quad2m (problem 3.2.1, negative)

Time bar (total: 12.2s)

analyze200.0ms (1.6%)

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: 80.0ms
ival-sqrt: 21.0ms (26.3% of total)
ival-sub: 20.0ms (25% of total)
ival-mult: 19.0ms (23.8% of total)
ival-neg: 10.0ms (12.5% of total)
ival-div: 8.0ms (10% of total)
const: 1.0ms (1.3% of total)
backward-pass: 1.0ms (1.3% of total)

sample1.8s (15.1%)

Results
607.0ms1860×2valid
593.0ms5541×0valid
165.0ms855×1valid
92.0ms1095×0invalid
Precisions
Click to see histograms. Total time spent on operations: 873.0ms
ival-mult: 261.0ms (29.9% of total)
ival-sub: 149.0ms (17.1% of total)
ival-div: 139.0ms (15.9% of total)
ival-sqrt: 135.0ms (15.5% of total)
ival-neg: 100.0ms (11.5% of total)
backward-pass: 80.0ms (9.2% of total)
const: 9.0ms (1% of total)
Bogosity

preprocess177.0ms (1.5%)

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
2423106
31377106
44334106
01012
12812
25811
313311
424511
554511
6134911
7222811
8259311
9286811
10289111
11289911
0289911
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)
(/ (- (neg b_2) (sqrt (fma a c (square b_2)))) a)
(neg (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (- (neg b_2) (sqrt (fma a c (square b_2)))) 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)

explain540.0ms (4.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1040-1(8.468951386717315e-44 3.353702163689175e-305 -1.1913091321641061e-268)(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
560-0-(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
160-1(-3.612445267849595e-75 -5.413816804912524e+286 -3.593364306002557e+40)(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
30-0-(-.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
380.0ms54×1valid
60.0ms118×2valid
53.0ms340×0valid
Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 22.0ms (38.6% of total)
ival-sub: 9.0ms (15.8% of total)
ival-sqrt: 7.0ms (12.3% of total)
backward-pass: 7.0ms (12.3% of total)
ival-div: 6.0ms (10.5% of total)
ival-neg: 5.0ms (8.8% 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
53.2%
(/.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)

simplify62.0ms (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
6134941
7222841
8259341
9286841
10289141
11289941
0289941
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

localize95.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy94.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy80.1%
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy62.4%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Results
49.0ms59×2valid
23.0ms170×0valid
10.0ms27×1valid
Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
backward-pass: 27.0ms (58.2% of total)
ival-mult: 6.0ms (12.9% of total)
ival-sqrt: 4.0ms (8.6% of total)
ival-sub: 4.0ms (8.6% of total)
ival-div: 3.0ms (6.5% of total)
ival-neg: 2.0ms (4.3% of total)
const: 0.0ms (0% of total)

series19.0ms (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
1.0ms
a
@inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
c
@-inf
(sqrt (- (* b_2 b_2) (* a c)))
1.0ms
b_2
@0
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
c
@inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms
b_2
@inf
(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite217.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
2248×sum4-define
2098×sum3-define
1130×*-lowering-*.f32
1130×*-lowering-*.f64
984×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01035
14635
214631
374731
4443031
0801731
Stop Event
iter limit
node limit
Counts
4 → 366
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 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 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)))) a) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 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)))) a) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) #s(literal 1 binary64)))
(+.f64 (/.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) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(+.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(+.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (neg.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a))))
(+.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (+.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (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)))) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 0 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 -1 binary64) a) #s(literal 0 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) a)) (/.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) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) #s(literal 0 binary64)) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(+.f64 (-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)))
(-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) #s(literal 1 binary64)))
(-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))
(-.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))
(-.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 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (*.f64 b_2 a) (*.f64 a a)))
(-.f64 (/.f64 (neg.f64 (/.f64 (*.f64 b_2 a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 (*.f64 a a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 a (/.f64 (*.f64 a a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(-.f64 (/.f64 a (neg.f64 (/.f64 (*.f64 a a) b_2))) (/.f64 (neg.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)) (neg.f64 (/.f64 (*.f64 a a) b_2))))
(-.f64 (/.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a (*.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (/.f64 a (*.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a a) b_2)) (/.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2) (/.f64 (*.f64 a a) b_2)))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 (/.f64 (*.f64 a a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (/.f64 (*.f64 a a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) #s(literal 0 binary64)) (/.f64 b_2 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 b_2 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) #s(literal 1 binary64))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))
(fma.f64 b_2 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(fma.f64 b_2 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a)) (neg.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a))))
(fma.f64 b_2 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a)) (neg.f64 (/.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) #s(literal 1 binary64))))
(fma.f64 b_2 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a)) (neg.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))
(fma.f64 b_2 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a)) (neg.f64 (-.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 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) (-.f64 #s(literal 0 binary64) (/.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 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (neg.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 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 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 a (*.f64 a a)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 a (*.f64 a a)) (neg.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 a (*.f64 a a)) (neg.f64 (/.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) #s(literal 1 binary64))))
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(+.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 0 binary64))
(+.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 #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)))) (+.f64 (-.f64 #s(literal 0 binary64) b_2) b_2))
(+.f64 #s(literal 0 binary64) (-.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)))) (-.f64 #s(literal 0 binary64) b_2))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.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 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 #s(literal 0 binary64) (+.f64 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)))) b_2)
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)) (/.f64 b_2 #s(literal 1 binary64)))
(fma.f64 b_2 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b_2))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b_2))
(fma.f64 #s(literal -1 binary64) b_2 (-.f64 #s(literal 0 binary64) (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))) (-.f64 #s(literal 0 binary64) b_2))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(neg.f64 (+.f64 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)))) #s(literal 1 binary64))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(pow.f64 (-.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 #s(literal -1 binary64) (+.f64 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) (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)))) #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 #s(literal -1 binary64) (+.f64 b_2 (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))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(-.f64 #s(literal 0 binary64) (/.f64 (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)))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64))
(pow.f64 (-.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 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.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 #s(literal 1 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)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)))
(+.f64 (*.f64 b_2 b_2) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -2 binary64))))
(+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(+.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) (*.f64 b_2 b_2))
(+.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (+.f64 (*.f64 a c) (*.f64 b_2 b_2)))
(+.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 a c) #s(literal -2 binary64))) (*.f64 a c))
(exp.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) c)))
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 a c) (*.f64 b_2 b_2)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b_2) b_2))
(-.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) (*.f64 b_2 (-.f64 #s(literal 0 binary64) b_2)))
(fma.f64 b_2 b_2 (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) b_2) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(fma.f64 a #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(fma.f64 c #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(fma.f64 (*.f64 a c) #s(literal -1 binary64) (*.f64 b_2 b_2))
(fma.f64 (-.f64 #s(literal 0 binary64) c) a (*.f64 b_2 b_2))
(fma.f64 #s(literal 0 binary64) (*.f64 a c) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) c (*.f64 b_2 b_2))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 2 binary64)) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(fma.f64 #s(literal -1 binary64) (*.f64 a c) (*.f64 b_2 b_2))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b_2) b_2) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) b_2)) #s(literal -1 binary64) (*.f64 c (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))

simplify482.0ms (4%)

Algorithm
egg-herbie
Rules
5214×*-lowering-*.f32
5214×*-lowering-*.f64
2128×+-lowering-+.f64
2128×+-lowering-+.f32
1654×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05282897
118442697
265782675
080802675
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 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) (pow.f64 a #s(literal 5 binary64)))) (/.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) b_2) (/.f64 (*.f64 c (*.f64 c a)) 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) b_2) (/.f64 (*.f64 c (*.f64 c a)) 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) b_2) (/.f64 (*.f64 c (*.f64 c a)) 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 (*.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 a (*.f64 a a))))))) (+.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 (/.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 a (*.f64 a a))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 4 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))))) 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)))))
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(* (sqrt (* a c)) (sqrt -1))
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(* (sqrt (* a c)) (sqrt -1))
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b_2
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(*.f64 (+.f64 (*.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 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))) (* -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 (*.f64 a (*.f64 a (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal -1/16 binary64)) (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) (*.f64 c (*.f64 c c))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))
(* 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) (*.f64 c (*.f64 c c))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (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 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))))))
(* -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 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) (*.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 #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 (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (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)))))
(* 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 (/.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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.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 #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 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 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 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.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 (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 (+.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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #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) 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))

eval57.0ms (0.5%)

Compiler

Compiled 12936 to 1374 computations (89.4% saved)

prune84.0ms (0.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New49416510
Fresh000
Picked011
Done000
Total49417511
Accuracy
91.8%
Counts
511 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
52.4%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
11.0%
(/.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)
53.2%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.8%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
47.3%
(/.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)
30.1%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
34.6%
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
35.3%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
36.1%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
36.6%
(/.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
53.1%
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
35.8%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
36.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
53.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
36.0%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
34.9%
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
Compiler

