quad2p (problem 3.2.1, positive)

Time bar (total: 18.3s)

analyze104.0ms (0.6%)

Memory
-28.4MiB live, 128.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample6.8s (37.2%)

Memory
-44.8MiB live, 2 082.9MiB allocated
Samples
5.1s5 575×0valid
461.0ms1 171×2valid
437.0ms1 053×0invalid
190.0ms1 310×1valid
68.0ms200×3valid
Precisions
Click to see histograms. Total time spent on operations: 5.6s
ival-mult: 4.8s (85.9% of total)
ival-neg: 283.0ms (5% of total)
ival-div: 134.0ms (2.4% of total)
ival-sub: 114.0ms (2% of total)
ival-sqrt: 106.0ms (1.9% of total)
ival-add: 96.0ms (1.7% of total)
adjust: 47.0ms (0.8% of total)
ival-true: 7.0ms (0.1% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

preprocess119.0ms (0.6%)

Memory
16.3MiB live, 110.1MiB allocated
Algorithm
egg-herbie
Rules
1 014×div-sub
798×times-frac
442×associate-/r*
416×accelerator-lowering-fma.f32
416×accelerator-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048131
1119123
2250121
3694121
41801121
53275121
63876121
73981121
84069121
94093121
104093121
01013
12112
23812
36712
410612
518212
631412
746012
880212
991512
1094712
1195812
1295912
095912
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Call 2
Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)
Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (- b_2 (sqrt (+ (* b_2 b_2) (* a c)))) a)
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(/ (- (sqrt (+ (* b_2 b_2) (* a c))) b_2) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (- (sqrt (+ (* b_2 b_2) (* a c))) b_2) a)
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) (neg a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (- b_2 (sqrt (+ (* b_2 b_2) (* a c)))) a)
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (sqrt (- (* a a) (* b_2 c))) a) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)
(/ (- (sqrt (- (* c c) (* b_2 a))) c) a)

explain201.0ms (1.1%)

Memory
-19.1MiB live, 294.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1080-0-(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
661(-2.6557573040482856e-66 2.3889604277162593e+85 1.6892078865245657e-172)0-(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
130-2(-2.6557573040482856e-66 2.3889604277162593e+85 1.6892078865245657e-172)(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
40-0-(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
00-0-(*.f64 b_2 b_2)
00-0-a
00-0-(neg.f64 b_2)
00-0-b_2
00-0-(*.f64 a c)
00-0-c
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))oflow-rescue960
(*.f64 b_2 b_2)overflow85
(*.f64 a c)overflow17
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow96
+.f64(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation670
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue120
(*.f64 b_2 b_2)underflow46
(*.f64 a c)underflow35
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow12
/.f64(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n110
(*.f64 b_2 b_2)underflow46
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow24
(*.f64 a c)underflow35
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow12
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue40
(*.f64 b_2 b_2)overflow85
(*.f64 a c)overflow17
Confusion
Predicted +Predicted -
+1340
-14108
Precision
0.9054054054054054
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13400
-140108
Precision?
0.9054054054054054
Recall?
1.0
Freqs
test
numberfreq
0108
1107
240
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms332×0valid
18.0ms86×2valid
11.0ms78×1valid
4.0ms16×3valid
Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 10.0ms (27.6% of total)
ival-div: 6.0ms (16.6% of total)
ival-sqrt: 6.0ms (16.6% of total)
ival-sub: 4.0ms (11% of total)
ival-neg: 4.0ms (11% of total)
ival-add: 4.0ms (11% of total)
adjust: 3.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Compiler

Compiled 15 to 9 computations (40% saved)

simplify44.0ms (0.2%)

Memory
11.5MiB live, 50.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Rules
416×accelerator-lowering-fma.f32
416×accelerator-lowering-fma.f64
264×*-lowering-*.f32
264×*-lowering-*.f64
140×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0946
12046
23746
36046
410346
515346
625446
738046
859346
983346
1084346
1186946
1288946
088946
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c
Outputs
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
a
c

localize44.0ms (0.2%)

Memory
-13.1MiB live, 25.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy95.5%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
accuracy76.3%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
accuracy60.6%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
12.0ms39×1valid
11.0ms166×0valid
8.0ms43×2valid
2.0ms3valid
Compiler

Compiled 48 to 11 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 12.0ms (51.6% of total)
ival-sub: 4.0ms (17.2% of total)
ival-div: 3.0ms (12.9% of total)
ival-sqrt: 3.0ms (12.9% of total)
adjust: 2.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>
Outputs
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
Calls

36 calls:

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

rewrite392.0ms (2.1%)

Memory
-3.7MiB live, 553.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 764×accelerator-lowering-fma.f32
4 764×accelerator-lowering-fma.f64
4 236×*-lowering-*.f32
4 236×*-lowering-*.f64
2 352×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0937
15537
244337
3544137
0831337
Stop Event
iter limit
node limit
Counts
4 → 398
Calls
Call 1
Inputs
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
Outputs
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) a) (/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) a))
(-.f64 (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) (/.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a))
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(-.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (*.f64 b_2 b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(-.f64 (/.f64 (*.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 a a)) (/.f64 (*.f64 b_2 a) (*.f64 a a)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) #s(literal 3/2 binary64)) (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(-.f64 (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (/.f64 b_2 (*.f64 (/.f64 a b_2) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (/.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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) #s(literal 1 binary64)))
(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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 #s(literal 1 binary64) (-.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))) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(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 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))
(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))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.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 0 binary64) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b_2 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 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))))
(fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
(fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b_2 a))))
(fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a) (*.f64 #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 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))))
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (+.f64 (neg.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(*.f64 (+.f64 (neg.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 a (*.f64 c (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))))
(*.f64 (/.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c))))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(*.f64 (/.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))))) (*.f64 (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (*.f64 a c) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (+.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))))))
(*.f64 (/.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))

simplify476.0ms (2.6%)

Memory
29.7MiB live, 820.5MiB allocated
Algorithm
egg-herbie
Rules
11 022×accelerator-lowering-fma.f32
11 022×accelerator-lowering-fma.f64
7 132×*-lowering-*.f32
7 132×*-lowering-*.f64
3 498×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05083176
116063136
255253120
087882984
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 (sqrt.f64 (/.f64 #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))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2)) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (*.f64 #s(literal -1/2 binary64) (+.f64 c (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 5/64 binary64) a)) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (+.f64 (*.f64 c (/.f64 #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))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (+.f64 (/.f64 #s(literal 2 binary64) a) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2)) b_2))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) b_2) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) b_2) (*.f64 b_2 b_2)) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.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 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))))) (/.f64 b_2 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (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 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) a) b_2) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 a (*.f64 b_2 b_2)) b_2)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 a (*.f64 b_2 b_2)) b_2)) (*.f64 c (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 c b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64))))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (*.f64 c a))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (-.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) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))))) (/.f64 b_2 (*.f64 c a)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c)))))) (-.f64 (*.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 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (/.f64 b_2 (*.f64 c a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 c (+.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) (/.f64 b_2 a)) c) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 c (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (+.f64 (/.f64 b_2 a) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) c)) c))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
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(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b_2 b_2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
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(/ (+ (* -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)
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(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
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(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
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(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
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(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(*.f64 a (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* 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)))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (*.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))) b_2) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
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(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(*.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)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
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(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(*.f64 c (+.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (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)))) (/ b_2 c)))
(*.f64 c (+.f64 (+.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (/.f64 b_2 c))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (+.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (*.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))) b_2) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
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(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.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 b_2 (/.f64 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 c (*.f64 a #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 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.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))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(*.f64 b_2 (+.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 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 c (*.f64 a #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 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.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 (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) 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) (*.f64 c c)) b_2) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.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 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))))))
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.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 (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 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (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 (/.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) (*.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)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))))) (+.f64 (*.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)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #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 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) c) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (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 (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))
(* 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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (+.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (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 #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))

eval153.0ms (0.8%)

Memory
-36.2MiB live, 140.6MiB allocated
Compiler

Compiled 19 718 to 1 963 computations (90% saved)

prune86.0ms (0.5%)

Memory
0.7MiB live, 235.9MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New52715542
Fresh000
Picked011
Done000
Total52716543
Accuracy
93.0%
Counts
543 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.4%
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
31.4%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
49.9%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
49.9%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2) a)
11.9%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
49.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
33.4%
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
30.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))) a)
32.1%
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2))) b_2)
37.5%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
33.2%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
28.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
49.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
49.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
32.0%
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
35.6%
(*.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)))))
Compiler

Compiled 547 to 343 computations (37.3% saved)

simplify252.0ms (1.4%)

