 a 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))))))
(* (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 a a) (+.f64 (*.f64 (*.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))))) #s(literal -1/8 binary64)) (+.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)))))))
(* (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 (*.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))))) #s(literal -1/8 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 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -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 #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 (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)))) (+ (* -1/16 (* (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 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))))
(* (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 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.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 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (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 (/.f64 #s(literal 1 binary64) 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 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 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 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.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 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 b_2))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))))))
(* -1 (* a b_2))
(*.f64 a (-.f64 #s(literal 0 binary64) b_2))
(* -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 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 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 b_2 (-.f64 #s(literal 0 binary64) (+.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.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 #s(literal -1/2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 b_2))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (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 b_2 b_2)) (/.f64 (*.f64 a (*.f64 a a)) 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 #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)))))) (*.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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))))))
(* -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 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (*.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)))))))) (-.f64 #s(literal 0 binary64) c))
(* -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 (*.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) (*.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) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 7 binary64)))))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(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 a (/.f64 c (*.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 a (/.f64 c (*.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 a (/.f64 c (*.f64 b_2 b_2)))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c (*.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 a (/.f64 c (*.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 a (/.f64 c (*.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 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(* a (- (/ (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 a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 b_2 b_2)) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 b_2 b_2)) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.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 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
(* c (- (/ (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 a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b_2 b_2) c)) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b_2 b_2) c)) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b_2 b_2) c)) a))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))

eval245.0ms (2.1%)

Compiler

Compiled 47817 to 4147 computations (91.3% saved)

prune227.0ms (2%)

Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New1684231707
Fresh31215
Picked325
Done011
Total1690381728
Accuracy
93.5%
Counts
1728 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.9%
(/.f64 (/.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))))) a)
27.2%
(/.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
30.4%
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
32.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
20.2%
(/.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))))
34.0%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) b_2))
49.4%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
53.7%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
55.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
34.6%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
50.6%
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
20.0%
(/.f64 (-.f64 a (*.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a b_2) a))
2.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) a) a))) (*.f64 a a))
30.8%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
27.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
35.2%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
2.4%
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
34.4%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
23.2%
(/.f64 (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
11.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
11.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
2.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
7.2%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))))
32.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
1.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal -2 binary64)))))
11.8%
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) c))))
15.8%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
5.3%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
22.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
19.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
30.4%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
11.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
55.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
34.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
29.0%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
34.3%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
16.2%
(*.f64 b_2 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
Compiler

Compiled 1389 to 833 computations (40% saved)

simplify212.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
cost-diff0
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
cost-diff128
(-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
cost-diff0
(-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))
cost-diff0
(/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2))))
cost-diff128
(sqrt.f64 (*.f64 b_2 b_2))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))))
cost-diff0
(*.f64 c (*.f64 a a))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2)
cost-diff640
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) c)
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
cost-diff128
(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
Rules
2394×*-lowering-*.f32
2394×*-lowering-*.f64
1992×fnmadd-define
1670×/-lowering-/.f32
1670×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030205
183205
2218190
3741188
42577188
56231188
08686188
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))) a)
(- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))))
(neg b_2)
b_2
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
1
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(/ 1 (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c
(/ (* 1/2 c) b_2)
(* 1/2 c)
1/2
c
b_2
(* (/ (* 1/2 (* c (* a a))) b_2) (/ 1 (* a a)))
(/ (* 1/2 (* c (* a a))) b_2)
(* 1/2 (* c (* a a)))
1/2
(* c (* a a))
c
(* a a)
a
b_2
(/ 1 (* a a))
1
(/ 1 (/ a (- b_2 (sqrt (* b_2 b_2)))))
1
(/ a (- b_2 (sqrt (* b_2 b_2))))
a
(- b_2 (sqrt (* b_2 b_2)))
b_2
(sqrt (* b_2 b_2))
(* b_2 b_2)
(/ (- (neg b_2) (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))) a)
(- (neg b_2) (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c)))))
(neg b_2)
b_2
(/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c
(sqrt (- (* b_2 b_2) (* a c)))
Outputs
(/ (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))) a)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2) a)
(- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/ 1 (- (* b_2 b_2) (* a c)))
(/.f64 #s(literal 1 binary64) (-.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)
(* a c)
(*.f64 a c)
a
c
(/ (* 1/2 c) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(* 1/2 c)
(*.f64 c #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
c
b_2
(* (/ (* 1/2 (* c (* a a))) b_2) (/ 1 (* a a)))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/ (* 1/2 (* c (* a a))) b_2)
(*.f64 a (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2))
(* 1/2 (* c (* a a)))
(*.f64 a (*.f64 a (*.f64 c #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(* c (* a a))
(*.f64 a (*.f64 a c))
c
(* a a)
(*.f64 a a)
a
b_2
(/ 1 (* a a))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
1
#s(literal 1 binary64)
(/ 1 (/ a (- b_2 (sqrt (* b_2 b_2)))))
(/.f64 (-.f64 b_2 (fabs.f64 b_2)) a)
1
#s(literal 1 binary64)
(/ a (- b_2 (sqrt (* b_2 b_2))))
(/.f64 a (-.f64 b_2 (fabs.f64 b_2)))
a
(- b_2 (sqrt (* b_2 b_2)))
(-.f64 b_2 (fabs.f64 b_2))
b_2
(sqrt (* b_2 b_2))
(fabs.f64 b_2)
(* b_2 b_2)
(*.f64 b_2 b_2)
(/ (- (neg b_2) (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))) a)
(-.f64 (/.f64 (-.f64 c (/.f64 (*.f64 b_2 b_2) a)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 b_2 a))
(- (neg b_2) (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c)))))
(-.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b_2 b_2)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 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)
(* a c)
(*.f64 a c)
a
c
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

localize402.0ms (3.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy96.0%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
accuracy80.9%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
accuracy80.9%
(/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy78.1%
(-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
accuracy100.0%
(-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))
accuracy100.0%
(*.f64 b_2 b_2)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))))
accuracy75.6%
(sqrt.f64 (*.f64 b_2 b_2))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 a a))
accuracy95.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2)
accuracy95.4%
(*.f64 c (*.f64 a a))
accuracy79.1%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
accuracy100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) c)
accuracy99.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy96.0%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
accuracy80.7%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy78.1%
(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
Results
149.0ms78×1invalid
79.0ms44×2valid
54.0ms20×3valid
29.0ms21×1valid
22.0ms54×0invalid
18.0ms39×0valid
Compiler