Compiled 530 to 360 computations (32.1% saved)

simplify163.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) b_2)
cost-diff0
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
cost-diff256
(/.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2)))
cost-diff0
(/.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)
cost-diff128
(*.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))
cost-diff384
(-.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)))
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 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
cost-diff0
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
Rules
3640×*-lowering-*.f32
3640×*-lowering-*.f64
1480×sum5-define
1240×sum3-define
1092×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033243
195237
2272222
3948216
44843216
08207216
Stop Event
iter limit
node limit
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)))))
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
(/ (- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))) a)
(- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2)))
(neg b_2)
b_2
(* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))
(+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2)))
1
(/ (* -1/2 (* c a)) (* b_2 b_2))
(* -1/2 (* c a))
-1/2
(* c a)
c
a
(* b_2 b_2)
(- 0 b_2)
0
(/ (* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a))
(* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c)))))
a
(- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c))))
(- 0 b_2)
0
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
c
(* 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
#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 (/ -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)
(/ (- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))) a)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) #s(literal -1 binary64))) a)
(- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) #s(literal -1 binary64)))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) #s(literal -1 binary64))) b_2)
(+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))
1
#s(literal 1 binary64)
(/ (* -1/2 (* c a)) (* b_2 b_2))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (* c a))
(*.f64 a (*.f64 c #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(* c a)
(*.f64 a c)
c
a
(* b_2 b_2)
(*.f64 b_2 b_2)
(- 0 b_2)
(-.f64 #s(literal 0 binary64) b_2)
0
#s(literal 0 binary64)
(/ (* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a))
(* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
a
(- (- 0 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))))
(- 0 b_2)
(-.f64 #s(literal 0 binary64) b_2)
0
#s(literal 0 binary64)
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
(* a a)
(*.f64 a a)

localize494.0ms (4.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
accuracy80.1%
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy62.4%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
accuracy57.0%
(/.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
accuracy93.4%
(*.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))
accuracy84.3%
(/.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)
accuracy80.8%
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) (*.f64 b_2 b_2))
accuracy57.6%
(-.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)))
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))
accuracy99.1%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy94.4%
(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
accuracy80.1%
(+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy62.4%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Results
243.0ms94×1valid
134.0ms75×2valid
44.0ms83×0valid
8.0ms3valid
Compiler

Compiled 278 to 34 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-div: 133.0ms (61.5% of total)
ival-mult: 31.0ms (14.3% of total)
backward-pass: 26.0ms (12% of total)
ival-sub: 12.0ms (5.6% of total)
ival-sqrt: 5.0ms (2.3% of total)
ival-add: 5.0ms (2.3% of total)
ival-neg: 3.0ms (1.4% of total)
const: 1.0ms (0.5% of total)

series342.0ms (2.8%)

Counts
19 → 588
Calls
Call 1
Inputs
#<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 (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 (- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2)))>
#<alt (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))>
#<alt (/ (- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))) a)>
#<alt (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2)))>
#<alt (/ (* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a))>
#<alt (* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c)))))>
#<alt (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (- 0 b_2)>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (* c -1/2)>
#<alt (/ (* -1/2 (* c a)) (* b_2 b_2))>
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 (* 1/2 (/ a b_2))>
#<alt (* a (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* a (- (* 1/16 (/ (* a (pow c 2)) (pow b_2 5))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (* -1/16 (/ (pow c 2) (pow b_2 5))))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (* c (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (* 1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (+ (* b_2 (- (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (+ (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (* 1/2 (/ a b_2))>
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#<alt (* -1 (* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c))))))))>
#<alt (* 1/2 (/ a b_2))>
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#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) c)>
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#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (* 2 b_2)>
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#<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)>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt b_2>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (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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#<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)))))))>
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#<alt (* -1 (+ b_2 (* -1 b_2)))>
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#<alt (* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))>
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#<alt (* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))>
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#<alt (/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<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)))))))>
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#<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))))))))>
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#<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)))))>
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#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
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#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (+ (* 1/2 (* (pow a 2) c)) (* 1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6)))))) b_2))>
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#<alt (* -2 b_2)>
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#<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)>
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#<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 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -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 (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
Calls

147 calls:

TimeVariablePointExpression
167.0ms
c
@0
(- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2)))
5.0ms
b_2
@0
(/ (- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))) a)
3.0ms
c
@inf
(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
2.0ms
a
@inf
(* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c)))))
1.0ms
b_2
@0
(- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2)))

rewrite224.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
2352×*-lowering-*.f32
2352×*-lowering-*.f64
1850×fnmadd-define
1680×/-lowering-/.f32
1680×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033174
1149166
2738155
34947153
08028153
Stop Event
iter limit
node limit
Counts
19 → 899
Calls
Call 1
Inputs
(/ -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))))
(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)
(- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2)))
(* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))
(/ (- (neg b_2) (* (+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2))) (- 0 b_2))) a)
(+ 1 (/ (* -1/2 (* c a)) (* b_2 b_2)))
(/ (* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* a a))
(* a (- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c)))))
(- (- 0 b_2) (sqrt (- (* b_2 b_2) (* a c))))
(- 0 b_2)
(- (* b_2 b_2) (* a c))
(* c -1/2)
(/ (* -1/2 (* c a)) (* b_2 b_2))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 #s(literal 0 binary64) b_2))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (neg.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(+.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 #s(literal 0 binary64) (/.f64 b_2 a)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 0 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 0 binary64) (/.f64 b_2 a)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) b_2)) (/.f64 #s(literal 1 binary64) (*.f64 a a))) (*.f64 (neg.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(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 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 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)))
(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 #s(literal 0 binary64) (/.f64 b_2 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 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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (-.f64 #s(literal 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 #s(literal 0 binary64) (/.f64 b_2 a)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) 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) b_2 (neg.f64 (/.f64 (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 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (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 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 a (/.f64 (*.f64 a a) (-.f64 (-.f64 #s(literal 0 binary64) 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 #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 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a a))
(/.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #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 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 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 a b_2) (neg.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 #s(literal 0 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 0 binary64) a)) (/.f64 (*.f64 a 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) a) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a) (*.f64 a (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #s(literal 1 binary64)) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (*.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64)) a)
(/.f64 (/.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 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))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(*.f64 a (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal -1 binary64) a))
(*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a a)))
(*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(*.f64 #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)))
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(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) b_2))
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 a b_2) (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))))
(*.f64 (/.f64 c b_2) (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))))
(*.f64 (/.f64 c b_2) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 c b_2))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) b_2) b_2) (*.f64 a (*.f64 c #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2))
(*.f64 (/.f64 a (*.f64 b_2 b_2)) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (*.f64 a c))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b_2)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) b_2) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 (*.f64 c (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 c b_2))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) b_2) b_2))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (/.f64 c b_2))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b_2) b_2) c) (/.f64 a #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b_2) b_2) (*.f64 c #s(literal -1/2 binary64))) a)
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b_2) b_2) (/.f64 a #s(literal -2 binary64))) c)
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 (*.f64 a c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) c)) a)

simplify341.0ms (2.8%)

Algorithm
egg-herbie
Rules
6208×*-lowering-*.f32
6208×*-lowering-*.f64
4052×+-lowering-+.f64
4052×+-lowering-+.f32
1232×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010478985
138088261
084868261
Stop Event
iter limit
node limit
Counts
588 → 588
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)))))
(* 1/2 (/ a b_2))
(* a (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* a (+ (* a (- (* 1/16 (/ (* a (pow c 2)) (pow b_2 5))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (* -1/16 (/ (pow c 2) (pow b_2 5))))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (* c (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (* 1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* 1/2 (/ a b_2))
(/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2)
(/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)
(* 2 (/ b_2 c))
(* -1 (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))))
(* -1 (* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c))))))))
(* 1/2 (/ a b_2))
(+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))
(+ (* 1/2 (/ a b_2)) (* 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 (- (* -1 (* c (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7)))))) (* -1/16 (/ (pow a 3) (pow b_2 5))))) (* -1/8 (/ (pow a 2) (pow b_2 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) c)
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) c) a))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* (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 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1 (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(* -1/2 (/ (* a c) b_2))
(* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))
(* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))
(* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))
(* -1/2 (/ (* a c) b_2))
(* -1 (* c (- (+ (* -1 (/ b_2 c)) (/ b_2 c)) (* -1/2 (/ a b_2)))))
(* -1 (* c (- (+ (* -1 (/ b_2 c)) (/ b_2 c)) (* -1/2 (/ a b_2)))))
(* -1 (* c (- (+ (* -1 (/ b_2 c)) (/ b_2 c)) (* -1/2 (/ a b_2)))))
(* -1 (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(* -1/2 (/ (* a c) b_2))
(* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))
(* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))
(* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))
(* -1/2 (/ (* a c) b_2))
(* -1 (* a (- (+ (* -1 (/ b_2 a)) (/ b_2 a)) (* -1/2 (/ c b_2)))))
(* -1 (* a (- (+ (* -1 (/ b_2 a)) (/ b_2 a)) (* -1/2 (/ c b_2)))))
(* -1 (* a (- (+ (* -1 (/ b_2 a)) (/ b_2 a)) (* -1/2 (/ c b_2)))))
(* -1 b_2)
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
(* -1 b_2)
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
(* 1/2 (/ (* a c) b_2))
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(* -1 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))
(* -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 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 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 (/ (+ b_2 (* -1 b_2)) a))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(* -1/2 (/ c b_2))
(* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))
(* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))
(* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))
(* -1/2 (/ c b_2))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))
(* -1 (/ (+ b_2 (* -1 b_2)) a))
(/ (+ (* -1 (+ b_2 (* -1 b_2))) (* -1/2 (/ (* a c) b_2))) a)
(/ (+ (* -1 (+ b_2 (* -1 b_2))) (* -1/2 (/ (* a c) b_2))) a)
(/ (+ (* -1 (+ b_2 (* -1 b_2))) (* -1/2 (/ (* a c) b_2))) a)
(* -1/2 (/ c b_2))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(* -1/2 (/ c b_2))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 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)))
(* -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)))))
(* -2 (* a 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)))))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -1)))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* -1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))))
(* -2 (* a b_2))
(* b_2 (+ (* -2 a) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))
(* b_2 (+ (* -2 a) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2))))))
(* b_2 (+ (* -2 a) (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* (pow a 2) c) (pow b_2 2)))))))
(* -1/2 (/ (* (pow a 2) c) b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* 1/2 (* (pow a 2) c)))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (+ (* 1/2 (* (pow a 2) c)) (* 1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6)))))) b_2))
(* -2 (* a b_2))
(+ (* -2 (* a b_2)) (* 1/2 (/ (* (pow a 2) c) b_2)))
(+ (* -2 (* a b_2)) (* c (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 3))) (* 1/2 (/ (pow a 2) b_2)))))
(+ (* -2 (* a b_2)) (* c (+ (* 1/2 (/ (pow a 2) b_2)) (* c (+ (* 1/16 (/ (* (pow a 4) c) (pow b_2 5))) (* 1/8 (/ (pow a 3) (pow b_2 3))))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1 (/ (* a b_2) c)) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a 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)))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 (* 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)
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
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 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2) (*.f64 #s(literal -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 a (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -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 a (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) 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))))))) (*.f64 #s(literal -2 binary64) b_2)) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.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))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(-.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(-.f64 (+.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 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 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ 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 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (-.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 (/.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 (*.f64 #s(literal -2 binary64) b_2) a)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) 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 #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 #s(literal 1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) c)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a 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))
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(+.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 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.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 #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 #s(literal 1 binary64) (+.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 c c) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
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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)))))))
(*.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 -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 #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 c c) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.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 (*.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 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 (/.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 (/.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 (/.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)))) (+ (* 1/16 (* (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 (/.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 (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 #s(literal 1/2 binary64) (*.f64 (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 #s(literal 0 binary64) (*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (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))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.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 #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 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 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 (* 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 #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 #s(literal -1/2 binary64) a) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (+.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 #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 #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)))) (+ (* 1/16 (* (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 (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)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.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 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))) (-.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 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))) (+.f64 (*.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 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) (-.f64 #s(literal 0 binary64) c))
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(* 1/2 (/ c b_2))
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(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b_2 b_2) c)) a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(-.f64 #s(literal 0 binary64) (*.f64 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 #s(literal 0 binary64) (*.f64 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))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))