Memory
4.2MiB live, 409.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))
cost-diff128
(*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))
cost-diff128
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))))
cost-diff128
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))) a)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
cost-diff0
(*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
cost-diff0
(+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))
cost-diff256
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
cost-diff0
(*.f64 b_2 #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))
cost-diff0
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2)
cost-diff0
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
Rules
5 174×accelerator-lowering-fma.f32
5 174×accelerator-lowering-fma.f64
3 040×*-lowering-*.f32
3 040×*-lowering-*.f64
2 192×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034258
189256
2233256
3688249
42340245
54434245
66287245
08098239
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2) a)
(- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(/ 1 (- (* b_2 b_2) (* a c)))
1
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c
-1/2
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(* (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)) (- 0 b_2))
(+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))
(* c (/ -1/2 (* b_2 b_2)))
c
(/ -1/2 (* b_2 b_2))
-1/2
(* b_2 b_2)
b_2
(/ 2 a)
2
a
(- 0 b_2)
0
(/ (- 0 (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))))) a)
(- 0 (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))))
0
(* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))))
b_2
(+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))
2
(/ (* c (* a -1/2)) (* b_2 b_2))
(* c (* a -1/2))
c
(* a -1/2)
a
-1/2
(* b_2 b_2)
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/ 1 a)
1
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c
Outputs
(/ (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
(- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2)
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))
(/ 1 (- (* b_2 b_2) (* a c)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
1
#s(literal 1 binary64)
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
a
c
-1/2
#s(literal -1/2 binary64)
(/ (* b_2 -2) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* b_2 -2)
(*.f64 b_2 #s(literal -2 binary64))
b_2
-2
#s(literal -2 binary64)
a
(* (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)) (- 0 b_2))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))
(+.f64 (/.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) b_2) (/.f64 #s(literal 2 binary64) a))
(* c (/ -1/2 (* b_2 b_2)))
(/.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) b_2)
c
(/ -1/2 (* b_2 b_2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
-1/2
#s(literal -1/2 binary64)
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
2
#s(literal 2 binary64)
a
(- 0 b_2)
(-.f64 #s(literal 0 binary64) b_2)
0
#s(literal 0 binary64)
(/ (- 0 (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))))) a)
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(- 0 (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))))
(+.f64 (*.f64 b_2 #s(literal -2 binary64)) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64)))
0
#s(literal 0 binary64)
(* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))))
(+.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))
b_2
(+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) b_2))
2
#s(literal 2 binary64)
(/ (* c (* a -1/2)) (* b_2 b_2))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2) b_2)
(* c (* a -1/2))
(*.f64 (*.f64 a c) #s(literal -1/2 binary64))
c
(* a -1/2)
(*.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(* b_2 b_2)
(*.f64 b_2 b_2)
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
c

localize189.0ms (1%)

Memory
6.0MiB live, 473.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy95.2%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
accuracy76.3%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
accuracy60.6%
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
accuracy100.0%
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
accuracy95.5%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))) a)
accuracy93.1%
(*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))
accuracy82.7%
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
accuracy100.0%
(+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))
accuracy99.1%
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
accuracy93.2%
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
accuracy85.6%
(*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
accuracy100.0%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
accuracy100.0%
(*.f64 b_2 #s(literal -2 binary64))
accuracy98.7%
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy95.5%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
accuracy76.3%
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2)
accuracy61.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))
Samples
47.0ms43×2valid
45.0ms166×0valid
23.0ms39×1valid
13.0ms3valid
Compiler

Compiled 266 to 36 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-pow: 28.0ms (29.7% of total)
ival-mult: 22.0ms (23.3% of total)
ival-div: 22.0ms (23.3% of total)
ival-sub: 9.0ms (9.5% of total)
adjust: 6.0ms (6.4% of total)
ival-add: 4.0ms (4.2% of total)
ival-sqrt: 3.0ms (3.2% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.3%)

Memory
19.6MiB live, 139.9MiB allocated
Counts
21 → 648
Calls
Call 1
Inputs
#<alt (/ (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2) a)>
#<alt (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)>
#<alt (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)>
#<alt (/ 1 (- (* b_2 b_2) (* a c)))>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (* (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)) (- 0 b_2))>
#<alt (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))>
#<alt (* c (/ -1/2 (* b_2 b_2)))>
#<alt (/ -1/2 (* b_2 b_2))>
#<alt (/ (- 0 (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))))) a)>
#<alt (- 0 (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))))>
#<alt (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))))>
#<alt (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))>
#<alt (* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))>
#<alt (/ 1 a)>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (/ (* c (* a -1/2)) (* b_2 b_2))>
#<alt (* c (* a -1/2))>
Outputs
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
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#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (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>
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#<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))>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
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#<alt (/ 1 (pow b_2 2))>
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#<alt (/ 1 (pow b_2 2))>
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#<alt (/ 1 (pow b_2 2))>
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#<alt (/ 1 (pow b_2 2))>
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#<alt (/ -1 (* a c))>
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#<alt (/ -1 (* a c))>
#<alt (* -1 (/ (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (* -1 (/ (pow b_2 4) (pow a 3)))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
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#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
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#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
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#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
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#<alt (* -2 b_2)>
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#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)>
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#<alt (/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)>
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#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
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#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
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#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
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#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
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#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (* 1/2 (/ c b_2))>
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#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (/ 2 a)>
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#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))>
#<alt (/ 2 a)>
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#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (/ 2 a)>
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#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (/ 2 a)>
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#<alt (/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)>
#<alt (* -1/2 (/ c (pow b_2 2)))>
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#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
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#<alt (* -1/2 (/ c (pow b_2 2)))>
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#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
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#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
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#<alt (* 1/2 (/ c b_2))>
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#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
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#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (/ (- (* -2 (pow b_2 2)) (* -1/2 (* a c))) b_2)>
#<alt (/ (- (* -2 (pow b_2 2)) (* -1/2 (* a c))) b_2)>
#<alt (/ (- (* -2 (pow b_2 2)) (* -1/2 (* a c))) b_2)>
#<alt (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* c (- (* -2 (/ b_2 c)) (* -1/2 (/ a b_2))))>
#<alt (* c (- (* -2 (/ b_2 c)) (* -1/2 (/ a b_2))))>
#<alt (* c (- (* -2 (/ b_2 c)) (* -1/2 (/ a b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* c (- (* 2 (/ b_2 c)) (* 1/2 (/ a b_2)))))>
#<alt (* -1 (* c (- (* 2 (/ b_2 c)) (* 1/2 (/ a b_2)))))>
#<alt (* -1 (* c (- (* 2 (/ b_2 c)) (* 1/2 (/ a b_2)))))>
#<alt (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* a (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2))))>
#<alt (* a (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2))))>
#<alt (* a (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* -1 (* a (- (* 2 (/ b_2 a)) (* 1/2 (/ c b_2)))))>
#<alt (* -1 (* a (- (* 2 (/ b_2 a)) (* 1/2 (/ c b_2)))))>
#<alt (* -1 (* a (- (* 2 (/ b_2 a)) (* 1/2 (/ c b_2)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) b_2)>
#<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)))))>
#<alt (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* 2 b_2)>
#<alt (* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))>
#<alt (* 2 b_2)>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))))>
#<alt (* -1 (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))))>
#<alt (* -1 (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))))>
#<alt (* 2 b_2)>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))))>
#<alt (* -1 (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))))>
#<alt (* -1 (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1/2 (/ (* a c) (pow b_2 2)))>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<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 (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
#<alt (* -1/2 (* a c))>
Calls

162 calls:

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

rewrite464.0ms (2.5%)

Memory
1.8MiB live, 974.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 762×*-lowering-*.f32
4 762×*-lowering-*.f64
4 644×/-lowering-/.f32
4 644×/-lowering-/.f64
2 868×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034210
1224192
22140186
08966180
Stop Event
iter limit
node limit
Counts
21 → 1 147
Calls
Call 1
Inputs
(/ (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2) a)
(- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(/ 1 (- (* b_2 b_2) (* a c)))
(/ (* b_2 -2) a)
(* b_2 -2)
(* (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)) (- 0 b_2))
(+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))
(* c (/ -1/2 (* b_2 b_2)))
(/ -1/2 (* b_2 b_2))
(/ (- 0 (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))))) a)
(- 0 (* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))))
(* b_2 (+ 2 (/ (* c (* a -1/2)) (* b_2 b_2))))
(+ 2 (/ (* c (* a -1/2)) (* b_2 b_2)))
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/ 1 a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(/ (* c (* a -1/2)) (* b_2 b_2))
(* c (* a -1/2))
Outputs
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (neg.f64 (/.f64 b_2 a)))
(fma.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) a) (*.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))) b_2) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal -1 binary64)) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (neg.f64 (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (neg.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (neg.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a)))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)) (*.f64 (/.f64 b_2 a) (/.f64 b_2 a))) (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 #s(literal 0 binary64) b_2)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b_2)) (*.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1 binary64))) (*.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 a b_2)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) b_2)) (*.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (neg.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (-.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (*.f64 a c)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c))))) (neg.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c))))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c))))) (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) (*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) (*.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(*.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))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))))
(neg.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))))
(/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) (-.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)
(/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 (/.f64 c b_2) (*.f64 a #s(literal -1/2 binary64))) b_2)
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))) (neg.f64 (-.f64 #s(literal 0 binary64) b_2)))
(/.f64 (neg.f64 (*.f64 (/.f64 c b_2) (*.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
(pow.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (*.f64 c #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))
(*.f64 c (/.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 b_2 b_2)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))))
(*.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 c (*.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 c) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))))
(*.f64 (/.f64 c b_2) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 c b_2))
(*.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 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) c)
(*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2))
(*.f64 (pow.f64 (/.f64 b_2 (*.f64 a c)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 a (*.f64 c #s(literal -1/2 binary64)))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(*.f64 (*.f64 a c) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 a c))
(*.f64 (*.f64 a #s(literal -1/2 binary64)) c)
(*.f64 (*.f64 c #s(literal -1/2 binary64)) a)

simplify541.0ms (3%)