Compiled 262 to 31 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-div: 32.0ms (32.7% of total)
ival-mult: 22.0ms (22.5% of total)
backward-pass: 18.0ms (18.4% of total)
ival-sqrt: 13.0ms (13.3% of total)
ival-sub: 10.0ms (10.2% of total)
ival-neg: 3.0ms (3.1% of total)
const: 1.0ms (1% of total)

series39.0ms (0.3%)

Counts
21 → 536
Calls
Call 1
Inputs
#<alt (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))))>
#<alt (/ (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))) a)>
#<alt (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))>
#<alt (sqrt (/ 1 (- (* b_2 b_2) (* a c))))>
#<alt (/ (* 1/2 c) b_2)>
#<alt (* 1/2 c)>
#<alt (* (/ (* 1/2 (* c (* a a))) b_2) (/ 1 (* a a)))>
#<alt (/ (* 1/2 (* c (* a a))) b_2)>
#<alt (* 1/2 (* c (* a a)))>
#<alt (* c (* a a))>
#<alt (/ 1 (/ a (- b_2 (sqrt (* b_2 b_2)))))>
#<alt (sqrt (* b_2 b_2))>
#<alt (/ a (- b_2 (sqrt (* b_2 b_2))))>
#<alt (- b_2 (sqrt (* b_2 b_2)))>
#<alt (- (neg b_2) (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c)))))>
#<alt (/ (- (neg b_2) (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))) a)>
#<alt (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (/ 1 (* a a))>
#<alt (* b_2 b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
Outputs
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))>
#<alt (* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (* (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 (/ 1 (* a c))) (sqrt -1))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (* a (* c (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow c 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1)))))))))>
#<alt (/ 1 b_2)>
#<alt (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2)>
#<alt (/ -1 b_2)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2))>
#<alt (/ 1 b_2)>
#<alt (+ (* 1/2 (/ (* a c) (pow b_2 3))) (/ 1 b_2))>
#<alt (+ (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))))) (* 1/2 (/ c (pow b_2 3))))) (/ 1 b_2))>
#<alt (+ (* a (+ (* 1/2 (/ c (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 3) (pow b_2 8))) (* -1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))) (pow b_2 2))))))) (* -1/2 (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6)))))))))) (/ 1 b_2))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
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#<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))))>
#<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 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 (* (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)))))))>
Calls

144 calls:

TimeVariablePointExpression
5.0ms
b_2
@0
(- b_2 (sqrt (* b_2 b_2)))
5.0ms
b_2
@inf
(sqrt (* b_2 b_2))
1.0ms
b_2
@0
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
1.0ms
a
@inf
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
1.0ms
c
@0
(/ (* 1/2 (* c (* a a))) b_2)

rewrite855.0ms (7.4%)

Algorithm
batch-egg-rewrite
Rules
2912×*-lowering-*.f32
2912×*-lowering-*.f64
2702×/-lowering-/.f32
2702×/-lowering-/.f64
1474×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030141
1207128
21817119
09096119
Stop Event
iter limit
node limit
Counts
21 → 1306
Calls
Call 1
Inputs
(- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))))
(/ (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))) a)
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(/ (* 1/2 c) b_2)
(* 1/2 c)
(* (/ (* 1/2 (* c (* a a))) b_2) (/ 1 (* a a)))
(/ (* 1/2 (* c (* a a))) b_2)
(* 1/2 (* c (* a a)))
(* c (* a a))
(/ 1 (/ a (- b_2 (sqrt (* b_2 b_2)))))
(sqrt (* b_2 b_2))
(/ a (- b_2 (sqrt (* b_2 b_2))))
(- b_2 (sqrt (* b_2 b_2)))
(- (neg b_2) (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c)))))
(/ (- (neg b_2) (/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))) a)
(/ (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
(- (* b_2 b_2) (* a c))
(/ 1 (* a a))
(* b_2 b_2)
(sqrt (- (* b_2 b_2) (* a c)))
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 #s(literal -1 binary64) (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 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (neg.f64 (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)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b_2))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 (*.f64 a c) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (fma.f64 b_2 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(+.f64 (fma.f64 #s(literal -1 binary64) b_2 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(+.f64 (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
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b_2
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(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
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(+.f64 (-.f64 b_2 b_2) (-.f64 b_2 b_2))
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(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))))
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (*.f64 a (*.f64 a c)))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.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 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)))))) (sqrt.f64 (+.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c))))) (sqrt.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 a c)))))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (neg.f64 (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 b_2)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 b_2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a c))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 b_2)) (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a c))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 b_2 b_2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a c))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a c))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 b_2 b_2)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a c))) (*.f64 (-.f64 #s(literal 0 binary64) (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 (neg.f64 (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (*.f64 a (*.f64 a c)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -3/2 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 a c) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (*.f64 a c) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 a c) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (*.f64 a c) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c))))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) (neg.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (*.f64 a (*.f64 a c)))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) (neg.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c))))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (*.f64 a (*.f64 a c)))))) (neg.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 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(*.f64 (sqrt.f64 (-.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))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (*.f64 a (*.f64 a c))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (*.f64 a (*.f64 a c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (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 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (*.f64 a (*.f64 a c))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (*.f64 a (*.f64 a c))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))

simplify378.0ms (3.3%)