eval209.0ms (1.7%)

Compiler

Compiled 35276 to 4160 computations (88.2% saved)

prune223.0ms (1.8%)

Pruning

39 alts after pruning (37 fresh and 2 done)

PrunedKeptTotal
New1708311739
Fresh5611
Picked415
Done011
Total1717391756
Accuracy
91.8%
Counts
1756 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.2%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))) a) b_2)
26.4%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
36.1%
(/.f64 (/.f64 b_2 a) #s(literal -1/2 binary64))
22.4%
(/.f64 (-.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c)))
11.3%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) b_2) a)
13.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) a)))
52.4%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
11.3%
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
53.2%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.8%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
47.3%
(/.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)
34.6%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
10.6%
(/.f64 (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) a)
10.6%
(/.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))))) (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))))) a)
22.4%
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b_2) (*.f64 a a))
27.8%
(/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) a)
35.3%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
16.9%
(/.f64 (*.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) (*.f64 a a))
23.0%
(/.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))) (*.f64 a a))
10.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
19.5%
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) b_2)) a)
17.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) c) #s(literal -1/2 binary64)) a)))
11.0%
(/.f64 #s(literal 0 binary64) a)
35.0%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
26.2%
(/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)))
34.5%
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
31.8%
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
35.0%
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
27.1%
(/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) #s(literal -1 binary64))))
35.8%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
18.1%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c)) #s(literal -1 binary64))))
8.2%
(+.f64 (/.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
12.2%
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
36.2%
(*.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))))))
53.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
35.2%
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1/2 binary64) b_2)))
36.0%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
34.9%
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
16.0%
(*.f64 b_2 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
Compiler

Compiled 1522 to 934 computations (38.6% saved)

simplify175.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 c a))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
cost-diff0
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))
cost-diff0
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) b_2) a)
cost-diff256
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))))
cost-diff256
(-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) b_2)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
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 #s(literal -1/2 binary64) b_2) c))
cost-diff128
(/.f64 #s(literal 0 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
2108×fma-lowering-fma.f32
2108×fma-lowering-fma.f64
1880×fmm-def
1816×*-lowering-*.f32
1816×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035200
1103193
2237185
3689172
42205172
56195172
08012172
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
(/ 0 a)
0
a
(- (* b_2 (/ -2 a)) (* (/ -1/2 b_2) c))
(* b_2 (/ -2 a))
b_2
(/ -2 a)
-2
a
(* (/ -1/2 b_2) c)
(/ -1/2 b_2)
-1/2
c
(/ (- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2) a)
(- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2)
(* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))))
b_2
(+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))
1
(/ a (* (/ (/ b_2 -1/2) c) b_2))
a
(* (/ (/ b_2 -1/2) c) b_2)
(/ (/ b_2 -1/2) c)
(/ b_2 -1/2)
-1/2
c
(/ (- (neg b_2) (sqrt (- 0 (* c a)))) a)
(- (neg b_2) (sqrt (- 0 (* c a))))
(neg b_2)
b_2
(sqrt (- 0 (* c a)))
(- 0 (* c a))
0
(* c a)
c
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
(/ 0 a)
#s(literal 0 binary64)
0
#s(literal 0 binary64)
a
(- (* b_2 (/ -2 a)) (* (/ -1/2 b_2) c))
(+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 c #s(literal 2 binary64)) b_2))
(* b_2 (/ -2 a))
(/.f64 b_2 (/.f64 a #s(literal -2 binary64)))
b_2
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
-2
#s(literal -2 binary64)
a
(* (/ -1/2 b_2) c)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/ -1/2 b_2)
(/.f64 #s(literal -1/2 binary64) b_2)
-1/2
#s(literal -1/2 binary64)
c
(/ (- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2) a)
(/.f64 (*.f64 c (/.f64 (/.f64 a b_2) #s(literal -2 binary64))) a)
(- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2)
(*.f64 c (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))))
(+.f64 b_2 (*.f64 c (/.f64 (/.f64 a b_2) #s(literal -2 binary64))))
b_2
(+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 (/.f64 a b_2) #s(literal -2 binary64))) b_2))
1
#s(literal 1 binary64)
(/ a (* (/ (/ b_2 -1/2) c) b_2))
(/.f64 (*.f64 c (/.f64 (/.f64 a b_2) #s(literal -2 binary64))) b_2)
a
(* (/ (/ b_2 -1/2) c) b_2)
(*.f64 b_2 (/.f64 b_2 (/.f64 c #s(literal -2 binary64))))
(/ (/ b_2 -1/2) c)
(/.f64 b_2 (/.f64 c #s(literal -2 binary64)))
(/ b_2 -1/2)
(/.f64 b_2 #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
c
(/ (- (neg b_2) (sqrt (- 0 (* c a)))) a)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a))
(- (neg b_2) (sqrt (- 0 (* c a))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(sqrt (- 0 (* c a)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(- 0 (* c a))
(-.f64 #s(literal 0 binary64) (*.f64 a c))
0
#s(literal 0 binary64)
(* c a)
(*.f64 a c)
c
a

localize234.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 b_2)
accuracy100.0%
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))
accuracy99.9%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) a)
accuracy81.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
accuracy93.4%
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))))
accuracy92.7%
(/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))
accuracy89.2%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) b_2) a)
accuracy78.9%
(-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) b_2)
accuracy100.0%
(/.f64 #s(literal -2 binary64) a)
accuracy100.0%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
accuracy99.8%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy99.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
accuracy100.0%
(/.f64 #s(literal 0 binary64) a)
accuracy100.0%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy97.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
accuracy89.8%
(+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy77.3%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Results
57.0ms40×2valid
52.0ms47×1valid
41.0ms86×0invalid
39.0ms83×0valid
Compiler

Compiled 218 to 36 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 25.0ms (30.9% of total)
ival-mult: 19.0ms (23.5% of total)
backward-pass: 14.0ms (17.3% of total)
ival-sub: 9.0ms (11.1% of total)
ival-sqrt: 6.0ms (7.4% of total)
ival-add: 4.0ms (4.9% of total)
ival-neg: 4.0ms (4.9% of total)
const: 1.0ms (1.2% of total)

series26.0ms (0.2%)

Counts
20 → 576
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 (/ 0 a)>
#<alt (- (* b_2 (/ -2 a)) (* (/ -1/2 b_2) c))>
#<alt (* b_2 (/ -2 a))>
#<alt (/ -2 a)>
#<alt (* (/ -1/2 b_2) c)>
#<alt (- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2)>
#<alt (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))))>
#<alt (/ (- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2) a)>
#<alt (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))>
#<alt (/ (- (neg b_2) (sqrt (- 0 (* c a)))) a)>
#<alt (- (neg b_2) (sqrt (- 0 (* c a))))>
#<alt (sqrt (- 0 (* c a)))>
#<alt (- 0 (* c a))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (/ a (* (/ (/ b_2 -1/2) c) b_2))>
#<alt (neg b_2)>
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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)>
#<alt (/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)>
#<alt (/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
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#<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 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
Calls