Memory
-12.9MiB live, 846.5MiB allocated
Algorithm
egg-herbie
Rules
9 554×accelerator-lowering-fma.f32
9 554×accelerator-lowering-fma.f64
6 896×*-lowering-*.f32
6 896×*-lowering-*.f64
3 708×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073110035
122879929
274649920
080549473
Stop Event
iter limit
node limit
Counts
648 → 648
Calls
Call 1
Inputs
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(/ -1 (* a c))
(- (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(- (* (pow b_2 2) (- (* -1 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(- (* (pow b_2 2) (- (* (pow b_2 2) (- (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ 1 (pow b_2 2))
(/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) (pow b_2 2))
(/ 1 (pow b_2 2))
(/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) (pow b_2 2))
(/ 1 (pow b_2 2))
(+ (/ 1 (pow b_2 2)) (/ (* a c) (pow b_2 4)))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (* -1 (/ c (pow b_2 4))))) (/ 1 (pow b_2 2)))
(+ (* a (- (* a (- (/ (* a (pow c 3)) (pow b_2 8)) (* -1 (/ (pow c 2) (pow b_2 6))))) (* -1 (/ c (pow b_2 4))))) (/ 1 (pow b_2 2)))
(/ -1 (* a c))
(/ (- (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (+ (/ 1 c) (/ (pow b_2 2) (* a (pow c 2))))) a)
(/ (- (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (+ (/ 1 c) (+ (/ (pow b_2 2) (* a (pow c 2))) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))))) a)
(/ -1 (* a c))
(* -1 (/ (+ (/ 1 c) (/ (pow b_2 2) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* a (pow c 3)))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (* -1 (/ (pow b_2 4) (pow c 3)))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(/ 1 (pow b_2 2))
(+ (/ 1 (pow b_2 2)) (/ (* a c) (pow b_2 4)))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (* -1 (/ a (pow b_2 4))))) (/ 1 (pow b_2 2)))
(+ (* c (- (* c (- (/ (* (pow a 3) c) (pow b_2 8)) (* -1 (/ (pow a 2) (pow b_2 6))))) (* -1 (/ a (pow b_2 4))))) (/ 1 (pow b_2 2)))
(/ -1 (* a c))
(/ (- (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(/ (- (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (+ (/ 1 a) (+ (/ (pow b_2 2) (* (pow a 2) c)) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))))) c)
(/ -1 (* a c))
(* -1 (/ (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (* -1 (/ (pow b_2 4) (pow a 3)))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 (/ b_2 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))
(/ (+ (* -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 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* -1/2 (/ c (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1/2 (/ c (pow b_2 2)))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(* 1/2 (/ c b_2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ c b_2))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* 1/2 (/ (* a c) b_2))
(/ (- (* -2 (pow b_2 2)) (* -1/2 (* a c))) b_2)
(/ (- (* -2 (pow b_2 2)) (* -1/2 (* a c))) b_2)
(/ (- (* -2 (pow b_2 2)) (* -1/2 (* a c))) b_2)
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(* 1/2 (/ (* a c) b_2))
(* c (- (* -2 (/ b_2 c)) (* -1/2 (/ a b_2))))
(* c (- (* -2 (/ b_2 c)) (* -1/2 (/ a b_2))))
(* c (- (* -2 (/ b_2 c)) (* -1/2 (/ a b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* c (- (* 2 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1 (* c (- (* 2 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1 (* c (- (* 2 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(* 1/2 (/ (* a c) b_2))
(* a (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2))))
(* a (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2))))
(* a (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* a (- (* 2 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1 (* a (- (* 2 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1 (* a (- (* 2 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) b_2)
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) b_2)
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) b_2)
(* 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)))))
(* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* 2 b_2)
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)))
(* 2 b_2)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))))
(* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))))
(* c (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))))
(* -1/2 (/ (* a c) b_2))
(* -1 (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1 (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* -1 (* c (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))))
(* 2 b_2)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))))
(* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))))
(* a (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))))
(* -1/2 (/ (* a c) b_2))
(* -1 (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1 (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))))
(* -1 (* a (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
2
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -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)))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
Outputs
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a)))))) (/.f64 #s(literal -1 binary64) a))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) c) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) c) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.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))))))) b_2)
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) c) (*.f64 c c)) (*.f64 a a)) (pow.f64 b_2 #s(literal 6 binary64))))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c a))) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) c) (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(-.f64 (/.f64 (+.f64 b_2 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))))) a)) a))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c a))) (pow.f64 b_2 #s(literal 5 binary64))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 c (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64))))))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (*.f64 c a))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 c (+.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 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 (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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b_2 (*.f64 c a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(*.f64 (+.f64 (/.f64 b_2 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (*.f64 #s(literal -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 (*.f64 a (*.f64 c a)))))))) (/.f64 b_2 a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c)) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 c a) (*.f64 a a))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)))) c))) c))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2)
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b_2 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
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(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 b_2 b_2))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) c) (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 b_2 b_2)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) c) (*.f64 c c)) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))) b_2)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64)))))))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c a))) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) c) (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(*.f64 a (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) b_2) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.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 a c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) a)) b_2) a))))
(* -1/2 (/ (* a c) b_2))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2)
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 5 binary64)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 c (+.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) a) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(*.f64 c (+.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 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)))) (/ b_2 c)))
(*.f64 c (+.f64 (+.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)) (*.f64 (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 (sqrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) 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)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (+.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) b_2) c)) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) c)) b_2) c)) (-.f64 #s(literal 0 binary64) c))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a)))) (*.f64 c c))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a)))) (*.f64 c c))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(*.f64 b_2 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))))
(* -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 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
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(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
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b_2
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(* (sqrt (* a c)) (sqrt -1))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))
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(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
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(/ -1 (* a c))
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2
#s(literal 2 binary64)
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2
#s(literal 2 binary64)
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(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
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(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
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(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
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(* a (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
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(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
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(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(/.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 b_2 b_2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
(/.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 b_2 b_2))
(/ (+ (* -1/2 (* a c)) (* 2 (pow b_2 2))) (pow b_2 2))
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2
#s(literal 2 binary64)
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
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(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
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(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
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2
#s(literal 2 binary64)
(+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))
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(* -1/2 (/ c b_2))
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(* (sqrt (/ c a)) (sqrt -1))
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(* (sqrt (/ c a)) (sqrt -1))
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(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
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(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
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(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
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(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
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(* -1/2 (/ c b_2))
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(* (sqrt (/ c a)) (sqrt -1))
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(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a)))) (*.f64 c c))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a)))) (*.f64 c c))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(*.f64 b_2 (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(*.f64 b_2 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))))
(* -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 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 (*.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (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 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.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 a (*.f64 a (*.f64 c 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 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c a))))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.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 a (*.f64 a (*.f64 c a))))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (*.f64 c c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 a (*.f64 c a)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (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 (*.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 (sqrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (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 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #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 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 #s(literal 0 binary64) (*.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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a) (pow.f64 c #s(literal 5 binary64))))))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #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 c (*.f64 c a))))))))) (+.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 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (*.f64 (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 (*.f64 c a) 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 (*.f64 c a) 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 (*.f64 c a) 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 (*.f64 c a) 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 (*.f64 c a) 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 (*.f64 c a) 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))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
(* -1/2 (* a c))
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))

eval259.0ms (1.4%)

Memory
24.2MiB live, 408.3MiB allocated
Compiler

Compiled 52 597 to 4 693 computations (91.1% saved)

prune275.0ms (1.5%)

Memory
-18.0MiB live, 430.3MiB allocated
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1 887161 903
Fresh4610
Picked325
Done011
Total1 894251 919
Accuracy
93.0%
Counts
1 919 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
34.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) a) a) c)) c) #s(literal -1/2 binary64)) b_2) a)
33.6%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
49.9%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2) a)
11.9%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
49.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
33.4%
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
2.6%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))))) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)))))
30.5%
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
28.4%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
11.5%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
37.5%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
33.2%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
49.8%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
33.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
33.5%
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
9.1%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) a) (*.f64 a (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
31.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
49.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
33.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
33.1%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
27.9%
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
11.5%
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
30.2%
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) c)))
36.2%
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))
Compiler

Compiled 910 to 520 computations (42.9% saved)

simplify206.0ms (1.1%)