Algorithm
egg-herbie
Rules
7606×*-lowering-*.f32
7606×*-lowering-*.f64
3534×+-lowering-+.f64
3534×+-lowering-+.f32
1682×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07218824
125368234
082848234
Stop Event
iter limit
node limit
Counts
536 → 536
Calls
Call 1
Inputs
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* (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 (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (* a (* c (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow c 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1)))))))))
(/ 1 b_2)
(/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2)
(/ -1 b_2)
(* -1 (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2))
(/ 1 b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))))) (* 1/2 (/ c (pow b_2 3))))) (/ 1 b_2))
(+ (* a (+ (* 1/2 (/ c (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 3) (pow b_2 8))) (* -1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))) (pow b_2 2))))))) (* -1/2 (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6)))))))))) (/ 1 b_2))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/4 (/ (* a (pow b_2 4)) (* (pow c 3) (pow (sqrt -1) 2)))) (/ (pow b_2 6) (pow c 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow c 5))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/4 (/ (* a (pow b_2 4)) (pow c 3))) (/ (pow b_2 6) (pow c 4))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(/ 1 b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* c (+ (* -1/2 (* b_2 (* c (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6))))))) (* 1/2 (/ a (pow b_2 3))))) (/ 1 b_2))
(+ (* c (+ (* 1/2 (/ a (pow b_2 3))) (* c (+ (* -1/2 (* b_2 (* c (+ (* -1 (/ (pow a 3) (pow b_2 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6))))) (pow b_2 2))))))) (* -1/2 (* b_2 (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6)))))))))) (/ 1 b_2))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/4 (/ (* (pow b_2 4) c) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow b_2 6) (pow a 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow b_2 4) c) (pow a 3))) (/ (pow b_2 6) (pow a 4)))))) (* 1/2 (* (sqrt (/ c (pow a 5))) (* (pow b_2 4) (sqrt -1))))) (pow c 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 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)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (/ (* (pow a 2) c) b_2))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
(* 1/2 (/ a b_2))
0
0
0
0
0
0
0
0
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* (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))))
(/ 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 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)
(* (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)))))))
Outputs
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (*.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 a c)))) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (*.f64 b_2 (+.f64 (*.f64 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 a c))) (sqrt.f64 #s(literal -1 binary64)))))) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) #s(literal -2 binary64)))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 b_2 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 b_2 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b_2 b_2)) (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)))) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (+.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (+.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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 b_2 a) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 a c)))) a)) b_2) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (-.f64 #s(literal 0 binary64) a))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) c) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2)))) (*.f64 b_2 #s(literal -2 binary64)))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+.f64 (*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) c) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a a) (*.f64 b_2 (*.f64 b_2 b_2)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2)))) (*.f64 b_2 #s(literal -2 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ 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 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ 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 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (/.f64 b_2 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 c a)))) (-.f64 #s(literal 0 binary64) c)) b_2) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -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))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(-.f64 (*.f64 b_2 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(-.f64 (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (sqrt.f64 #s(literal -1 binary64)))) (*.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 #s(literal -1 binary64) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) a)))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64)))) (-.f64 (/.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 2 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 a (*.f64 c c)) b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 a (*.f64 c c)) b_2)) (*.f64 c #s(literal 1/2 binary64))) (/.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 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
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(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (+.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(-.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 b_2 a) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (+.f64 b_2 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))) a))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.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 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) a)) a))
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
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(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 b_2 a) c)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
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(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
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(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(*.f64 (-.f64 (/.f64 (/.f64 b_2 a) c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (/.f64 b_2 a)) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 (*.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))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 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 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.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))))))
(+ (* (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 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b_2 b_2) (+.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 (*.f64 a c) #s(literal -1/2 binary64)) (*.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 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(*.f64 b_2 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.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 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.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 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))) (-.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 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.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 (*.f64 (*.f64 a c) #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 #s(literal -1/2 binary64) c) b_2) (*.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 (*.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 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 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 #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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.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 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (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))))))
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
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b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
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(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (+.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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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
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(* -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)))))))
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(* (sqrt (/ 1 (* a c))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
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(+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (* a (* c (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow c 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1)))))))))
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(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2))) b_2)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal -3/4 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal -3/4 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal -3/4 binary64)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))) b_2)
(/ -1 b_2)
(/.f64 #s(literal -1 binary64) b_2)
(* -1 (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal -3/4 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal -3/4 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal -3/4 binary64)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))) b_2))
(/ 1 b_2)
(/.f64 #s(literal 1 binary64) b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))))
(+ (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))))) (* 1/2 (/ c (pow b_2 3))))) (/ 1 b_2))
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(+ (* a (+ (* 1/2 (/ c (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 3) (pow b_2 8))) (* -1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))) (pow b_2 2))))))) (* -1/2 (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6)))))))))) (/ 1 b_2))
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(* (sqrt (/ 1 (* a c))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/4 (/ (* a (pow b_2 4)) (* (pow c 3) (pow (sqrt -1) 2)))) (/ (pow b_2 6) (pow c 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1/2 (/ c b_2))
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(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
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(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
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(* (sqrt (* a c)) (sqrt -1))
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b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.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))))))
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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 (*.f64 a c) #s(literal -1/2 binary64)) (*.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)))))))
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(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.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 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
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(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.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 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
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(* 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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 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 #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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.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 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (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 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #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 #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))))))
(+ 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 #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 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (+.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)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 #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 (*.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 #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 (*.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 (/.f64 #s(literal 1 binary64) (*.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) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(- (pow b_2 2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(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 a c) (*.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 a c) (*.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 a c) (*.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.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 a c) (*.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 a c) (*.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 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))
(* a (- (/ (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 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))
(* -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 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))
(* c (- (/ (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 a c))
(* -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))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(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)
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 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 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.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))))))
(+ (* (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 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b_2 b_2) (+.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 (*.f64 a c) #s(literal -1/2 binary64)) (*.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 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(*.f64 b_2 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.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 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.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 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))) (-.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 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.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 (*.f64 (*.f64 a c) #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 #s(literal -1/2 binary64) c) b_2) (*.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 (*.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 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 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 #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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.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 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (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 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #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 #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))))))
(+ 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 #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 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (+.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)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 #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 (*.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 #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 (*.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 (/.f64 #s(literal 1 binary64) (*.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) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) c))

eval307.0ms (2.7%)

Compiler

Compiled 68875 to 5896 computations (91.4% saved)

prune258.0ms (2.2%)

Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New2308112319
Fresh32730
Picked235
Done033
Total2313442357
Accuracy
93.5%
Counts
2357 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.9%
(/.f64 (/.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))))) a)
27.2%
(/.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
30.4%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
7.1%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c))) b_2) (*.f64 a a))
32.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
33.5%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) #s(literal 1 binary64))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
54.5%
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))) a)
26.8%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)))) a)
26.5%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))))) a)
49.4%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
32.4%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))) a)
34.3%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c)))))) a)
49.3%
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
55.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
34.6%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
50.6%
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
20.0%
(/.f64 (-.f64 a (*.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a b_2) a))
2.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) a) a))) (*.f64 a a))
30.8%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
27.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
35.2%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
2.4%
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
34.4%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
23.2%
(/.f64 (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
11.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
11.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
2.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
7.2%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))))
1.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) b_2)) #s(literal 2 binary64)))))))
32.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
1.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal -2 binary64)))))
7.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a)))
11.8%
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) c))))
15.8%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
22.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
19.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
30.4%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
11.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
55.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
34.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
29.0%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
34.3%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
16.2%
(*.f64 b_2 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
Compiler

Compiled 1626 to 971 computations (40.3% saved)

simplify163.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
cost-diff128
(/.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)))))
cost-diff256
(/.f64 (/.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))))) a)
cost-diff384
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
cost-diff0
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
cost-diff0
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))
cost-diff0
(/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c))))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a)))
cost-diff512
(*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a))
cost-diff0
(*.f64 b_2 #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))
cost-diff0
(-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))) a)
Rules
2260×*-lowering-*.f32
2260×*-lowering-*.f64
2158×sum3-define
1950×fma-lowering-fma.f32
1950×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034239
193237
2258226
3937205
43179199
57023199
08642199
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (neg b_2) (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)) a)
(- (neg b_2) (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2))
(neg b_2)
b_2
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(/ 1 (- (* b_2 b_2) (* a c)))
1
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c
-1/2
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(/ 1 (* (/ b_2 (* 1/2 (* a (* a c)))) (* a a)))
1
(* (/ b_2 (* 1/2 (* a (* a c)))) (* a a))
(/ b_2 (* 1/2 (* a (* a c))))
b_2
(* 1/2 (* a (* a c)))
1/2
(* a (* a c))
a
(* a c)
c
(* a a)
(/ 1 (/ a (- b_2 (sqrt (- 0 (* a c))))))
1
(/ a (- b_2 (sqrt (- 0 (* a c)))))
a
(- b_2 (sqrt (- 0 (* a c))))
b_2
(sqrt (- 0 (* a c)))
(- 0 (* a c))
0
(* a c)
c
(/ (/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) a)
(/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(- (- (* b_2 b_2) (* a c)) (* b_2 b_2))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c
(- b_2 (sqrt (- (* b_2 b_2) (* a c))))
(sqrt (- (* b_2 b_2) (* a c)))
Outputs
(/ (- (neg b_2) (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)) a)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))) a))
(- (neg b_2) (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))
(/ 1 (- (* b_2 b_2) (* a c)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
1
#s(literal 1 binary64)
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
(* a c)
(*.f64 a c)
a
c
-1/2
#s(literal -1/2 binary64)
(/ (* 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
(/ 1 (* (/ b_2 (* 1/2 (* a (* a c)))) (* a a)))
(/.f64 c (/.f64 b_2 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* (/ b_2 (* 1/2 (* a (* a c)))) (* a a))
(/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))
(/ b_2 (* 1/2 (* a (* a c))))
(/.f64 b_2 (*.f64 a (*.f64 a (*.f64 c #s(literal 1/2 binary64)))))
b_2
(* 1/2 (* a (* a c)))
(*.f64 a (*.f64 a (*.f64 c #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(* a (* a c))
(*.f64 a (*.f64 a c))
a
(* a c)
(*.f64 a c)
c
(* a a)
(*.f64 a a)
(/ 1 (/ a (- b_2 (sqrt (- 0 (* a c))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
1
#s(literal 1 binary64)
(/ a (- b_2 (sqrt (- 0 (* a c)))))
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
a
(- b_2 (sqrt (- 0 (* a c))))
(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
b_2
(sqrt (- 0 (* a c)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(- 0 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
0
#s(literal 0 binary64)
(* a c)
(*.f64 a c)
c
(/ (/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) a)
(/.f64 c (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(/.f64 (*.f64 a c) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(- (- (* b_2 b_2) (* a c)) (* b_2 b_2))
(-.f64 #s(literal 0 binary64) (*.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 (sqrt (- (* b_2 b_2) (* a c))))
(-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

localize301.0ms (2.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy87.7%
(-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy87.7%
(/.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)))))
accuracy79.0%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
accuracy71.7%
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))
accuracy100.0%
(*.f64 a c)
accuracy99.8%
(/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
accuracy87.2%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
accuracy99.9%
(*.f64 a (*.f64 a c))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a)))
accuracy93.6%
(/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c))))
accuracy69.9%
(*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a))
accuracy100.0%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
accuracy100.0%
(*.f64 b_2 #s(literal -2 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
accuracy99.1%
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))) a)
accuracy89.7%
(-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)))
accuracy78.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))
Results
83.0ms45×2valid
51.0ms85×0invalid
46.0ms88×0valid
38.0ms14×3valid
27.0ms24×1valid
Compiler

Compiled 285 to 35 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-div: 27.0ms (24% of total)
ival-pow: 23.0ms (20.4% of total)
ival-sub: 19.0ms (16.9% of total)
ival-mult: 19.0ms (16.9% of total)
backward-pass: 15.0ms (13.3% of total)
ival-sqrt: 6.0ms (5.3% of total)
ival-neg: 2.0ms (1.8% of total)
const: 1.0ms (0.9% of total)

series68.0ms (0.6%)