144 calls:

TimeVariablePointExpression
6.0ms
c
@inf
(- 0 (* c a))
1.0ms
c
@0
(/ (- (neg b_2) (sqrt (- 0 (* c a)))) a)
1.0ms
a
@0
(/ (- (neg b_2) (sqrt (- 0 (* c a)))) a)
1.0ms
b_2
@0
(/ (- (neg b_2) (sqrt (- 0 (* c a)))) a)
1.0ms
a
@-inf
(/ (- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2) a)

rewrite239.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
2204×*-lowering-*.f32
2204×*-lowering-*.f64
1914×/-lowering-/.f32
1914×/-lowering-/.f64
1676×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035154
1165148
2715140
35148136
08531136
Stop Event
iter limit
node limit
Counts
20 → 785
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)))
(/ 0 a)
(- (* b_2 (/ -2 a)) (* (/ -1/2 b_2) c))
(* b_2 (/ -2 a))
(/ -2 a)
(* (/ -1/2 b_2) c)
(- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2)
(* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))))
(/ (- (* b_2 (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))) b_2) a)
(+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))
(/ (- (neg b_2) (sqrt (- 0 (* c a)))) a)
(- (neg b_2) (sqrt (- 0 (* c a))))
(sqrt (- 0 (* c a)))
(- 0 (* c a))
(- (* b_2 b_2) (* a c))
(/ a (* (/ (/ b_2 -1/2) c) b_2))
(neg b_2)
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (/.f64 b_2 a))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) #s(literal 0 binary64)) (/.f64 b_2 a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 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 #s(literal 0 binary64) (/.f64 b_2 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 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (-.f64 #s(literal 0 binary64) 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 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b_2 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 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 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 #s(literal 0 binary64) (/.f64 b_2 a)))
(neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (+.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 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a b_2)) (*.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) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 a b_2) (*.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (+.f64 (-.f64 #s(literal 0 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)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 a (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (neg.f64 (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 (-.f64 #s(literal 0 binary64) b_2) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (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 b_2)) (*.f64 a (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (*.f64 a a))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal -1 binary64) (*.f64 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 (-.f64 #s(literal 0 binary64) b_2))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a (-.f64 #s(literal 0 binary64) b_2))) a) (*.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a b_2)) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (*.f64 #s(literal -1 binary64) (*.f64 a b_2))) (*.f64 a a))
(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64)) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1 binary64)) a)
(pow.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.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 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal -1 binary64) a))
(*.f64 #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 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(literal -1 binary64))
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) a))
(neg.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) a)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(+.f64 b_2 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(fma.f64 b_2 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(fma.f64 #s(literal 1 binary64) b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.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)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(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 (exp.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1/2 binary64))
(*.f64 (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))))
#s(literal 0 binary64)
(+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))
(+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))) (/.f64 (/.f64 c b_2) #s(literal 2 binary64))))
(+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (neg.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))) (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))
(+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (+.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))) (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(+.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))
(+.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))
(+.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) b_2) (*.f64 c #s(literal -1/2 binary64))) (/.f64 (/.f64 c b_2) #s(literal 2 binary64))))
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(fma.f64 #s(literal 1 binary64) b_2 (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) b_2 (-.f64 #s(literal 0 binary64) b_2))
(fma.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b_2))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) #s(literal 1 binary64)) b_2 (-.f64 #s(literal 0 binary64) b_2))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))))
(*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))
(*.f64 b_2 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(*.f64 b_2 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))))
(*.f64 b_2 (*.f64 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))))
(*.f64 (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)) b_2)
(+.f64 b_2 (/.f64 b_2 (/.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
(+.f64 b_2 (+.f64 (/.f64 b_2 (/.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))))
(+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) #s(literal 0 binary64))
(+.f64 (/.f64 b_2 (/.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))) b_2)
(+.f64 (/.f64 b_2 (/.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))) (+.f64 b_2 #s(literal 0 binary64)))
(-.f64 b_2 (*.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) b_2))
(-.f64 b_2 (*.f64 b_2 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal 2 binary64))))))
(-.f64 b_2 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a b_2)) (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))
(-.f64 (/.f64 b_2 (/.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))) (-.f64 #s(literal 0 binary64) b_2))
(fma.f64 a (/.f64 b_2 (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) b_2)
(fma.f64 b_2 #s(literal 1 binary64) (/.f64 b_2 (/.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
(fma.f64 b_2 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) b_2)
(fma.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b_2 (/.f64 b_2 (/.f64 b_2 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
(fma.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) b_2 b_2)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) b_2 #s(literal 0 binary64))
(fma.f64 (*.f64 a b_2) (/.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) b_2) b_2)
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(*.f64 b_2 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))))
(*.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) b_2)
(*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) #s(literal 1 binary64)) b_2)
(+.f64 (*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(+.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (/.f64 b_2 a) (*.f64 (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (/.f64 b_2 a))
(-.f64 (/.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a a)) (/.f64 (*.f64 a b_2) (*.f64 a a)))
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) #s(literal 0 binary64)) (/.f64 b_2 a))
(fma.f64 b_2 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 b_2 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) a)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 b_2 a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 b_2 a) (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) a) b_2 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a b_2))))
(/.f64 (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))) a)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) b_2)) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b_2))) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (/.f64 a (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (+.f64 a (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (-.f64 #s(literal 0 binary64) b_2))) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) a))
(/.f64 (+.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 a b_2)) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (/.f64 a (-.f64 #s(literal 0 binary64) b_2))) a) (*.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal -1 binary64) (*.f64 a b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (/.f64 a (-.f64 #s(literal 0 binary64) b_2))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a (-.f64 #s(literal 0 binary64) b_2))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) a) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (-.f64 a (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) b_2)) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b_2)) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (/.f64 a b_2)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (-.f64 #s(literal 0 binary64) b_2))) (*.f64 (/.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (/.f64 a b_2)) a) (*.f64 a (/.f64 a b_2)))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal -1 binary64) (*.f64 a b_2))) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) a) (*.f64 #s(literal -1 binary64) (*.f64 a b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (/.f64 a b_2)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b_2)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a b_2))) (neg.f64 (*.f64 a a)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))) #s(literal -1 binary64)) a)
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) a))
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(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))
(*.f64 (/.f64 a b_2) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 a (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) b_2) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2) (*.f64 a c))
(*.f64 (/.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) b_2) c)
(*.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) b_2)))
(*.f64 (/.f64 (/.f64 a b_2) b_2) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 a b_2) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) #s(literal 1 binary64)) (/.f64 c b_2))
(*.f64 (/.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) b_2) (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) b_2)) c)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2))) (-.f64 #s(literal 0 binary64) c))
(*.f64 (/.f64 (/.f64 a b_2) (/.f64 b_2 #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) c))
(*.f64 (/.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 a (*.f64 b_2 b_2)) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 a (/.f64 b_2 (/.f64 #s(literal 1/2 binary64) b_2))) (-.f64 #s(literal 0 binary64) c))
(*.f64 (/.f64 (/.f64 a b_2) (-.f64 #s(literal 0 binary64) b_2)) (*.f64 c #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 a b_2) (/.f64 b_2 c)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 a b_2) (/.f64 b_2 (-.f64 #s(literal 0 binary64) c))) #s(literal 1/2 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b_2))
(+.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) b_2)
(neg.f64 b_2)
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1 binary64))

simplify285.0ms (2.3%)

Algorithm
egg-herbie
Rules
5556×*-lowering-*.f32
5556×*-lowering-*.f64
2470×+-lowering-+.f64
2470×+-lowering-+.f32
1584×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05646177
119325776
270995751
080045751
Stop Event
iter limit
node limit
Counts
576 → 576
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)))))))
0
0
0
0
0
0
0
0
0
0
0
0
(* 1/2 (/ c b_2))
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(* 1/2 (/ c b_2))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ c b_2))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(/ -2 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))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) b_2)
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) b_2)
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) b_2)
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
b_2
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)))
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)))
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(* a (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(* a (+ (* -1/2 (/ c b_2)) (/ b_2 a)))
(* -1/2 (/ (* a c) b_2))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2)))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1/2 (/ a b_2)) (/ b_2 c)))
(* -1/2 (/ (* a c) b_2))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(* -1 (/ 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)))
(* -1 (/ 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))))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -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)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* (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))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* 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))
(- (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 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
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 a (*.f64 #s(literal 1/2 binary64) (/.f64 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 1/2 binary64) (/.f64 c b_2)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2)))))) 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 #s(literal 1/2 binary64) (/.f64 c 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)))))))) 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 #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))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(-.f64 (-.f64 (*.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 a (*.f64 a (*.f64 a c))))))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(+.f64 (-.f64 (-.f64 (*.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 a (*.f64 a (*.f64 a c))))))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) 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))))
(* (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 #s(literal -1/2 binary64) (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))) 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)))
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(*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) 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 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(+ (* 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 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 a (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))) c)))))
(+ (* 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 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a c))) #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 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 b_2 c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(* -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 #s(literal 0 binary64) (*.f64 c (-.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 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))) 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))))) 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 (*.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 a c))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.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 (*.f64 a c)))) (*.f64 c c))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (*.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))) (*.f64 c c))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 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 5 binary64)))) (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.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 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 a c)))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.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 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 a (*.f64 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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.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 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 a c)))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.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 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(+ 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 a (*.f64 (*.f64 c c) #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 b_2) #s(literal -1/2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) #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 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 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.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 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) 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 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) 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 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.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 #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 a c)))
(* -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 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))))) (-.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 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) 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 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 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) 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 (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 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(+ 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 #s(literal -1/8 binary64) (*.f64 (*.f64 a (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))) c)))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a c))) #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 a c)))
(* 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 #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))))
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(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)

eval157.0ms (1.3%)