Memory
31.2MiB live, 339.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 c a))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
cost-diff0
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 c a))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
cost-diff128
(*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))
cost-diff256
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
cost-diff0
(*.f64 b_2 b_2)
cost-diff0
(/.f64 c (*.f64 b_2 b_2))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))
cost-diff384
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
cost-diff0
(/.f64 #s(literal -2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2)
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2) a)
Rules
4 726×accelerator-lowering-fma.f32
4 726×accelerator-lowering-fma.f64
3 440×*-lowering-*.f32
3 440×*-lowering-*.f64
1 746×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032216
183216
2212215
3611210
41377204
52955204
64679204
76995204
08051202
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2) a)
(- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2)
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
1
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(/ 1 (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c
(* (/ -2 a) b_2)
(/ -2 a)
-2
a
b_2
(* (* -1/2 (/ c (* b_2 b_2))) (- 0 b_2))
(* -1/2 (/ c (* b_2 b_2)))
-1/2
(/ c (* b_2 b_2))
c
(* b_2 b_2)
b_2
(- 0 b_2)
0
(* (* c (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2)))) (- 0 b_2))
(* c (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2))))
c
(+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2)))
(/ 2 (* c a))
2
(* c a)
a
(/ -1/2 (* b_2 b_2))
-1/2
(* b_2 b_2)
b_2
(- 0 b_2)
0
(/ (- (sqrt (- 0 (* c a))) b_2) a)
(- (sqrt (- 0 (* c a))) b_2)
(sqrt (- 0 (* c a)))
(- 0 (* c a))
0
(* c a)
c
a
b_2
Outputs
(/ (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))) b_2) a)
(- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))) b_2)
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 a c) (*.f64 b_2 b_2))))
(/ 1 (- (* b_2 b_2) (* a c)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 a c) (*.f64 b_2 b_2)))
(- (* b_2 b_2) (* a c))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
a
c
(* (/ -2 a) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
-2
#s(literal -2 binary64)
a
b_2
(* (* -1/2 (/ c (* b_2 b_2))) (- 0 b_2))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(* -1/2 (/ c (* b_2 b_2)))
(/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
-1/2
#s(literal -1/2 binary64)
(/ c (* b_2 b_2))
(/.f64 c (*.f64 b_2 b_2))
c
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(- 0 b_2)
(-.f64 #s(literal 0 binary64) b_2)
0
#s(literal 0 binary64)
(* (* c (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2)))) (- 0 b_2))
(+.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(* c (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2))))
(+.f64 (/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))
c
(+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2))
(/ 2 (* c a))
(/.f64 #s(literal 2 binary64) (*.f64 a c))
2
#s(literal 2 binary64)
(* c a)
(*.f64 a c)
a
(/ -1/2 (* b_2 b_2))
(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2)
-1/2
#s(literal -1/2 binary64)
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(- 0 b_2)
(-.f64 #s(literal 0 binary64) b_2)
0
#s(literal 0 binary64)
(/ (- (sqrt (- 0 (* c a))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2) a)
(- (sqrt (- 0 (* c a))) b_2)
(-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)
(sqrt (- 0 (* c a)))
(sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)))
(- 0 (* c a))
(*.f64 a (-.f64 #s(literal 0 binary64) c))
0
#s(literal 0 binary64)
(* c a)
(*.f64 a c)
c
a
b_2

localize178.0ms (1%)

Memory
-2.4MiB live, 239.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 c a)
accuracy100.0%
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
accuracy99.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
accuracy85.5%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 c a))
accuracy99.5%
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
accuracy93.3%
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
accuracy85.4%
(*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))
accuracy100.0%
(*.f64 b_2 b_2)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))
accuracy90.2%
(/.f64 c (*.f64 b_2 b_2))
accuracy82.7%
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
accuracy100.0%
(/.f64 #s(literal -2 binary64) a)
accuracy99.8%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
accuracy98.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2) a)
accuracy88.3%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2)
accuracy75.1%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
Samples
68.0ms130×0valid
21.0ms3valid
18.0ms78×0invalid
17.0ms24×2valid
7.0ms17×1valid
Compiler

Compiled 226 to 34 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-sqrt: 44.0ms (44.8% of total)
ival-div: 26.0ms (26.5% of total)
ival-mult: 15.0ms (15.3% of total)
ival-sub: 8.0ms (8.2% of total)
adjust: 3.0ms (3.1% of total)
exact: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.2%)

Memory
-7.3MiB live, 65.9MiB allocated
Counts
21 → 588
Calls
Call 1
Inputs
#<alt (/ (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2) a)>
#<alt (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2)>
#<alt (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))>
#<alt (sqrt (/ 1 (- (* b_2 b_2) (* a c))))>
#<alt (* (/ -2 a) b_2)>
#<alt (/ -2 a)>
#<alt (* (* -1/2 (/ c (* b_2 b_2))) (- 0 b_2))>
#<alt (* -1/2 (/ c (* b_2 b_2)))>
#<alt (/ c (* b_2 b_2))>
#<alt (* b_2 b_2)>
#<alt (* (* c (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2)))) (- 0 b_2))>
#<alt (* c (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2))))>
#<alt (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2)))>
#<alt (/ 2 (* c a))>
#<alt (/ (- (sqrt (- 0 (* c a))) b_2) a)>
#<alt (- (sqrt (- 0 (* c a))) b_2)>
#<alt (sqrt (- 0 (* c a)))>
#<alt (- 0 (* c a))>
#<alt (/ 1 (- (* b_2 b_2) (* a c)))>
#<alt (/ -1/2 (* b_2 b_2))>
#<alt (* c a)>
Outputs
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (* a (* c (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow c 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1)))))))))>
#<alt (/ 1 b_2)>
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#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (/ -1 (* a c))>
#<alt (- (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))>
#<alt (- (* (pow b_2 2) (- (* -1 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (- (* (pow b_2 2) (- (* (pow b_2 2) (- (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))>
#<alt (/ 1 (pow b_2 2))>
#<alt (/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) (pow b_2 2))>
#<alt (/ 1 (pow b_2 2))>
#<alt (/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (- (+ 1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) (pow b_2 2))>
#<alt (/ 1 (pow b_2 2))>
#<alt (+ (/ 1 (pow b_2 2)) (/ (* a c) (pow b_2 4)))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (* -1 (/ c (pow b_2 4))))) (/ 1 (pow b_2 2)))>
#<alt (+ (* a (- (* a (- (/ (* a (pow c 3)) (pow b_2 8)) (* -1 (/ (pow c 2) (pow b_2 6))))) (* -1 (/ c (pow b_2 4))))) (/ 1 (pow b_2 2)))>
#<alt (/ -1 (* a c))>
#<alt (/ (- (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)>
#<alt (/ (- (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (+ (/ 1 c) (/ (pow b_2 2) (* a (pow c 2))))) a)>
#<alt (/ (- (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (+ (/ 1 c) (+ (/ (pow b_2 2) (* a (pow c 2))) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))))) a)>
#<alt (/ -1 (* a c))>
#<alt (* -1 (/ (+ (/ 1 c) (/ (pow b_2 2) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* a (pow c 3)))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (* -1 (/ (pow b_2 4) (pow c 3)))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))>
#<alt (/ 1 (pow b_2 2))>
#<alt (+ (/ 1 (pow b_2 2)) (/ (* a c) (pow b_2 4)))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (* -1 (/ a (pow b_2 4))))) (/ 1 (pow b_2 2)))>
#<alt (+ (* c (- (* c (- (/ (* (pow a 3) c) (pow b_2 8)) (* -1 (/ (pow a 2) (pow b_2 6))))) (* -1 (/ a (pow b_2 4))))) (/ 1 (pow b_2 2)))>
#<alt (/ -1 (* a c))>
#<alt (/ (- (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)>
#<alt (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c)))) c)>
#<alt (/ (- (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (+ (/ 1 a) (+ (/ (pow b_2 2) (* (pow a 2) c)) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))))) c)>
#<alt (/ -1 (* a c))>
#<alt (* -1 (/ (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (* -1 (/ (pow b_2 4) (pow a 3)))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
Calls

147 calls:

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

rewrite448.0ms (2.4%)