Counts
22 → 708
Calls
Call 1
Inputs
#<alt (/ (- (neg b_2) (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)) a)>
#<alt (- (neg b_2) (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2))>
#<alt (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)>
#<alt (/ 1 (- (* b_2 b_2) (* a c)))>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (* (/ b_2 (* 1/2 (* a (* a c)))) (* a a))>
#<alt (/ 1 (* (/ b_2 (* 1/2 (* a (* a c)))) (* a a)))>
#<alt (/ b_2 (* 1/2 (* a (* a c))))>
#<alt (* 1/2 (* a (* a c)))>
#<alt (/ 1 (/ a (- b_2 (sqrt (- 0 (* a c))))))>
#<alt (/ a (- b_2 (sqrt (- 0 (* a c)))))>
#<alt (- b_2 (sqrt (- 0 (* a c))))>
#<alt (sqrt (- 0 (* a c)))>
#<alt (- (- (* b_2 b_2) (* a c)) (* b_2 b_2))>
#<alt (/ (/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) a)>
#<alt (/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (* a (* a c))>
#<alt (* a c)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- b_2 (sqrt (- (* b_2 b_2) (* a c))))>
Outputs
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c)))>
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))>
#<alt (+ (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))>
#<alt (+ (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))>
#<alt (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) 2))>
#<alt (* b_2 (- (+ (* -1/4 (/ (* a (* c (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b_2 6) c))))))))) 2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2))>
#<alt (* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 4))) (* -1/128 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (* 1/2 (* a c))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2))>
#<alt (* -2 b_2)>
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#<alt (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/4 (/ (pow c 2) (pow b_2 3))))))))>
#<alt (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (+ (* 1/4 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/4 (/ (* c (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/4 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* 2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c)))))))))))>
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2))) a)))>
#<alt (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) c)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (* a b_2))) a)))>
#<alt (* -2 b_2)>
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#<alt (+ (* -2 b_2) (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (+ (* 1/4 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/4 (/ (* a (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/4 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (+ (* -1/16 (/ (pow a 3) (pow b_2 5))) (* 2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)))))))))))>
#<alt (* (sqrt (* a c)) (/ 1 (sqrt -1)))>
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#<alt (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* b_2 c))) c)))>
#<alt (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -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)))) (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (* b_2 c))) c)))>
#<alt (* -1 (* a c))>
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#<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)>
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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)>
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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 (* 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 (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 (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) c)>
#<alt (* (pow a 2) 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 (* (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))>
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#<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)))) (+ (* 1/16 (* (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>
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#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<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)))>
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#<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 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* 1/2 (/ (* a c) b_2))>
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#<alt (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* 2 b_2)>
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#<alt (* 1/2 (/ (* a c) b_2))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (* 1/2 (/ (* a c) b_2))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
Calls

177 calls:

TimeVariablePointExpression
11.0ms
c
@inf
(/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
5.0ms
c
@inf
(/ (/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) a)
4.0ms
b_2
@0
(/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
3.0ms
a
@inf
(/ 1 (/ a (- b_2 (sqrt (- 0 (* a c))))))
1.0ms
a
@inf
(/ (/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) a)

rewrite307.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
2378×*-lowering-*.f32
2378×*-lowering-*.f64
2198×/-lowering-/.f32
2198×/-lowering-/.f64
1648×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034198
1232185
22034154
09443154
Stop Event
iter limit
node limit
Counts
22 → 1057
Calls
Call 1
Inputs
(/ (- (neg b_2) (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)) a)
(- (neg b_2) (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2))
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(/ 1 (- (* b_2 b_2) (* a c)))
(/ (* b_2 -2) a)
(* b_2 -2)
(* (/ b_2 (* 1/2 (* a (* a c)))) (* a a))
(/ 1 (* (/ b_2 (* 1/2 (* a (* a c)))) (* a a)))
(/ b_2 (* 1/2 (* a (* a c))))
(* 1/2 (* a (* a c)))
(/ 1 (/ a (- b_2 (sqrt (- 0 (* a c))))))
(/ a (- b_2 (sqrt (- 0 (* a c)))))
(- b_2 (sqrt (- 0 (* a c))))
(sqrt (- 0 (* a c)))
(- (- (* b_2 b_2) (* a c)) (* b_2 b_2))
(/ (/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) a)
(/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
(- (* b_2 b_2) (* a c))
(* a (* a c))
(* a c)
(sqrt (- (* b_2 b_2) (* a c)))
(- b_2 (sqrt (- (* b_2 b_2) (* a c))))
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (fma.f64 (neg.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) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (fma.f64 (neg.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) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1 binary64))))
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) (*.f64 a c)) (*.f64 b_2 b_2)) (neg.f64 (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (*.f64 a (+.f64 (*.f64 b_2 b_2) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))) (*.f64 a (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) a) (*.f64 a (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b_2 b_2) (-.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 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 a (+.f64 (*.f64 b_2 b_2) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a))) (/.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 b_2 a) (/.f64 b_2 a)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))
(/.f64 (-.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 b_2 b_2) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) #s(literal 1 binary64))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b_2)) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b_2)) a) (*.f64 (-.f64 #s(literal 0 binary64) a) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) a) (*.f64 a (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 b_2 b_2) (-.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 (neg.f64 (-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a))) (/.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.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 (*.f64 a c) (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(pow.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal -1 binary64)))
(*.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (pow.f64 (/.f64 a (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (pow.f64 (/.f64 a (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(+.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (-.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) (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 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
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(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (-.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 (*.f64 a c)))))))
(/.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) (*.f64 a c))))
(/.f64 (sqrt.f64 (+.f64 (*.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 a c))))) (*.f64 (+.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (+.f64 (*.f64 a c) (*.f64 a c)) (+.f64 (*.f64 a c) (*.f64 a c)))))) (sqrt.f64 (+.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) (-.f64 (*.f64 (+.f64 (*.f64 a c) (*.f64 a c)) (+.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 a c) (*.f64 a c)))))))
(/.f64 (sqrt.f64 (-.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (+.f64 (*.f64 a c) (*.f64 a c)) (+.f64 (*.f64 a c) (*.f64 a c))))) (sqrt.f64 (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 a c) (*.f64 a c)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))))) (sqrt.f64 (+.f64 (*.f64 a (*.f64 c (*.f64 a c))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 b_2 (*.f64 b_2 (*.f64 a c)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (sqrt.f64 (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(pow.f64 (+.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 -1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 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 a c))))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (sqrt.f64 (+.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))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (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 (sqrt.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64))))
(+.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)
(-.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 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.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 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(-.f64 (/.f64 (*.f64 b_2 b_2) (+.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 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(fma.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64))) b_2)
(fma.f64 (neg.f64 (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)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))))
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) (*.f64 a c)) (*.f64 b_2 b_2)) (neg.f64 (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (+.f64 (*.f64 b_2 b_2) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.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 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))) (-.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (neg.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.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 (*.f64 b_2 (*.f64 b_2 b_2)) (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (*.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(pow.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (pow.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(*.f64 (+.f64 (*.f64 b_2 b_2) (-.f64 (*.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))))))

simplify347.0ms (3%)