Compiler

Compiled 23430 to 2756 computations (88.2% saved)

prune168.0ms (1.4%)

Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New1345161361
Fresh92332
Picked415
Done022
Total1358421400
Accuracy
100.0%
Counts
1400 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.2%
(/.f64 (/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) a) b_2)
26.4%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
36.1%
(/.f64 (/.f64 b_2 a) #s(literal -1/2 binary64))
22.4%
(/.f64 (-.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c)))
13.2%
(/.f64 (-.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (/.f64 a b_2)) a) (*.f64 a (/.f64 a b_2)))
13.7%
(/.f64 (-.f64 (*.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) b_2) a)
11.3%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 a b_2)))) b_2) a)
14.4%
(/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) b_2) a)
52.4%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
21.1%
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))) a)
17.7%
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))) a)
53.2%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.8%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
30.2%
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)))))) a)
35.6%
(/.f64 (-.f64 b_2 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) b_2))
34.6%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
10.6%
(/.f64 (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) a)
10.6%
(/.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))))) (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))))) a)
22.4%
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b_2) (*.f64 a a))
27.8%
(/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) a)
35.3%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
16.9%
(/.f64 (*.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) (*.f64 a a))
23.0%
(/.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))) (*.f64 a a))
10.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
5.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a b_2))))
35.0%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
26.2%
(/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)))
34.5%
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
31.8%
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
35.0%
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
5.9%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (/.f64 b_2 a))
35.8%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
12.2%
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
19.5%
(*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))
36.2%
(*.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))))))
31.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
29.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
35.2%
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1/2 binary64) b_2)))
36.0%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
34.9%
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
16.0%
(*.f64 b_2 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
11.0%
#s(literal 0 binary64)
Compiler

Compiled 1548 to 946 computations (38.9% saved)

simplify130.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff256
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)))))
cost-diff384
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))
cost-diff640
(*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
cost-diff1152
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a)))
cost-diff0
(/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff0
(-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) a) b_2)
cost-diff128
(/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) a)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
cost-diff0
(*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff0
(/.f64 #s(literal -1 binary64) a)
cost-diff384
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
cost-diff0
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
cost-diff128
(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))))
Rules
3244×*-lowering-*.f32
3244×*-lowering-*.f64
2000×sum4-define
1642×fnmadd-define
1210×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045311
1138295
2484281
32658254
09043254
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))) a)
(- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2)))
(neg b_2)
b_2
(/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))
1
(pow (- (* b_2 b_2) (* a c)) -1/2)
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c
-1/2
0
(* (/ -1 a) (* a (* 1/2 (/ c b_2))))
(/ -1 a)
-1
a
(* a (* 1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
1/2
(/ c b_2)
c
b_2
(/ (/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a) b_2)
(/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a)
(- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2))
(/ b_2 (/ -1/2 b_2))
b_2
(/ -1/2 b_2)
-1/2
(* (* a c) -1/2)
(* a c)
a
c
(+ (* (+ (/ (* a (* c 1/2)) (* b_2 b_2)) 0) (- 0 (/ b_2 a))) (- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a))))
(* (+ (/ (* a (* c 1/2)) (* b_2 b_2)) 0) (- 0 (/ b_2 a)))
(+ (/ (* a (* c 1/2)) (* b_2 b_2)) 0)
(/ (* a (* c 1/2)) (* b_2 b_2))
(* a (* c 1/2))
a
(* c 1/2)
c
1/2
(* b_2 b_2)
b_2
0
(- 0 (/ b_2 a))
(/ b_2 a)
(- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a)))
(* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2)))))
(/ -1 a)
-1
(* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))
(+ -1 (/ (* a (* c 1/2)) (* b_2 b_2)))
(* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a))
(+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))
1
(/ a (* (/ (/ b_2 -1/2) c) b_2))
(* (/ (/ b_2 -1/2) c) b_2)
(/ (/ b_2 -1/2) c)
(/ b_2 -1/2)
-1/2
Outputs
(/ (- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))) a)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) b_2) a)
(- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2)))
(-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) b_2)
(neg b_2)
(-.f64 #s(literal 0 binary64) b_2)
b_2
(/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(pow (- (* b_2 b_2) (* a c)) -1/2)
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 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)
0
#s(literal 0 binary64)
(* (/ -1 a) (* a (* 1/2 (/ c b_2))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(* a (* 1/2 (/ c b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2))
(* 1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
1/2
#s(literal 1/2 binary64)
(/ c b_2)
(/.f64 c b_2)
c
b_2
(/ (/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a) b_2)
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a)
(+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 b_2 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)))
(- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2))
(+.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 a (*.f64 c #s(literal 1/2 binary64))))
(/ b_2 (/ -1/2 b_2))
(/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2))
b_2
(/ -1/2 b_2)
(/.f64 #s(literal -1/2 binary64) b_2)
-1/2
#s(literal -1/2 binary64)
(* (* a c) -1/2)
(*.f64 a (*.f64 c #s(literal -1/2 binary64)))
(* a c)
(*.f64 a c)
a
c
(+ (* (+ (/ (* a (* c 1/2)) (* b_2 b_2)) 0) (- 0 (/ b_2 a))) (- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* (+ (/ (* a (* c 1/2)) (* b_2 b_2)) 0) (- 0 (/ b_2 a)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(+ (/ (* a (* c 1/2)) (* b_2 b_2)) 0)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) b_2)
(/ (* a (* c 1/2)) (* b_2 b_2))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) b_2)
(* a (* c 1/2))
(*.f64 a (*.f64 c #s(literal 1/2 binary64)))
a
(* c 1/2)
(*.f64 c #s(literal 1/2 binary64))
c
1/2
#s(literal 1/2 binary64)
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
0
#s(literal 0 binary64)
(- 0 (/ b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a))
(/ b_2 a)
(/.f64 b_2 a)
(- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a)))
#s(literal 0 binary64)
(* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2)))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 a))
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
(* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) b_2)
(+ -1 (/ (* a (* c 1/2)) (* b_2 b_2)))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b_2)) b_2))
(* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 a))
(+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2)))
(+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
1
#s(literal 1 binary64)
(/ a (* (/ (/ b_2 -1/2) c) b_2))
(/.f64 a (/.f64 b_2 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(* (/ (/ b_2 -1/2) c) b_2)
(/.f64 b_2 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/ (/ b_2 -1/2) c)
(/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))
(/ b_2 -1/2)
(/.f64 b_2 #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize672.0ms (5.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy86.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))
accuracy80.7%
(/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))
accuracy78.1%
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a)))
accuracy62.2%
(*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
accuracy99.8%
(/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2))
accuracy98.8%
(-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64)))
accuracy84.9%
(/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) a)
accuracy83.4%
(/.f64 (/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) a) b_2)
accuracy100.0%
(/.f64 #s(literal -1 binary64) a)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy92.5%
(*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy84.3%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
accuracy99.1%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy94.3%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
accuracy80.1%
(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))))
accuracy62.4%
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))
Results
335.0ms160×2valid
194.0ms58×3valid
49.0ms38×1valid
Compiler

Compiled 410 to 46 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 284.0ms
ival-mult: 74.0ms (26.1% of total)
ival-div: 72.0ms (25.4% of total)
backward-pass: 60.0ms (21.1% of total)
ival-pow: 34.0ms (12% of total)
ival-sub: 19.0ms (6.7% of total)
ival-add: 18.0ms (6.3% of total)
ival-neg: 4.0ms (1.4% of total)
const: 2.0ms (0.7% of total)

series63.0ms (0.5%)

Counts
18 → 588
Calls
Call 1
Inputs
#<alt (- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2)))>
#<alt (/ (- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))) a)>
#<alt (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))>
#<alt (pow (- (* b_2 b_2) (* a c)) -1/2)>
#<alt (* (/ -1 a) (* a (* 1/2 (/ c b_2))))>
#<alt (/ -1 a)>
#<alt (* a (* 1/2 (/ c b_2)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a)>
#<alt (/ (/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a) b_2)>
#<alt (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2))>
#<alt (/ b_2 (/ -1/2 b_2))>
#<alt (- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a)))>
#<alt (* (+ (/ (* a (* c 1/2)) (* b_2 b_2)) 0) (- 0 (/ b_2 a)))>
#<alt (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a))>
#<alt (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2)))))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (/ (* a (* c 1/2)) (* b_2 b_2))>
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))))))>
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#<alt (* c (- (* -2 (/ (pow b_2 2) c)) (* -1/2 a)))>
#<alt (* c (- (* -2 (/ (pow b_2 2) c)) (* -1/2 a)))>
#<alt (* c (- (* -2 (/ (pow b_2 2) c)) (* -1/2 a)))>
#<alt (* 1/2 (* a c))>
#<alt (* -1 (* c (- (* 2 (/ (pow b_2 2) c)) (* 1/2 a))))>
#<alt (* -1 (* c (- (* 2 (/ (pow b_2 2) c)) (* 1/2 a))))>
#<alt (* -1 (* c (- (* 2 (/ (pow b_2 2) c)) (* 1/2 a))))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt (* -2 (pow b_2 2))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ b_2 a)>
#<alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)>
#<alt (/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)>
#<alt (/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)>
#<alt (/ b_2 a)>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (/ b_2 a)>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (/ b_2 a)>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (/ b_2 a)>
#<alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)>
#<alt (/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)>
#<alt (/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)>
#<alt (/ b_2 a)>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (/ b_2 a)>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))>
#<alt (/ b_2 a)>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<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 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* 1/2 (/ (* a c) (pow b_2 2)))>
Calls