Memory
23.2MiB live, 745.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 774×accelerator-lowering-fma.f32
5 774×accelerator-lowering-fma.f64
4 384×/-lowering-/.f32
4 384×/-lowering-/.f64
3 554×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032172
1214159
22148159
08244148
Stop Event
iter limit
node limit
Counts
21 → 1 039
Calls
Call 1
Inputs
(/ (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2) a)
(- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2)
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(* (/ -2 a) b_2)
(/ -2 a)
(* (* -1/2 (/ c (* b_2 b_2))) (- 0 b_2))
(* -1/2 (/ c (* b_2 b_2)))
(/ c (* b_2 b_2))
(* b_2 b_2)
(* (* c (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2)))) (- 0 b_2))
(* c (+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2))))
(+ (/ 2 (* c a)) (/ -1/2 (* b_2 b_2)))
(/ 2 (* c a))
(/ (- (sqrt (- 0 (* c a))) b_2) a)
(- (sqrt (- 0 (* c a))) b_2)
(sqrt (- 0 (* c a)))
(- 0 (* c a))
(/ 1 (- (* b_2 b_2) (* a c)))
(/ -1/2 (* b_2 b_2))
(* c a)
Outputs
(+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 #s(literal 0 binary64) a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) a) (/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) a))
(-.f64 (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a) (/.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 0 binary64)) a) (/.f64 b_2 a))
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(-.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (/.f64 (*.f64 b_2 b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 a a)) (/.f64 (*.f64 a b_2) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))) (/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))) (/.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b_2 a)))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))
(/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (*.f64 a b_2)) (*.f64 a a))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) a))
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (neg.f64 (*.f64 a (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
(/.f64 (neg.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (neg.f64 (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 a a)))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)))))
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(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.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 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a c)))) (+.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (*.f64 a c) (*.f64 a c)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2))))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)))))
(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) b_2)
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) b_2)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) b_2))) (neg.f64 (-.f64 #s(literal 0 binary64) b_2)))
(pow.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal -1/2 binary64) b_2))
(+.f64 #s(literal 0 binary64) (*.f64 a c))
(+.f64 (*.f64 a c) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a c)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 a (-.f64 #s(literal 0 binary64) c))))
(fma.f64 a c #s(literal 0 binary64))
(fma.f64 c a #s(literal 0 binary64))
(fma.f64 (/.f64 c a) (/.f64 (*.f64 a (*.f64 a c)) c) #s(literal 0 binary64))
(fma.f64 (/.f64 c c) (/.f64 (*.f64 a (*.f64 a c)) a) #s(literal 0 binary64))
(fma.f64 (/.f64 a a) (/.f64 (*.f64 c (*.f64 a c)) c) #s(literal 0 binary64))
(fma.f64 (/.f64 a c) (/.f64 (*.f64 c (*.f64 a c)) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a c) a) (/.f64 (*.f64 a c) c) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a c) c) (/.f64 (*.f64 a c) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a a) a) (/.f64 (*.f64 c c) c) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c c) c) (/.f64 (*.f64 a a) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c c) a) (/.f64 (*.f64 a a) c) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 a c) a) a) (/.f64 c c) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 a c) a) c) (/.f64 c a) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 a c) c) a) (/.f64 a c) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 a c) c) c) (/.f64 a a) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 a c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 a (-.f64 #s(literal 0 binary64) c)))
(/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))
(/.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 0 binary64)) (*.f64 (*.f64 a c) (*.f64 a c)))
(*.f64 a c)
(*.f64 c a)
(*.f64 (/.f64 c a) (/.f64 (*.f64 a (*.f64 a c)) c))
(*.f64 (/.f64 c c) (/.f64 (*.f64 a (*.f64 a c)) a))
(*.f64 (/.f64 a a) (/.f64 (*.f64 c (*.f64 a c)) c))
(*.f64 (/.f64 a c) (/.f64 (*.f64 c (*.f64 a c)) a))
(*.f64 (/.f64 (*.f64 a c) a) (/.f64 (*.f64 a c) c))
(*.f64 (/.f64 (*.f64 a c) c) (/.f64 (*.f64 a c) a))
(*.f64 (/.f64 (*.f64 a a) a) (/.f64 (*.f64 c c) c))
(*.f64 (/.f64 (*.f64 c c) c) (/.f64 (*.f64 a a) a))
(*.f64 (/.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) a))
(*.f64 (/.f64 (*.f64 c c) a) (/.f64 (*.f64 a a) c))
(*.f64 (/.f64 (*.f64 (*.f64 a c) a) a) (/.f64 c c))
(*.f64 (/.f64 (*.f64 (*.f64 a c) a) c) (/.f64 c a))
(*.f64 (/.f64 (*.f64 (*.f64 a c) c) a) (/.f64 a c))
(*.f64 (/.f64 (*.f64 (*.f64 a c) c) c) (/.f64 a a))

simplify604.0ms (3.3%)

Memory
31.6MiB live, 1 042.6MiB allocated
Algorithm
egg-herbie
Rules
10 232×accelerator-lowering-fma.f32
10 232×accelerator-lowering-fma.f64
8 532×*-lowering-*.f32
8 532×*-lowering-*.f64
4 356×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08748087
127567951
081907650
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* (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))))
(* -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 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 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) (* 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)))
(* 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 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* -1/2 (/ c (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ 2 (* a c))
(/ (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) c)
(/ (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) c)
(/ (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) c)
(/ -1/2 (pow b_2 2))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(/ -1/2 (pow b_2 2))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(/ 2 (* a c))
(/ (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))) a)
(/ (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))) a)
(/ (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))) a)
(/ -1/2 (pow b_2 2))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(/ -1/2 (pow b_2 2))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(/ -1/2 (pow b_2 2))
(/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) (pow b_2 2))
(/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) (pow b_2 2))
(/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) (pow b_2 2))
(/ 2 (* a c))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(/ 2 (* a c))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ 2 (* a c))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(/ -1 (* a c))
(- (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(- (* (pow b_2 2) (- (* -1 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(- (* (pow b_2 2) (- (* (pow b_2 2) (- (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ 1 (pow b_2 2))
(/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) (pow b_2 2))
(/ 1 (pow b_2 2))
(/ (+ 1 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* -1 (/ (* a c) (pow b_2 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) (pow b_2 2))
(/ 1 (pow b_2 2))
(+ (/ 1 (pow b_2 2)) (/ (* a c) (pow b_2 4)))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (* -1 (/ c (pow b_2 4))))) (/ 1 (pow b_2 2)))
(+ (* a (- (* a (- (/ (* a (pow c 3)) (pow b_2 8)) (* -1 (/ (pow c 2) (pow b_2 6))))) (* -1 (/ c (pow b_2 4))))) (/ 1 (pow b_2 2)))
(/ -1 (* a c))
(/ (- (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (+ (/ 1 c) (/ (pow b_2 2) (* a (pow c 2))))) a)
(/ (- (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (+ (/ 1 c) (+ (/ (pow b_2 2) (* a (pow c 2))) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))))) a)
(/ -1 (* a c))
(* -1 (/ (+ (/ 1 c) (/ (pow b_2 2) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* a (pow c 3)))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (* -1 (/ (pow b_2 4) (pow c 3)))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(/ 1 (pow b_2 2))
(+ (/ 1 (pow b_2 2)) (/ (* a c) (pow b_2 4)))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (* -1 (/ a (pow b_2 4))))) (/ 1 (pow b_2 2)))
(+ (* c (- (* c (- (/ (* (pow a 3) c) (pow b_2 8)) (* -1 (/ (pow a 2) (pow b_2 6))))) (* -1 (/ a (pow b_2 4))))) (/ 1 (pow b_2 2)))
(/ -1 (* a c))
(/ (- (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(/ (- (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (+ (/ 1 a) (+ (/ (pow b_2 2) (* (pow a 2) c)) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))))) c)
(/ -1 (* a c))
(* -1 (/ (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (* -1 (/ (pow b_2 4) (pow a 3)))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
Outputs
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1 binary64) a))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 (+.f64 (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 c (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64))) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 #s(literal 5/64 binary64) a))) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(-.f64 (/.f64 (+.f64 b_2 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
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(* (sqrt (* a c)) (sqrt -1))
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(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b_2 (*.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 #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 a (*.f64 #s(literal -1/2 binary64) (/.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 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(*.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 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 a (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (*.f64 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 c (*.f64 c a))) (*.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (*.f64 #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)))))) (neg.f64 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 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (*.f64 (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)))))))
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 #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 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 c (+.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 c (+.f64 (+.f64 (+.f64 (*.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/2 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)))))) (neg.f64 c))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))))
(+ (* (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)))))))
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(/.f64 #s(literal -1 binary64) (*.f64 c a))
(* -1 (/ (+ (/ 1 a) (/ (pow b_2 2) (* (pow a 2) c))) c))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 a a)))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 a a))) (neg.f64 c)) (/.f64 (*.f64 b_2 b_2) (*.f64 a a))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (* -1 (/ (pow b_2 4) (pow a 3)))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a (*.f64 a a)))) (neg.f64 c)) (/.f64 (*.f64 b_2 b_2) (*.f64 a a))) c)) c))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(/ -1/2 (pow b_2 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)

eval241.0ms (1.3%)

Memory
11.1MiB live, 540.1MiB allocated
Compiler

Compiled 38 905 to 5 332 computations (86.3% saved)

prune252.0ms (1.4%)

Memory
-4.2MiB live, 494.8MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New1 746161 762
Fresh61117
Picked415
Done033
Total1 756311 787
Accuracy
99.9%
Counts
1 787 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(/.f64 (/.f64 (-.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))) a)
31.4%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
33.6%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
33.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) b_2) a)
32.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) b_2) a)
15.7%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2) a)
24.2%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2) a)
11.9%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
49.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
33.4%
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
30.5%
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
32.3%
(/.f64 (*.f64 (-.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)))))
11.5%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
37.5%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
33.2%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
33.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)))
33.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
33.5%
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
31.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
49.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
33.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
33.1%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
10.3%
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 b_2 b_2)) (/.f64 a #s(literal -2 binary64))) (*.f64 a (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
20.3%
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) b_2) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) (*.f64 a b_2))) (-.f64 #s(literal 0 binary64) b_2))
27.9%
(*.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
11.6%
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c b_2)))) (-.f64 #s(literal 0 binary64) b_2))
11.5%
(*.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) b_2)) #s(literal -1/2 binary64))
15.0%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
30.2%
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) c)))
36.2%
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))
27.9%
(neg.f64 (*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) b_2))
Compiler

Compiled 898 to 612 computations (31.8% saved)

simplify192.0ms (1%)