Algorithm
egg-herbie
Rules
5032×*-lowering-*.f32
5032×*-lowering-*.f64
2470×+-lowering-+.f64
2470×+-lowering-+.f32
2020×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0126710898
1460510072
0841310072
Stop Event
iter limit
node limit
Counts
708 → 708
Calls
Call 1
Inputs
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(/ -1 (* a c))
(- (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(- (* (pow b_2 2) (- (* -1 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(- (* (pow b_2 2) (- (* (pow b_2 2) (- (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ 1 (pow b_2 2))
(/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) (pow b_2 2))
(/ 1 (pow b_2 2))
(/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) (pow b_2 2))
(/ 1 (pow b_2 2))
(+ (/ 1 (pow b_2 2)) (/ (* a c) (pow b_2 4)))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (* -1 (/ c (pow b_2 4))))) (/ 1 (pow b_2 2)))
(+ (* a (- (* a (- (/ (* a (pow c 3)) (pow b_2 8)) (* -1 (/ (pow c 2) (pow b_2 6))))) (* -1 (/ c (pow b_2 4))))) (/ 1 (pow b_2 2)))
(/ -1 (* a c))
(/ (- (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (+ (/ 1 c) (/ (pow b_2 2) (* a (pow c 2))))) a)
(/ (- (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (+ (/ 1 c) (+ (/ (pow b_2 2) (* a (pow c 2))) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))))) a)
(/ -1 (* a c))
(* -1 (/ (+ (/ 1 c) (/ (pow b_2 2) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* a (pow c 3)))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (* -1 (/ (pow b_2 4) (pow c 3)))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(/ 1 (pow b_2 2))
(+ (/ 1 (pow b_2 2)) (/ (* a c) (pow b_2 4)))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (* -1 (/ a (pow b_2 4))))) (/ 1 (pow b_2 2)))
(+ (* c (- (* c (- (/ (* (pow a 3) c) (pow b_2 8)) (* -1 (/ (pow a 2) (pow b_2 6))))) (* -1 (/ a (pow b_2 4))))) (/ 1 (pow b_2 2)))
(/ -1 (* a c))
(/ (- (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(/ (- (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (+ (/ 1 a) (+ (/ (pow b_2 2) (* (pow a 2) c)) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))))) c)
(/ -1 (* a c))
(* -1 (/ (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (* -1 (/ (pow b_2 4) (pow a 3)))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 2 (/ b_2 c))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 2 (/ b_2 (* (pow a 2) c)))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(* 1/2 (* (pow a 2) c))
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(/ b_2 a)
(* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(/ b_2 a)
(* -1 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(* -1 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(* -1 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))))
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(/ (- b_2 (* (sqrt (* a c)) (sqrt -1))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))))
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(/ a (- b_2 (* (sqrt (* a c)) (sqrt -1))))
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(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4)))))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (* c (pow (sqrt -1) 2)))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))
(+ (* -1 (/ (- (* -1 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (pow b_2 3)) (pow c 2))) (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
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(/ a b_2)
(/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)
(/ (- (+ a (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2))) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2)
(/ (- (+ a (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3)))) (+ (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2))))) b_2)
(/ a b_2)
(* -1 (/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) b_2))) b_2))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -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))
(/ a (- b_2 (* (sqrt (* a c)) (sqrt -1))))
(/ a (- b_2 (* (sqrt (* a c)) (sqrt -1))))
(/ a (- b_2 (* (sqrt (* a c)) (sqrt -1))))
(/ a (- b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4)))))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2)))) c)
(* (sqrt (/ a c)) (sqrt -1))
(* -1 (/ (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))) (* -1 (* b_2 c))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b_2 3) c) a) (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) c)) (* -1 (* b_2 c))) c))) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
b_2
(* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
b_2
(* -1 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)))
(* -1 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)))
(* -1 (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (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))
(* -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))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* -1/4 (/ (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))))) (pow b_2 6))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b_2 6) c))))))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 3) (pow c 4))) (* -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))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/4 (/ (pow c 2) (pow b_2 3)))))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (+ (* 1/4 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/4 (/ (* c (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/4 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* 2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c))))))))))) a)
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2))))) a)
(/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) c)) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))))) a)) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/4 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (+ (* 1/4 (/ a (pow b_2 3))) (* c (+ (* -1/4 (/ (* a (+ (* -1/8 (/ a (pow b_2 3))) (* 1/4 (/ a (pow b_2 3))))) (pow b_2 2))) (+ (* -1/16 (/ (pow a 2) (pow b_2 5))) (* 2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2))))))))) (* 1/2 (/ 1 b_2)))))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (/ (* b_2 c) a))) c)))
(* (sqrt (* a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))
(+ (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) 2))
(* b_2 (- (+ (* -1/4 (/ (* a (* c (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b_2 6) c))))))))) 2))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 4))) (* -1/128 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (* 1/2 (* a c))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/4 (/ (pow c 2) (pow b_2 3))))))))
(+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (+ (* 1/4 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/4 (/ (* c (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/4 (/ (pow c 2) (pow b_2 3))))) (pow b_2 2))) (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* 2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) c)))))))))))
(* (sqrt (* a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* a b_2))) a)))
(+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) c)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (* a b_2))) a)))
(* -2 b_2)
(+ (* -2 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -2 b_2) (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/4 (/ (pow a 2) (pow b_2 3))))))))
(+ (* -2 b_2) (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (+ (* 1/4 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/4 (/ (* a (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/4 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (+ (* -1/16 (/ (pow a 3) (pow b_2 5))) (* 2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)))))))))))
(* (sqrt (* a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2)))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1))) (/ b_2 (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1 (* b_2 c))) c)))
(+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -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)))) (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* -1 (* b_2 c))) c)))
(* -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))))
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) c)
(* (pow a 2) 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)
(* (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 (* (sqrt (* a c)) (sqrt -1)))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))) (* (sqrt (* a c)) (sqrt -1)))
(* 1/2 (/ (* a c) b_2))
(/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)
(/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)
(/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* 2 b_2)
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
(* 1/2 (/ (* a c) b_2))
(* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2))))
(* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* 1/2 (/ (* a c) b_2))
(* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2))))
(* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
Outputs
(* -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 #s(literal 0 binary64) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(-.f64 (*.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))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(-.f64 (*.f64 b_2 (+.f64 (*.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)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) (/.f64 #s(literal -1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2))) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2)))) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2))) (*.f64 #s(literal 1/2 binary64) (+.f64 c (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) a)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b_2 b_2))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
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(*.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 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ 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 (/.f64 b_2 c) (*.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)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (/.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) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 (-.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))))) (-.f64 #s(literal 0 binary64) c)) b_2) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.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 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (*.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)))))))))
(+ (* (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 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.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 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2))))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 c c)) (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 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.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 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.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 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2))))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 c c)) (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 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.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))))))
(+.f64 b_2 (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) 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 #s(literal -1/2 binary64) (/.f64 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 a (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 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 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 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 (/.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 1/16 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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (*.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 (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 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (+.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 (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 (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 #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 #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 #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 (*.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 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))))))))
(* -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 (+ (* 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))))))) (-.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))))))
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(* (sqrt (* a c)) (sqrt -1))
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b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
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(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
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(* -1 b_2)
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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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b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
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(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.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))))) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 (-.f64 b_2 (/.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))))) c)) (-.f64 #s(literal 0 binary64) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))