147 calls:

TimeVariablePointExpression
13.0ms
a
@inf
(- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a)))
5.0ms
c
@inf
(- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a)))
3.0ms
c
@inf
(/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a)
3.0ms
b_2
@0
(- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a)))
2.0ms
a
@0
(- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a)))

rewrite304.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
4730×*-lowering-*.f32
4730×*-lowering-*.f64
2132×/-lowering-/.f32
2132×/-lowering-/.f64
900×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044196
1217178
21263136
09252136
Stop Event
iter limit
node limit
Counts
18 → 1663
Calls
Call 1
Inputs
(- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2)))
(/ (- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))) a)
(/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))
(pow (- (* b_2 b_2) (* a c)) -1/2)
(* (/ -1 a) (* a (* 1/2 (/ c b_2))))
(/ -1 a)
(* a (* 1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a)
(/ (/ (- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2)) a) b_2)
(- (/ b_2 (/ -1/2 b_2)) (* (* a c) -1/2))
(/ b_2 (/ -1/2 b_2))
(- (* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2))))) (* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a)))
(* (+ (/ (* a (* c 1/2)) (* b_2 b_2)) 0) (- 0 (/ b_2 a)))
(* (+ 1 (/ a (* (/ (/ b_2 -1/2) c) b_2))) (/ b_2 a))
(* (/ -1 a) (* b_2 (+ -1 (/ (* a (* c 1/2)) (* b_2 b_2)))))
(- (* b_2 b_2) (* a c))
(/ (* a (* c 1/2)) (* b_2 b_2))
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (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)))) (+.f64 (/.f64 #s(literal -1 binary64) (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)))) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal -1 binary64) (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 #s(literal 0 binary64) (-.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) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (/.f64 #s(literal -1 binary64) (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 (fma.f64 b_2 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) b_2 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) b_2)
(-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) #s(literal 0 binary64)) b_2)
(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 0 binary64)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(fma.f64 b_2 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(fma.f64 #s(literal -1 binary64) b_2 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b_2))
(neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(neg.f64 (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #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 (-.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) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal -1 binary64) (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))))))
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(fma.f64 b_2 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (-.f64 #s(literal 0 binary64) a)) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)))
(fma.f64 b_2 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (-.f64 #s(literal 0 binary64) a)) (+.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(fma.f64 b_2 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (-.f64 #s(literal 0 binary64) a)) (neg.f64 (+.f64 (/.f64 b_2 a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (+.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (neg.f64 (+.f64 (/.f64 b_2 a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (+.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (neg.f64 (+.f64 (/.f64 b_2 a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))))
(fma.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (/.f64 #s(literal -1 binary64) a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)))
(fma.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (/.f64 #s(literal -1 binary64) a) (+.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(fma.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (/.f64 #s(literal -1 binary64) a) (neg.f64 (+.f64 (/.f64 b_2 a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))))
(fma.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2)) (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))
(fma.f64 (/.f64 b_2 a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2)) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (+.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (neg.f64 (+.f64 (/.f64 b_2 a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (/.f64 b_2 a) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (+.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (neg.f64 (+.f64 (/.f64 b_2 a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))))
(fma.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)))
(fma.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (/.f64 #s(literal 1 binary64) a) (+.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(fma.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (+.f64 (/.f64 b_2 a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) b_2 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) b_2 (+.f64 (-.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) b_2 (neg.f64 (+.f64 (/.f64 b_2 a) (-.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) a) (*.f64 a (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))))))
(/.f64 (-.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) a) (*.f64 a (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) a) (*.f64 a (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) a) (*.f64 a (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (+.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) a)
(/.f64 (-.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) a))
(/.f64 (+.f64 (/.f64 a b_2) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) (/.f64 a b_2)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (/.f64 a b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b_2)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) a) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (+.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (/.f64 a b_2)) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)))) (*.f64 a (/.f64 a b_2)))
(/.f64 (+.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (-.f64 #s(literal 0 binary64) a)) (*.f64 a (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 a b_2) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) (*.f64 (/.f64 a b_2) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) a) (*.f64 (/.f64 a b_2) (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))) (*.f64 (/.f64 a b_2) a))
(/.f64 (+.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) a) (*.f64 a (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) (*.f64 a a))
(/.f64 (+.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) a) (*.f64 a (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) (*.f64 a (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (/.f64 a b_2)) (*.f64 (/.f64 a b_2) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2)))) (*.f64 (/.f64 a b_2) (/.f64 a b_2)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) a) (*.f64 a (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) (/.f64 a b_2)) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2)))) (*.f64 a (/.f64 a b_2)))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) a) (*.f64 a (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))) (*.f64 a a))
(/.f64 (+.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (/.f64 a b_2)) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b_2)))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (*.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))
(/.f64 (-.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) (+.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) a))
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(+.f64 (+.f64 (*.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 #s(literal 0 binary64) (*.f64 a c))))
(+.f64 (+.f64 (*.f64 #s(literal 0 binary64) (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 a c))) (*.f64 b_2 b_2))
(exp.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.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 (*.f64 b_2 b_2) (-.f64 (-.f64 (*.f64 a c) (*.f64 #s(literal 0 binary64) (*.f64 a c))) (*.f64 #s(literal 0 binary64) (*.f64 a c))))
(-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 a c) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a c)))))
(-.f64 (*.f64 b_2 b_2) (-.f64 (-.f64 (*.f64 a c) (*.f64 #s(literal 0 binary64) (*.f64 a c))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 a c)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))
(-.f64 (+.f64 (*.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 a c))
(-.f64 (+.f64 (*.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 (*.f64 a c) (*.f64 #s(literal 0 binary64) (*.f64 a c))))
(-.f64 (+.f64 (*.f64 b_2 b_2) #s(literal 0 binary64)) (*.f64 a c))
(fma.f64 b_2 b_2 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(fma.f64 b_2 b_2 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (*.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 b_2 b_2 (neg.f64 (-.f64 (*.f64 a c) (*.f64 #s(literal 0 binary64) (*.f64 a c)))))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 b_2 b_2))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2))
(fma.f64 #s(literal -1 binary64) (*.f64 a c) (*.f64 b_2 b_2))
(fma.f64 (-.f64 #s(literal 0 binary64) c) a (*.f64 b_2 b_2))
(fma.f64 (-.f64 #s(literal 0 binary64) a) c (*.f64 b_2 b_2))
(+.f64 (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 #s(literal 0 binary64) b_2))) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) #s(literal 0 binary64))
(fma.f64 a (/.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) b_2) #s(literal 0 binary64))
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 a b_2) #s(literal 0 binary64))
(fma.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) b_2) #s(literal 0 binary64))
(fma.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2)) #s(literal 0 binary64))
(fma.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a (*.f64 b_2 b_2)) #s(literal 0 binary64))
(fma.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal 0 binary64))
(fma.f64 (/.f64 a b_2) (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 a (*.f64 c #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) b_2) a #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal 1/2 binary64) b_2) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 a b_2) (/.f64 b_2 c)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) (/.f64 c b_2) #s(literal 0 binary64))
(neg.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))))
(/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))
(/.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 b_2 a))
(/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2)
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))
(/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))
(/.f64 (/.f64 a b_2) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 (/.f64 (*.f64 a c) b_2) (/.f64 b_2 #s(literal 1/2 binary64)))
(/.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2))
(*.f64 a (/.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) b_2))
(*.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2))))
(*.f64 c (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 a b_2)))
(*.f64 c (*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))))
(*.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b_2 b_2))))
(*.f64 c (*.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))))
(*.f64 c (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) a))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) (*.f64 b_2 b_2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b_2) (/.f64 a b_2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 c b_2) a) (/.f64 #s(literal 1 binary64) b_2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 a (*.f64 b_2 b_2))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c (*.f64 b_2 b_2)) a))
(*.f64 (/.f64 c b_2) (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))))
(*.f64 (/.f64 c b_2) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (/.f64 c b_2) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(*.f64 (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) (/.f64 a b_2)))
(*.f64 (/.f64 c b_2) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a))
(*.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) (/.f64 a b_2))
(*.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2)))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a (*.f64 b_2 b_2)))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) a))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) b_2)))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 a b_2)))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))))
(*.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) b_2) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))
(*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 a c) b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 (/.f64 c b_2) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) b_2)))
(*.f64 (/.f64 a b_2) (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 a (*.f64 c #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 c (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a))
(*.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)))
(*.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 (/.f64 c b_2) (/.f64 #s(literal 1 binary64) b_2)))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))))
(*.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 (/.f64 (/.f64 c b_2) #s(literal 2 binary64)) b_2) a)
(*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 a (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 a (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b_2)) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
(*.f64 (/.f64 (/.f64 a b_2) (/.f64 b_2 c)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 c (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))))
(*.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 a (/.f64 #s(literal 1 binary64) c)))
(*.f64 (pow.f64 (/.f64 b_2 (*.f64 a c)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (*.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 c b_2))
(*.f64 (neg.f64 (/.f64 a (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)))) c)
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) b_2) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) (/.f64 c (-.f64 #s(literal 0 binary64) b_2)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) (/.f64 (/.f64 c b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 a (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) b_2)) (/.f64 c b_2))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (/.f64 c (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (/.f64 (/.f64 c b_2) b_2))
(*.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2) (/.f64 c b_2))
(*.f64 (/.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 a b_2))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) (/.f64 a (*.f64 b_2 b_2)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b_2)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64)))) (/.f64 c b_2))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) (/.f64 b_2 c))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) a) (*.f64 c #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) c) (*.f64 a #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 a c)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a c)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal -1 binary64)) (*.f64 a (*.f64 c #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 a c))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 c #s(literal 1/2 binary64))) a)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 a c))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) a)) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 a #s(literal 1/2 binary64))) c)
(*.f64 (*.f64 (/.f64 (*.f64 a c) b_2) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (*.f64 (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) b_2)) c)

simplify531.0ms (4.4%)