Memory
-3.8MiB live, 229.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
cost-diff0
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
cost-diff0
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))
cost-diff0
(*.f64 c #s(literal -1/2 binary64))
cost-diff0
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
cost-diff128
(+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2)))
cost-diff0
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
cost-diff0
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2)
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff384
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
cost-diff0
(*.f64 c #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
cost-diff0
(*.f64 c #s(literal -1/2 binary64))
cost-diff0
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Rules
3 762×*-lowering-*.f32
3 762×*-lowering-*.f64
2 358×accelerator-lowering-fma.f32
2 358×accelerator-lowering-fma.f64
1 838×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028157
171155
2179155
3479151
41072151
52149151
63063151
73442151
83678151
93926151
106605151
08135149
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* c -1/2) b_2)
(* c -1/2)
c
-1/2
b_2
(/ (* c 1/2) b_2)
(* c 1/2)
c
1/2
b_2
(* (/ 1 a) (/ (* c (* a -1/2)) b_2))
(/ 1 a)
1
a
(/ (* c (* a -1/2)) b_2)
(* c (* a -1/2))
c
(* a -1/2)
-1/2
b_2
(/ (+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2))) b_2)
(+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2)))
(* c -1/2)
c
-1/2
(/ (* -1/8 (* c (* c a))) (* b_2 b_2))
(* -1/8 (* c (* c a)))
-1/8
(* c (* c a))
(* c a)
a
(* b_2 b_2)
b_2
(* (/ 1 a) (- (sqrt (- 0 (* c a))) b_2))
(/ 1 a)
1
a
(- (sqrt (- 0 (* c a))) b_2)
(sqrt (- 0 (* c a)))
(- 0 (* c a))
0
(* c a)
c
b_2
Outputs
(/ (* 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)
b_2
(/ (* 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)
b_2
(* (/ 1 a) (/ (* c (* a -1/2)) 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
(/ (* c (* a -1/2)) b_2)
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) b_2)
(* c (* a -1/2))
(*.f64 c (*.f64 #s(literal -1/2 binary64) a))
c
(* a -1/2)
(*.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
b_2
(/ (+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2))) b_2)
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 c (/.f64 a (*.f64 b_2 b_2)))))) b_2)
(+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2)))
(*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 c (/.f64 a (*.f64 b_2 b_2))))))
(* c -1/2)
(*.f64 c #s(literal -1/2 binary64))
c
-1/2
#s(literal -1/2 binary64)
(/ (* -1/8 (* c (* c a))) (* b_2 b_2))
(/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a #s(literal -1/8 binary64)))) b_2) b_2)
(* -1/8 (* c (* c a)))
(*.f64 c (*.f64 c (*.f64 a #s(literal -1/8 binary64))))
-1/8
#s(literal -1/8 binary64)
(* c (* c a))
(*.f64 c (*.f64 c a))
(* c a)
(*.f64 c a)
a
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* (/ 1 a) (- (sqrt (- 0 (* c a))) b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- (sqrt (- 0 (* c a))) b_2)
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
(sqrt (- 0 (* c a)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
(- 0 (* c a))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
0
#s(literal 0 binary64)
(* c a)
(*.f64 c a)
c
b_2

localize189.0ms (1%)

Memory
-53.3MiB live, 241.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 c a)
accuracy100.0%
(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
accuracy85.5%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
accuracy99.9%
(*.f64 c (*.f64 c a))
accuracy99.7%
(*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a)))
accuracy98.9%
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
accuracy83.4%
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))
accuracy100.0%
(*.f64 c (*.f64 a #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 a #s(literal -1/2 binary64))
accuracy95.1%
(/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2)
accuracy89.2%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
accuracy100.0%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
accuracy100.0%
(*.f64 c #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
accuracy100.0%
(*.f64 c #s(literal -1/2 binary64))
Samples
39.0ms178×0valid
15.0ms78×0invalid
Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 15.0ms (48.1% of total)
ival-div: 10.0ms (32% of total)
ival-sub: 2.0ms (6.4% of total)
ival-sqrt: 2.0ms (6.4% of total)
ival-add: 1.0ms (3.2% of total)
exact: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.1%)

Memory
9.2MiB live, 47.7MiB allocated
Counts
18 → 468
Calls
Call 1
Inputs
#<alt (/ (* c -1/2) b_2)>
#<alt (* c -1/2)>
#<alt (/ (* c 1/2) b_2)>
#<alt (* c 1/2)>
#<alt (* (/ 1 a) (/ (* c (* a -1/2)) b_2))>
#<alt (/ 1 a)>
#<alt (/ (* c (* a -1/2)) b_2)>
#<alt (* c (* a -1/2))>
#<alt (+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2)))>
#<alt (/ (+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2))) b_2)>
#<alt (/ (* -1/8 (* c (* c a))) (* b_2 b_2))>
#<alt (* (/ 1 a) (- (sqrt (- 0 (* c a))) b_2))>
#<alt (- (sqrt (- 0 (* c a))) b_2)>
#<alt (sqrt (- 0 (* c a)))>
#<alt (* a -1/2)>
#<alt (* -1/8 (* c (* c a)))>
#<alt (* c (* c a))>
#<alt (* c a)>
Outputs
#<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)>
#<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 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)>
#<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 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))>
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#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
Calls

117 calls:

TimeVariablePointExpression
3.0ms
a
@0
(+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2)))
1.0ms
b_2
@0
(+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2)))
1.0ms
c
@inf
(+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2)))
1.0ms
a
@0
(/ (* -1/8 (* c (* c a))) (* b_2 b_2))
1.0ms
c
@0
(/ (* c (* a -1/2)) b_2)

rewrite389.0ms (2.1%)