eval305.0ms (2.7%)

Compiler

Compiled 75007 to 7687 computations (89.8% saved)

prune302.0ms (2.6%)

Pruning

42 alts after pruning (35 fresh and 7 done)

PrunedKeptTotal
New2482112493
Fresh92433
Picked235
Done246
Total2495422537
Accuracy
99.8%
Counts
2537 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.9%
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))) #s(literal -2 binary64))))) a)
49.3%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
27.2%
(/.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
30.4%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
7.1%
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))
32.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
34.4%
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) a)
26.8%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)))) a)
26.5%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))))) a)
34.3%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c)))))) a)
49.3%
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
55.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
34.6%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
20.0%
(/.f64 (-.f64 a (*.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a b_2) a))
2.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) a) a))) (*.f64 a a))
30.8%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
27.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
35.2%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
2.4%
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
34.4%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
23.2%
(/.f64 (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
11.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
2.4%
(/.f64 b_2 a)
11.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
2.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))
13.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)))))
20.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)))))
27.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
7.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))))
18.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 (*.f64 a (*.f64 a c)) #s(literal -1/2 binary64))) (*.f64 a a)))
7.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a)))
24.7%
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))))) a))
11.8%
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) c))))
22.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
19.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
30.4%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
11.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
55.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
34.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
34.3%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
16.2%
(*.f64 b_2 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
19.7%
(neg.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a)))
Compiler

Compiled 1858 to 741 computations (60.1% saved)

regimes80.0ms (0.7%)

Counts
66 → 4
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) a) a))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c))) b_2) (*.f64 a a))
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) c))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 (*.f64 a (*.f64 a c)) #s(literal -1/2 binary64))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 (neg.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 #s(literal 0 binary64) b_2))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)))) a)
(/.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))))) a)
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))) #s(literal -2 binary64))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) 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 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 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c)))))) a)
(/.f64 (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))) a)
(*.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (-.f64 a (*.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a b_2) a))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) 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 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 b_2 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)))))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) #s(literal 1 binary64))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) b_2)) #s(literal 2 binary64)))))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

4 calls:

21.0ms
c
19.0ms
a
18.0ms
b_2
17.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
61.4%4a
90.2%4b_2
58.4%3c
78.6%5(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes18.0ms (0.2%)

Counts
46 → 3
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) a) a))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c))) b_2) (*.f64 a a))
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) c))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 (*.f64 a (*.f64 a c)) #s(literal -1/2 binary64))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 (neg.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 #s(literal 0 binary64) b_2))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)))) a)
(/.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))))) a)
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))) #s(literal -2 binary64))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) 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 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 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c)))))) a)
(/.f64 (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

1 calls:

13.0ms
b_2
Results
AccuracySegmentsBranch
87.5%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) a) a))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c))) b_2) (*.f64 a a))
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) c))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 (*.f64 a (*.f64 a c)) #s(literal -1/2 binary64))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 (neg.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 #s(literal 0 binary64) b_2))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)))) a)
(/.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))))) a)
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))) #s(literal -2 binary64))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) a)
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

1 calls:

10.0ms
b_2
Results
AccuracySegmentsBranch
83.8%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 b_2 a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) a) a))) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c))) b_2) (*.f64 a a))
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 a a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) c))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a c)))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 (*.f64 (*.f64 a (*.f64 a c)) #s(literal -1/2 binary64))) (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) c))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) b_2) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 (neg.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 #s(literal 0 binary64) b_2))) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b_2) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)))) a)
(/.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))))) a)
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))) #s(literal -2 binary64))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 b_2 b_2)))))
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

1 calls:

9.0ms
b_2
Results
AccuracySegmentsBranch
67.2%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

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

3 calls:

3.0ms
c
2.0ms
b_2
2.0ms
a
Results
AccuracySegmentsBranch
34.4%1c
34.4%1a
43.0%2b_2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
42.9%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

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

3 calls:

2.0ms
a
2.0ms
c
2.0ms
b_2
Results
AccuracySegmentsBranch
34.3%1a
34.3%1c
34.3%1b_2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 b_2 a)
Outputs
(/.f64 b_2 a)
Calls

3 calls:

1.0ms
c
1.0ms
a
1.0ms
b_2
Results
AccuracySegmentsBranch
2.4%1b_2
2.4%1a
2.4%1c
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch80.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.0439653707265513
60092.510227410225
26.0ms
-1.6354800567866004e-148
-3.5311995918391446e-159
30.0ms
-1.8343447190499104e+73
-6.648232672794594e+71
Results
24.0ms280×0valid
15.0ms57×2valid
13.0ms63×1valid
6.0ms75×0invalid
Compiler

Compiled 837 to 556 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 10.0ms (29.9% of total)
ival-sub: 7.0ms (20.9% of total)
ival-sqrt: 5.0ms (14.9% of total)
ival-div: 5.0ms (14.9% of total)
backward-pass: 3.0ms (9% of total)
ival-neg: 3.0ms (9% of total)
const: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.0439653707265513
60092.510227410225
31.0ms
-4.717693759125659e-79
-1.2044632564348136e-90
Results
19.0ms228×0valid
8.0ms45×1valid
4.0ms52×0invalid
4.0ms15×2valid
Compiler

Compiled 490 to 339 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 6.0ms (30.3% of total)
ival-sub: 4.0ms (20.2% of total)
ival-div: 3.0ms (15.1% of total)
ival-sqrt: 3.0ms (15.1% of total)
ival-neg: 2.0ms (10.1% of total)
backward-pass: 1.0ms (5% of total)
const: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
8.479439899498397e-37
1.6201022684749854e-36
33.0ms
-4.717693759125659e-79
-1.2044632564348136e-90
Results
13.0ms162×0valid
8.0ms30×2valid
7.0ms32×1valid
5.0ms61×0invalid
Compiler

Compiled 358 to 267 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 5.0ms (24.8% of total)
ival-sub: 4.0ms (19.8% of total)
ival-div: 3.0ms (14.9% of total)
ival-sqrt: 3.0ms (14.9% of total)
backward-pass: 3.0ms (14.9% of total)
ival-neg: 2.0ms (9.9% of total)
const: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-1.2299556116701039e-306
1.5524461520450378e-304
Results
14.0ms144×0valid
4.0ms51×0invalid
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 (35% of total)
ival-sub: 2.0ms (23.3% of total)
ival-div: 1.0ms (11.7% of total)
ival-sqrt: 1.0ms (11.7% of total)
ival-neg: 1.0ms (11.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-276.10216836440014
-1.6125622191951568e-9
Results
13.0ms45×2valid
9.0ms51×1valid
5.0ms64×0valid
2.0ms28×0invalid
Compiler

Compiled 202 to 155 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (27.4% of total)
ival-sqrt: 4.0ms (21.9% of total)
ival-sub: 3.0ms (16.4% of total)
ival-div: 2.0ms (10.9% of total)
backward-pass: 2.0ms (10.9% of total)
ival-neg: 2.0ms (10.9% of total)
const: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-276.10216836440014
-1.6125622191951568e-9
Results
12.0ms44×2valid
8.0ms47×1valid
7.0ms69×0valid
2.0ms31×0invalid
Compiler

Compiled 202 to 155 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (27.1% of total)
ival-div: 4.0ms (21.7% of total)
ival-sqrt: 3.0ms (16.3% of total)
ival-sub: 3.0ms (16.3% of total)
backward-pass: 2.0ms (10.8% of total)
ival-neg: 2.0ms (10.8% of total)
const: 0.0ms (0% of total)

simplify40.0ms (0.3%)

Algorithm
egg-herbie
Rules
244×neg-mul-1_binary64
222×distribute-lft-neg-in_binary64
174×unsub-neg_binary64
138×neg-sub0_binary64
112×cancel-sign-sub_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058161
183161
2108161
3138161
4162160
5187160
6216160
7231160
8282160
9425160
10579160
11612160
12694160
13785160
14877160
15924160
16960160
17969160
18995160
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -1750000000000000048772741083515829694501456832215645057601172540724609024 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal -3599131035634557/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) (if (<=.f64 b_2 #s(literal 60000 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))))
(if (<=.f64 b_2 #s(literal -4199521391583383/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 60000 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -213598703592091/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4190417494555165/2993155353253689176481146537402947624255349848014848 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -5902958103587057/147573952589676412928 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4722366482869645/295147905179352825856 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 b_2 a)
Outputs
(if (<=.f64 b_2 #s(literal -1750000000000000048772741083515829694501456832215645057601172540724609024 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal -3599131035634557/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) (if (<=.f64 b_2 #s(literal 60000 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))))
(if (<=.f64 b_2 #s(literal -1750000000000000048772741083515829694501456832215645057601172540724609024 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal -3599131035634557/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (/.f64 (/.f64 (*.f64 c a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) b_2)) a) (if (<=.f64 b_2 #s(literal 60000 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))))
(if (<=.f64 b_2 #s(literal -4199521391583383/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 60000 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -4199521391583383/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 60000 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -213598703592091/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4190417494555165/2993155353253689176481146537402947624255349848014848 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -213598703592091/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 4190417494555165/2993155353253689176481146537402947624255349848014848 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -5902958103587057/147573952589676412928 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -5902958103587057/147573952589676412928 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4722366482869645/295147905179352825856 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(if (<=.f64 b_2 #s(literal -4722366482869645/295147905179352825856 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 b_2 a)

soundness1.4s (12.3%)

Rules
6284×*-lowering-*.f32
6284×*-lowering-*.f64
5216×*-lowering-*.f32
5216×*-lowering-*.f64
5032×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05282897
118442697
265792669
080822669
01035
17135
256029
0860529
012009491
143838883
086818883
0126710898
1460510072
0841310072
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 355 to 194 computations (45.4% saved)

preprocess83.0ms (0.7%)

Compiler

Compiled 550 to 188 computations (65.8% saved)

end0.0ms (0%)

Profiling

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