Algorithm
egg-herbie
Rules
8096×*-lowering-*.f32
8096×*-lowering-*.f64
3712×+-lowering-+.f64
3712×+-lowering-+.f32
1788×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07757028
127136569
088206569
Stop Event
iter limit
node limit
Counts
588 → 588
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 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 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ (* a c) b_2))
(* 1/2 (/ c 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)
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(* -2 (/ (pow b_2 2) a))
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -2 (/ (pow b_2 2) a))
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -2 (/ (pow b_2 2) a))
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a)
(* 1/2 c)
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(* 1/2 c)
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(* -2 (/ (pow b_2 2) a))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c))
(* 1/2 c)
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c)))))
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c)))))
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c)))))
(* 1/2 c)
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2)))
(* 1/2 (/ c b_2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 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 (* a c))
(- (* -2 (pow b_2 2)) (* -1/2 (* a c)))
(- (* -2 (pow b_2 2)) (* -1/2 (* a c)))
(- (* -2 (pow b_2 2)) (* -1/2 (* a c)))
(* -2 (pow b_2 2))
(* (pow b_2 2) (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* (pow b_2 2) (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* (pow b_2 2) (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* -2 (pow b_2 2))
(* (pow b_2 2) (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* (pow b_2 2) (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* (pow b_2 2) (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* -2 (pow b_2 2))
(+ (* -2 (pow b_2 2)) (* 1/2 (* a c)))
(+ (* -2 (pow b_2 2)) (* 1/2 (* a c)))
(+ (* -2 (pow b_2 2)) (* 1/2 (* a c)))
(* 1/2 (* a c))
(* a (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)))
(* a (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)))
(* a (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)))
(* 1/2 (* a c))
(* -1 (* a (- (* 2 (/ (pow b_2 2) a)) (* 1/2 c))))
(* -1 (* a (- (* 2 (/ (pow b_2 2) a)) (* 1/2 c))))
(* -1 (* a (- (* 2 (/ (pow b_2 2) a)) (* 1/2 c))))
(* -2 (pow b_2 2))
(+ (* -2 (pow b_2 2)) (* 1/2 (* a c)))
(+ (* -2 (pow b_2 2)) (* 1/2 (* a c)))
(+ (* -2 (pow b_2 2)) (* 1/2 (* a c)))
(* 1/2 (* a c))
(* c (- (* -2 (/ (pow b_2 2) c)) (* -1/2 a)))
(* c (- (* -2 (/ (pow b_2 2) c)) (* -1/2 a)))
(* c (- (* -2 (/ (pow b_2 2) c)) (* -1/2 a)))
(* 1/2 (* a c))
(* -1 (* c (- (* 2 (/ (pow b_2 2) c)) (* 1/2 a))))
(* -1 (* c (- (* 2 (/ (pow b_2 2) c)) (* 1/2 a))))
(* -1 (* c (- (* 2 (/ (pow b_2 2) c)) (* 1/2 a))))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
(* -2 (pow b_2 2))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* -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))
(/ b_2 a)
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)
(/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)
(/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)
(/ b_2 a)
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(/ b_2 a)
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(/ b_2 a)
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(* -1/2 (/ c b_2))
(* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))
(* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))
(* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))
(* -1/2 (/ c b_2))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(/ b_2 a)
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)
(/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)
(/ (+ (* -1/2 c) (/ (pow b_2 2) a)) b_2)
(/ b_2 a)
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(/ b_2 a)
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(/ b_2 a)
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(* -1/2 (/ c b_2))
(* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))
(* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))
(* c (- (/ b_2 (* a c)) (* 1/2 (/ 1 b_2))))
(* -1/2 (/ c b_2))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* 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 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
(* 1/2 (/ (* a c) (pow b_2 2)))
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) #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 #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 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))) #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 #s(literal 1/2 binary64) (*.f64 a (/.f64 c (*.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 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.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 #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))))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 a (*.f64 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 c (*.f64 a #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))
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(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 c (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 #s(literal 1/2 binary64) b_2))))
(+ (* -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 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) c) (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 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 b_2 (*.f64 a c))) c))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(*.f64 c (-.f64 (-.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) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (/.f64 b_2 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(*.f64 c (-.f64 (+.f64 (-.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) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (/.f64 b_2 (*.f64 a c))) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* (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 b_2 (*.f64 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) (/.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 (+.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 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))))))) (-.f64 #s(literal 0 binary64) c)) (/.f64 b_2 a)) 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 b_2 (*.f64 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 #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 #s(literal 1 binary64) (+.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))))))
(* 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 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #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 #s(literal 1 binary64) (+.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 #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 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 a (*.f64 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 #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* 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 #s(literal -1/8 binary64) c) c) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) a) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.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 (*.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)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 #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)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 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 #s(literal 0 binary64) (*.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))))))
(* -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 #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 (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)))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (+.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 (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 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))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 a (*.f64 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 a a)) (/.f64 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 #s(literal -1/8 binary64) (*.f64 b_2 b_2)) (/.f64 (*.f64 a a) 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 (*.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 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))))))
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (+.f64 (+.f64 (*.f64 (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 (/.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)))))
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eval350.0ms (2.9%)

Compiler

Compiled 78928 to 6078 computations (92.3% saved)

prune465.0ms (3.8%)

Pruning

56 alts after pruning (51 fresh and 5 done)

PrunedKeptTotal
New2417262443
Fresh92534
Picked325
Done033
Total2429562485
Accuracy
100.0%
Counts
2485 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.5%
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2) (/.f64 a b_2))
26.4%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
10.5%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) a) b_2)
24.5%
(/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 #s(literal -2 binary64))) a) b_2)
36.1%
(/.f64 (/.f64 b_2 a) #s(literal -1/2 binary64))
22.4%
(/.f64 (-.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c)))
13.2%
(/.f64 (-.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (/.f64 a b_2)) a) (*.f64 a (/.f64 a b_2)))
13.7%
(/.f64 (-.f64 (*.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) b_2) a)
14.4%
(/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) b_2) a)
31.9%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
21.1%
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))) a)
17.7%
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))) a)
53.2%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
31.8%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
30.2%
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)))))) a)
35.6%
(/.f64 (-.f64 b_2 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) b_2))
34.6%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
22.4%
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b_2) (*.f64 a a))
10.6%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
35.3%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
23.0%
(/.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))) (*.f64 a a))
25.1%
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 a))
24.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
5.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a b_2))))
35.0%
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
34.5%
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
31.8%
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))))
35.0%
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
5.9%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (/.f64 b_2 a))
35.8%
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
8.8%
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 b_2)) (/.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
15.1%
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (/.f64 b_2 a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
5.6%
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) b_2)) (*.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) a))))
1.6%
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
22.4%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) b_2) (*.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))))
27.8%
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
25.2%
(*.f64 (/.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) b_2) a))
19.5%
(*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))
24.6%
(*.f64 (/.f64 a b_2) (*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 b_2 a)))
35.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
36.2%
(*.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))))))
27.7%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 b_2 a)))
31.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
20.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (*.f64 b_2 a) (/.f64 c b_2)) (/.f64 #s(literal 1/2 binary64) b_2)))
29.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
29.2%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b_2)) (*.f64 a #s(literal 1/2 binary64)))
35.3%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 c b_2))
22.9%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)))
35.2%
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) b_2)) c) (/.f64 #s(literal 1/2 binary64) b_2))
30.5%
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (/.f64 a b_2) (/.f64 #s(literal -1 binary64) a)))
27.6%
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) a))))
25.2%
(*.f64 (*.f64 a c) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) a))))
36.0%
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
34.9%
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
16.0%
(*.f64 b_2 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))))
11.0%
#s(literal 0 binary64)
Compiler

Compiled 2443 to 979 computations (59.9% saved)

regimes127.0ms (1%)