Memory
0.8MiB live, 669.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 212×accelerator-lowering-fma.f32
9 212×accelerator-lowering-fma.f64
4 066×*-lowering-*.f32
4 066×*-lowering-*.f64
3 318×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028126
1149122
21190119
09147117
Stop Event
iter limit
node limit
Counts
18 → 1 135
Calls
Call 1
Inputs
(/ (* c -1/2) b_2)
(* c -1/2)
(/ (* c 1/2) b_2)
(* c 1/2)
(* (/ 1 a) (/ (* c (* a -1/2)) b_2))
(/ 1 a)
(/ (* c (* a -1/2)) b_2)
(* c (* a -1/2))
(+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2)))
(/ (+ (* c -1/2) (/ (* -1/8 (* c (* c a))) (* b_2 b_2))) b_2)
(/ (* -1/8 (* c (* c a))) (* b_2 b_2))
(* (/ 1 a) (- (sqrt (- 0 (* c a))) b_2))
(- (sqrt (- 0 (* c a))) b_2)
(sqrt (- 0 (* c a)))
(* a -1/2)
(* -1/8 (* c (* c a)))
(* c (* c a))
(* c a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b_2)) (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) b_2) (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))
(neg.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))
(/.f64 c (/.f64 b_2 #s(literal -1/2 binary64)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))))
(pow.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c) b_2))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 c b_2)))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(*.f64 #s(literal -1 binary64) (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (-.f64 #s(literal 0 binary64) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (*.f64 c #s(literal 1/2 binary64)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (pow.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 c #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 c #s(literal 1/2 binary64)))
(neg.f64 (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 c #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 c #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 c #s(literal 1/2 binary64)))
(*.f64 c #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) c))
(*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 c #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b_2)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(neg.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 c (/.f64 b_2 #s(literal 1/2 binary64)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(pow.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c) b_2))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 c b_2)))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 #s(literal 1 binary64) (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (*.f64 c #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (-.f64 #s(literal 0 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (pow.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 c #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 c #s(literal -1/2 binary64)))
(neg.f64 (*.f64 c #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c c)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 c #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 c #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) c))
(*.f64 #s(literal 1/2 binary64) c)
(*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(*.f64 (*.f64 c #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 c #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 c #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) a))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) a))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 a))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a)))))
(/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) a) b_2)
(/.f64 (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) a) (-.f64 #s(literal 0 binary64) b_2))
(pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))) #s(literal -1 binary64))
(*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 a a))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) #s(literal 1 binary64)))
(*.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 a)))
(*.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))))
(*.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) a))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) a))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 #s(literal -1/2 binary64) a)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) (/.f64 c a))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 c a) a))
(*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/2 binary64) a) a))
(*.f64 (/.f64 a b_2) (/.f64 (*.f64 c #s(literal -1/2 binary64)) a))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 #s(literal -1/2 binary64) a)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a) (/.f64 c #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 a)) (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) a) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) a) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) a) (/.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) a) (/.f64 (/.f64 #s(literal -1 binary64) b_2) #s(literal 1 binary64)))
(*.f64 (/.f64 c a) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
(*.f64 (/.f64 c a) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c a) b_2))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(*.f64 (/.f64 a a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) a) (/.f64 c b_2))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) a) (/.f64 (/.f64 c b_2) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 c a) a) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (*.f64 c a) a) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 #s(literal -1/2 binary64) a)))))
(*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 #s(literal -1/2 binary64) a)))))
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b_2))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 #s(literal 0 binary64) c) b_2))
(*.f64 (/.f64 (*.f64 c a) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 (*.f64 c a) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) a)) (/.f64 c b_2))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b_2))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) a))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) a))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 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))
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(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (*.f64 (/.f64 b_2 (*.f64 c #s(literal -1/8 binary64))) (/.f64 b_2 (*.f64 c a))))) b_2) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c c))) (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 c a)))))))))
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(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) b_2)
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(/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2)))))
(/.f64 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (*.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) b_2))
(/.f64 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (*.f64 b_2 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c c))) (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 c a)))))))) (neg.f64 (*.f64 b_2 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (*.f64 (/.f64 b_2 (*.f64 c #s(literal -1/8 binary64))) (/.f64 b_2 (*.f64 c a))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c c))) (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 c a)))))))) (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (*.f64 (/.f64 b_2 (*.f64 c #s(literal -1/8 binary64))) (/.f64 b_2 (*.f64 c a))))) b_2)))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 #s(literal -1/4 binary64) (*.f64 c c))) (neg.f64 (*.f64 b_2 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))))))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 #s(literal -1/4 binary64) (*.f64 c c))) (neg.f64 (*.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) b_2)))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c c))) (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 c a))))))) b_2) (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (*.f64 (/.f64 b_2 (*.f64 c #s(literal -1/8 binary64))) (/.f64 b_2 (*.f64 c a))))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) b_2) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c c))) (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 c a))))))) b_2)) (+.f64 (/.f64 (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (*.f64 (/.f64 b_2 (*.f64 c #s(literal -1/8 binary64))) (/.f64 b_2 (*.f64 c a)))) (neg.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) b_2)) (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))))
(pow.f64 (/.f64 b_2 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) b_2))
(*.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) b_2) (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) b_2))
(*.f64 (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) b_2))
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(*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c c))) (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 b_2) (*.f64 c (*.f64 c a))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))) (*.f64 (/.f64 b_2 (*.f64 c #s(literal -1/8 binary64))) (/.f64 b_2 (*.f64 c a))))) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))))
(*.f64 (+.f64 (*.f64 (*.f64 c c) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 c (*.f64 c a)) (*.f64 c (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))))))
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(+.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal 0 binary64))
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(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 c a))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 c a))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(sqrt.f64 (*.f64 c (*.f64 a (*.f64 c a))))
(fma.f64 c a #s(literal 0 binary64))
(fma.f64 c (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 c a) #s(literal 0 binary64))
(fma.f64 a c #s(literal 0 binary64))
(fma.f64 a (-.f64 #s(literal 0 binary64) c) #s(literal 0 binary64))
(fma.f64 a (pow.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 c a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 c a) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 c a) (/.f64 (*.f64 c a) (*.f64 c a)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 (*.f64 c a)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 c a) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) a) c #s(literal 0 binary64))
(fma.f64 (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal 0 binary64))
(fma.f64 (*.f64 c (*.f64 a (*.f64 c a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) c) a #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1 binary64)) a #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a (*.f64 c a))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c (*.f64 c a))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 c (*.f64 c a))) (sqrt.f64 a) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 c c)) (sqrt.f64 (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 a a)) (sqrt.f64 (*.f64 c c)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 c a) a)) (sqrt.f64 c) #s(literal 0 binary64))
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(fma.f64 (/.f64 a a) (/.f64 (*.f64 c (*.f64 c a)) c) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c a) a) (/.f64 (*.f64 c a) c) #s(literal 0 binary64))
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(fma.f64 (/.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 c a) a) c) (/.f64 c a) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 c a) a) a) (/.f64 c c) #s(literal 0 binary64))
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(fma.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c c)) (/.f64 (*.f64 c a) (*.f64 a a)) #s(literal 0 binary64))
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(fma.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) c) (/.f64 (*.f64 c a) (*.f64 a (*.f64 c a))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 c a) a)) (/.f64 (*.f64 c a) c) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) c) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 c a))) #s(literal 0 binary64))
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(fma.f64 (/.f64 (*.f64 a (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c a))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c c)) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c c)) #s(literal 0 binary64))
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(fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c c)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c a) a)) (/.f64 (*.f64 a (*.f64 a a)) c) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a (*.f64 a a)) c) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 c a))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c a) a)) (/.f64 (*.f64 c (*.f64 c c)) c) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) c) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 a (*.f64 c a))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 c (*.f64 c a))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 c (*.f64 c a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) a) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 c c)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 a a)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 c c)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 (*.f64 c a) a)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) c) #s(literal 0 binary64))
(neg.f64 (*.f64 c a))
(/.f64 c (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c a))
(/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 c (*.f64 a (*.f64 c a))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a)))))) (*.f64 c (*.f64 a (*.f64 c a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a)))))
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 c a)) #s(literal 2 binary64))
(pow.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1 binary64))
(*.f64 c a)
(*.f64 c (-.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal 1 binary64) (*.f64 c a))
(*.f64 a c)
(*.f64 a (-.f64 #s(literal 0 binary64) c))
(*.f64 a (pow.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1 binary64)))
(*.f64 (*.f64 c a) (/.f64 (*.f64 c a) (*.f64 c a)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 (*.f64 c a)))
(*.f64 #s(literal -1 binary64) (*.f64 c a))
(*.f64 (-.f64 #s(literal 0 binary64) a) c)
(*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) c) a)
(*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c a)))))
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1 binary64)) a)
(*.f64 (pow.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a (*.f64 c a))))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c (*.f64 c a))))
(*.f64 (sqrt.f64 (*.f64 c (*.f64 c a))) (sqrt.f64 a))
(*.f64 (sqrt.f64 (*.f64 c c)) (sqrt.f64 (*.f64 a a)))
(*.f64 (sqrt.f64 (*.f64 a a)) (sqrt.f64 (*.f64 c c)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c a) a)) (sqrt.f64 c))
(*.f64 (/.f64 c a) (/.f64 (*.f64 a (*.f64 c a)) c))
(*.f64 (/.f64 a a) (/.f64 (*.f64 c (*.f64 c a)) c))
(*.f64 (/.f64 (*.f64 c a) a) (/.f64 (*.f64 c a) c))
(*.f64 (/.f64 (*.f64 c a) a) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 c a))))
(*.f64 (/.f64 a c) (/.f64 (*.f64 c (*.f64 c a)) a))
(*.f64 (/.f64 c c) (/.f64 (*.f64 a (*.f64 c a)) a))
(*.f64 (/.f64 (*.f64 c (*.f64 c a)) a) (/.f64 a c))
(*.f64 (/.f64 (*.f64 c (*.f64 c a)) c) (/.f64 a a))
(*.f64 (/.f64 (*.f64 c a) c) (/.f64 (*.f64 c a) a))
(*.f64 (/.f64 (*.f64 c a) c) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 a (*.f64 c a))))
(*.f64 (/.f64 (*.f64 c c) c) (/.f64 (*.f64 a a) a))
(*.f64 (/.f64 (*.f64 a a) a) (/.f64 (*.f64 c c) c))
(*.f64 (/.f64 (*.f64 c c) a) (/.f64 (*.f64 a a) c))
(*.f64 (/.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) a))
(*.f64 (/.f64 (*.f64 (*.f64 c a) a) c) (/.f64 c a))
(*.f64 (/.f64 (*.f64 (*.f64 c a) a) a) (/.f64 c c))
(*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 c a))) (/.f64 (*.f64 c a) a))
(*.f64 (/.f64 (*.f64 c a) (*.f64 c a)) (*.f64 c a))
(*.f64 (/.f64 (*.f64 c a) (*.f64 c (*.f64 c a))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) a))
(*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) a) (/.f64 (*.f64 c a) (*.f64 c (*.f64 c a))))
(*.f64 (/.f64 (*.f64 c a) (*.f64 c c)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 a a)) (/.f64 (*.f64 c a) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 c a) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c c)) (/.f64 (*.f64 c a) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 c a) a)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) c))
(*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) c) (/.f64 (*.f64 c a) (*.f64 a (*.f64 c a))))
(*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 c a) a)) (/.f64 (*.f64 c a) c))
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) c) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 c a))))
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) a) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c a))))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c a))) (/.f64 (*.f64 c (*.f64 c c)) a))
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c a)) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c a)))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c a)))
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c a))) (/.f64 (*.f64 a (*.f64 a a)) a))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c a))))
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c c)) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c c)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c a) a)) (/.f64 (*.f64 a (*.f64 a a)) c))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) c) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 c a))))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c a) a)) (/.f64 (*.f64 c (*.f64 c c)) c))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) c) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 a (*.f64 c a))))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 c (*.f64 c a))))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 c (*.f64 c a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) a))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 c c)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 a a)))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 a a)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 c c)))
(*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (*.f64 (*.f64 c a) a)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) c))

simplify361.0ms (2%)

Memory
26.3MiB live, 579.4MiB allocated
Algorithm
egg-herbie
Rules
8 278×accelerator-lowering-fma.f32
8 278×accelerator-lowering-fma.f64
5 048×*-lowering-*.f32
5 048×*-lowering-*.f64
1 706×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01433648
14073630
212253618
335093582
459693582
081163504
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ 1 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 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 c)
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/2 a)
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* -1/8 (* a (pow c 2)))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
Outputs
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
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(* a c)
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(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
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(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
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(* a c)
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(* a c)
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(* a c)
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eval256.0ms (1.4%)

Memory
17.9MiB live, 562.0MiB allocated
Compiler

Compiled 35 600 to 4 710 computations (86.8% saved)

prune333.0ms (1.8%)