Counts
90 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (/.f64 b_2 a) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 a))
(/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) a)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b_2) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
(/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 #s(literal -2 binary64))) a) b_2)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) a) b_2)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (/.f64 a b_2) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 c b_2))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b_2)) (*.f64 a #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 b_2 a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) b_2) a))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) b_2) a)
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 (*.f64 a c) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) a))))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) a))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) b_2)) c) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 a b_2) (*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 b_2 a)))
(/.f64 (*.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) (*.f64 a a))
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2) (/.f64 a b_2))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (*.f64 b_2 a) (/.f64 c b_2)) (/.f64 #s(literal 1/2 binary64) b_2)))
(*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) b_2) (*.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
(/.f64 (-.f64 (*.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))) a) b_2)
(/.f64 (/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) a) b_2)
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) b_2)) a)
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 a b_2)))) b_2) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) b_2) a)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (/.f64 b_2 a))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 b_2 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.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 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) c) #s(literal -1/2 binary64)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a b_2))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (/.f64 a b_2)) a) (*.f64 a (/.f64 a b_2)))
(/.f64 (-.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (/.f64 b_2 a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(/.f64 (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) a)
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 b_2)) (/.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) b_2)) (*.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) a))))
(/.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))))) (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
(/.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) (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) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
(/.f64 (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))) (*.f64 a a))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))) 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 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a (-.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c))) a)
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a))) a)
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)))))) a)
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c)) #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) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)) #s(literal -1 binary64))))
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

4 calls:

39.0ms
b_2
27.0ms
c
26.0ms
a
25.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
58.0%3a
87.0%3b_2
56.1%2c
76.4%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)

regimes32.0ms (0.3%)

Counts
74 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (/.f64 b_2 a) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 a))
(/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) a)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b_2) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
(/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 #s(literal -2 binary64))) a) b_2)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) a) b_2)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (/.f64 a b_2) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 c b_2))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b_2)) (*.f64 a #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 b_2 a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) b_2) a))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) b_2) a)
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 (*.f64 a c) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) a))))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) a))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) b_2)) c) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 a b_2) (*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 b_2 a)))
(/.f64 (*.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) (*.f64 a a))
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2) (/.f64 a b_2))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (*.f64 b_2 a) (/.f64 c b_2)) (/.f64 #s(literal 1/2 binary64) b_2)))
(*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) b_2) (*.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
(/.f64 (-.f64 (*.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))) a) b_2)
(/.f64 (/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) a) b_2)
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) b_2)) a)
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 a b_2)))) b_2) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) b_2) a)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (/.f64 b_2 a))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 b_2 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.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 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) c) #s(literal -1/2 binary64)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a b_2))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (/.f64 a b_2)) a) (*.f64 a (/.f64 a b_2)))
(/.f64 (-.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (/.f64 b_2 a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(/.f64 (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) a)
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 b_2)) (/.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) b_2)) (*.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) a))))
(/.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))))) (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
(/.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))))))
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

1 calls:

22.0ms
b_2
Results
AccuracySegmentsBranch
83.5%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts
70 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (/.f64 b_2 a) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
(*.f64 c (+.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 a))
(/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) a)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b_2) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2) a)
(/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 #s(literal -2 binary64))) a) b_2)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 1/2 binary64))) a) b_2)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (/.f64 a b_2) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 c b_2))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b_2)) (*.f64 a #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 b_2 a)))
(*.f64 (/.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) b_2) a))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(-.f64 (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 a) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) b_2) a)
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(*.f64 (*.f64 a c) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) a))))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1 binary64) a))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) b_2)) c) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 a b_2) (*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 b_2 a)))
(/.f64 (*.f64 a (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)) (*.f64 a a))
(/.f64 (+.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) b_2) (/.f64 a b_2))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (*.f64 b_2 a) (/.f64 c b_2)) (/.f64 #s(literal 1/2 binary64) b_2)))
(*.f64 (/.f64 b_2 a) (+.f64 (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))) #s(literal 0 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) b_2) (*.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))))
(/.f64 (-.f64 (*.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))) a) b_2)
(/.f64 (/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) a) b_2)
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) b_2)) a)
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (*.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)) (/.f64 a b_2)))) b_2) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) b_2) a)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))) (/.f64 a b_2)) (/.f64 b_2 a))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2)) (*.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 b_2 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 c #s(literal -1/2 binary64)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) b_2))
(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.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 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) c) (-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) c) #s(literal -1/2 binary64)) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 a (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64))))))) (*.f64 a b_2))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b_2 (/.f64 (/.f64 c b_2) #s(literal -2 binary64)))))) (/.f64 a b_2)) a) (*.f64 a (/.f64 a b_2)))
(/.f64 (-.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (/.f64 b_2 a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(/.f64 (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))))) a)
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 b_2)) (/.f64 b_2 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))) (/.f64 b_2 a))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) (*.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) b_2)) (*.f64 (/.f64 b_2 (*.f64 a (/.f64 (/.f64 c b_2) #s(literal 2 binary64)))) a))))
(/.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2))))) (+.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))) (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) c) b_2)))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal 1/2 binary64))) (*.f64 b_2 b_2))))))) a)
Outputs
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

1 calls:

23.0ms
b_2
Results
AccuracySegmentsBranch
69.0%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Outputs
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Calls

1 calls:

3.0ms
b_2
Results
AccuracySegmentsBranch
68.9%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
Outputs
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
Calls

1 calls:

3.0ms
b_2
Results
AccuracySegmentsBranch
68.7%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
Outputs
#s(literal 0 binary64)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
Calls

3 calls:

5.0ms
a
2.0ms
c
2.0ms
b_2
Results
AccuracySegmentsBranch
36.0%1c
36.0%1a
44.3%2b_2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
Outputs
#s(literal 0 binary64)
Calls

3 calls:

1.0ms
a
1.0ms
b_2
1.0ms
c
Results
AccuracySegmentsBranch
11.0%1c
11.0%1a
11.0%1b_2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch57.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.730802589382608e+48
6.397907359229107e+50
37.0ms
-9.193396928947834e-29
-5.216557676609614e-30
Results
21.0ms27×2valid
15.0ms161×0valid
6.0ms36×1valid
2.0ms27×0invalid
Compiler

Compiled 386 to 267 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.9% of total)
ival-div: 3.0ms (15.8% of total)
ival-sqrt: 3.0ms (15.8% of total)
ival-sub: 3.0ms (15.8% of total)
ival-neg: 2.0ms (10.5% of total)
backward-pass: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)

bsearch86.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
3.71122708042906e-143
5.309460664343935e-136
30.0ms
-9.193396928947834e-29
-5.216557676609614e-30
Results
43.0ms194×0valid
10.0ms27×1valid
10.0ms35×2valid
8.0ms67×0invalid
Compiler

Compiled 390 to 287 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 33.0ms (69.2% of total)
ival-sub: 4.0ms (8.4% of total)
ival-div: 3.0ms (6.3% of total)
ival-sqrt: 3.0ms (6.3% of total)
backward-pass: 2.0ms (4.2% of total)
ival-neg: 2.0ms (4.2% of total)
const: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
37.0ms
-5.010047845475266e-286
3.353702163689175e-305
Results
15.0ms176×0valid
11.0ms96×0invalid
Compiler

Compiled 220 to 169 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (32.4% of total)
ival-sub: 3.0ms (24.3% of total)
ival-div: 2.0ms (16.2% of total)
ival-sqrt: 2.0ms (16.2% of total)
ival-neg: 1.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
50.0ms
-5.010047845475266e-286
3.353702163689175e-305
Results
16.0ms176×0valid
9.0ms112×0invalid
Compiler

Compiled 220 to 169 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (34.9% of total)
ival-sub: 3.0ms (21% of total)
ival-div: 2.0ms (14% of total)
ival-sqrt: 2.0ms (14% of total)
ival-neg: 2.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
50.0ms
-5.010047845475266e-286
3.353702163689175e-305
Results
33.0ms176×0valid
8.0ms93×0invalid
Compiler

Compiled 220 to 169 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (32.8% of total)
ival-sub: 3.0ms (24.6% of total)
ival-div: 2.0ms (16.4% of total)
ival-sqrt: 2.0ms (16.4% of total)
ival-neg: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-5.010047845475266e-286
3.353702163689175e-305
Results
15.0ms176×0valid
7.0ms65×0invalid
Compiler

Compiled 176 to 147 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 3.0ms (27.1% of total)
ival-sub: 2.0ms (18.1% of total)
ival-div: 2.0ms (18.1% of total)
ival-sqrt: 2.0ms (18.1% of total)
ival-neg: 1.0ms (9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043112
163112
286112
3110112
4124112
5130112
6132112
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -2676089423823675/356811923176489970264571492362373784095686656 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 629999999999999985759987696460956578392323366322176 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 -501766766966939/11150372599265311570767859136324180752990208 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 6808652464423975/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 0 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b_2 #s(literal -2676089423823675/356811923176489970264571492362373784095686656 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 629999999999999985759987696460956578392323366322176 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 -2676089423823675/356811923176489970264571492362373784095686656 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 629999999999999985759987696460956578392323366322176 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 -501766766966939/11150372599265311570767859136324180752990208 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 6808652464423975/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))
(if (<=.f64 b_2 #s(literal -501766766966939/11150372599265311570767859136324180752990208 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 6808652464423975/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 0 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(literal 0 binary64)

soundness2.0s (16.3%)

Rules
6208×*-lowering-*.f32
6208×*-lowering-*.f64
5556×*-lowering-*.f32
5556×*-lowering-*.f64
5214×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035154
1165148
2715140
35148136
08531136
05646177
119325776
270995751
080045751
01035
14635
214631
374731
4443031
0801731
05282897
118442697
265782675
080802675
044196
1217178
21263136
09252136
010478985
138088261
084868261
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 361 to 220 computations (39.1% saved)

preprocess77.0ms (0.6%)

Compiler

Compiled 452 to 158 computations (65% saved)

end0.0ms (0%)

Profiling

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