Memory
-49.2MiB live, 570.3MiB allocated
Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New1 839161 855
Fresh31922
Picked325
Done044
Total1 845411 886
Accuracy
100.0%
Counts
1 886 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(/.f64 (/.f64 (-.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))) a)
29.2%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 c #s(literal 1/2 binary64))) b_2)
33.6%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
33.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) b_2) a)
32.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) b_2) a)
15.7%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2) a)
24.2%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2) a)
11.9%
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
49.9%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
33.4%
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
25.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))
32.3%
(/.f64 (*.f64 (-.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)))))
37.3%
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
30.6%
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 a))
37.5%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
33.2%
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
30.5%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
37.3%
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
33.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)))
33.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
11.4%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
33.5%
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
31.4%
(*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
26.5%
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
27.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a))))
15.6%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2))
24.1%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2))
49.8%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
33.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
31.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
11.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
37.4%
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
33.1%
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
10.3%
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 b_2 b_2)) (/.f64 a #s(literal -2 binary64))) (*.f64 a (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
20.3%
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) b_2) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) (*.f64 a b_2))) (-.f64 #s(literal 0 binary64) b_2))
27.9%
(*.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
11.5%
(*.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) b_2)) #s(literal -1/2 binary64))
15.0%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
29.9%
(*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a))
30.2%
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) c)))
27.9%
(neg.f64 (*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) b_2))
Compiler

Compiled 1 528 to 677 computations (55.7% saved)

regimes79.0ms (0.4%)

Memory
2.6MiB live, 199.7MiB allocated
Counts
65 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) b_2) a)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) b_2)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) c)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 c #s(literal 1/2 binary64))) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
(neg.f64 (*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) b_2))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2)))))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) b_2) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) (*.f64 a b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 b_2 b_2)) (/.f64 a #s(literal -2 binary64))) (*.f64 a (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) a) (*.f64 a (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))))) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)))))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) b_2) a)
(/.f64 (/.f64 (-.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 b_2 b_2)) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))))) a)
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) a) a) c)) c) #s(literal -1/2 binary64)) b_2) a)
(/.f64 (*.f64 (-.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)))))
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 (*.f64 b_2 b_2) (+.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2) a)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2))
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
Calls

4 calls:

20.0ms
c
18.0ms
b_2
18.0ms
a
17.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
53.6%3a
88.0%3b_2
55.2%4c
76.5%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)

regimes21.0ms (0.1%)

Memory
12.8MiB live, 53.0MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) b_2) a)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) b_2)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) c)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 c #s(literal 1/2 binary64))) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
(neg.f64 (*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) b_2))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2)))))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) b_2) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) (*.f64 a b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 b_2 b_2)) (/.f64 a #s(literal -2 binary64))) (*.f64 a (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) a) (*.f64 a (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))))) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)))))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
Calls

1 calls:

16.0ms
b_2
Results
AccuracySegmentsBranch
88.0%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory
7.5MiB live, 46.1MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) b_2) a)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) b_2)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) c)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 c #s(literal 1/2 binary64))) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
(neg.f64 (*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) b_2))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2)))))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) b_2) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) (*.f64 a b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 b_2 b_2)) (/.f64 a #s(literal -2 binary64))) (*.f64 a (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) a) (*.f64 a (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))))) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)))))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)))
Outputs
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
Calls

1 calls:

14.0ms
b_2
Results
AccuracySegmentsBranch
84.6%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes68.0ms (0.4%)

Memory
-2.8MiB live, 34.0MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) b_2) a)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) b_2)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) c)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 c #s(literal 1/2 binary64))) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
(neg.f64 (*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) b_2))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2)))))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) b_2) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) (*.f64 a b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 b_2 b_2)) (/.f64 a #s(literal -2 binary64))) (*.f64 a (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) a) (*.f64 a (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))))) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)))))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
Outputs
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
Calls

1 calls:

64.0ms
b_2
Results
AccuracySegmentsBranch
84.6%3b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes59.0ms (0.3%)

Memory
6.6MiB live, 43.3MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) b_2) a)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) b_2)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(+.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) c) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) c)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 c #s(literal 1/2 binary64))) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 b_2 (-.f64 #s(literal 0 binary64) a))) (*.f64 c (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (+.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)
(neg.f64 (*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) b_2))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2)))))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c a)) (*.f64 b_2 (*.f64 b_2 b_2)))))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 c (*.f64 c a)) b_2))) b_2)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b_2 b_2))) b_2)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))) a)
(/.f64 (-.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2) a)
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) b_2) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) (*.f64 a b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 b_2 b_2)) (/.f64 a #s(literal -2 binary64))) (*.f64 a (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64)))) a) (*.f64 a (/.f64 (*.f64 b_2 b_2) (*.f64 c #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))))) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) (*.f64 b_2 #s(literal 2 binary64))) a)))))
Outputs
(+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

57.0ms
b_2
Results
AccuracySegmentsBranch
68.6%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes62.0ms (0.3%)

Memory
-16.9MiB live, 24.3MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(*.f64 c (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) a))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
(*.f64 (/.f64 (*.f64 c a) b_2) (/.f64 #s(literal -1/2 binary64) a))
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b_2 a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) b_2) a)
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2) a)
(*.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 b_2 b_2)) b_2)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (*.f64 c (/.f64 #s(literal 2 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 a #s(literal -1/2 binary64))) b_2))
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
Calls

1 calls:

60.0ms
b_2
Results
AccuracySegmentsBranch
68.2%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
Calls

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
68.1%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
Outputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
Calls

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
68.0%2b_2
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory
12.9MiB live, 12.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
c
1.0ms
a
1.0ms
b_2
Results
AccuracySegmentsBranch
33.1%1a
33.1%1c
33.1%1b_2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch78.0ms (0.4%)

Memory
5.0MiB live, 78.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
22.0ms
2.1412445890571138e-39
1.5059609859826167e-37
53.0ms
-5.681813275842902e+112
-3.167945095235715e+112
Samples
7.0ms29×2valid
6.0ms80×0valid
4.0ms35×1valid
3.0ms36×0invalid
Compiler

Compiled 341 to 238 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-neg: 3.0ms (21.7% of total)
ival-mult: 3.0ms (21.7% of total)
ival-div: 2.0ms (14.5% of total)
ival-sqrt: 2.0ms (14.5% of total)
adjust: 1.0ms (7.2% of total)
ival-sub: 1.0ms (7.2% of total)
ival-add: 1.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch43.0ms (0.2%)

Memory
3.3MiB live, 88.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
2.1412445890571138e-39
1.5059609859826167e-37
9.0ms
-5.681813275842902e+112
-3.167945095235715e+112
Samples
10.0ms119×0valid
4.0ms24×2valid
4.0ms33×1valid
2.0ms29×0invalid
Compiler

Compiled 364 to 245 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 3.0ms (24.2% of total)
ival-div: 2.0ms (16.1% of total)
ival-sqrt: 2.0ms (16.1% of total)
adjust: 1.0ms (8.1% of total)
ival-sub: 1.0ms (8.1% of total)
ival-neg: 1.0ms (8.1% of total)
ival-add: 1.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch61.0ms (0.3%)

Memory
-5.6MiB live, 140.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
5.686323943979855e-53
1.9149254001373072e-48
23.0ms
-5.312392908787947e-33
-4.835809024919477e-52
Samples
17.0ms224×0valid
9.0ms66×0invalid
5.0ms27×2valid
5.0ms37×1valid
Compiler

Compiled 591 to 428 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 5.0ms (26.2% of total)
ival-div: 3.0ms (15.7% of total)
ival-sqrt: 3.0ms (15.7% of total)
ival-sub: 2.0ms (10.5% of total)
ival-neg: 2.0ms (10.5% of total)
ival-add: 2.0ms (10.5% of total)
adjust: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch52.0ms (0.3%)

Memory
20.5MiB live, 132.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
5.686323943979855e-53
1.9149254001373072e-48
21.0ms
-5.312392908787947e-33
-4.835809024919477e-52
Samples
15.0ms229×0valid
5.0ms29×2valid
4.0ms62×0invalid
4.0ms30×1valid
Compiler

Compiled 555 to 392 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 5.0ms (27% of total)
ival-div: 3.0ms (16.2% of total)
ival-sqrt: 3.0ms (16.2% of total)
ival-sub: 2.0ms (10.8% of total)
ival-neg: 2.0ms (10.8% of total)
ival-add: 2.0ms (10.8% of total)
adjust: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch36.0ms (0.2%)

Memory
-0.7MiB live, 79.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
-5.053206155381446e-298
1.9952471140834967e-293
Samples
12.0ms176×0valid
6.0ms80×0invalid
Compiler

Compiled 283 to 214 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 3.0ms (26.8% of total)
ival-div: 2.0ms (17.9% of total)
ival-add: 2.0ms (17.9% of total)
ival-sqrt: 2.0ms (17.9% of total)
ival-sub: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory
4.7MiB live, 83.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-5.053206155381446e-298
1.9952471140834967e-293
Samples
13.0ms176×0valid
7.0ms107×0invalid
Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (35.4% of total)
ival-div: 2.0ms (17.7% of total)
ival-sqrt: 2.0ms (17.7% of total)
ival-sub: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Memory
3.8MiB live, 84.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-5.053206155381446e-298
1.9952471140834967e-293
Samples
12.0ms176×0valid
9.0ms90×0invalid
Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (50.1% of total)
ival-div: 2.0ms (14.3% of total)
ival-sqrt: 2.0ms (14.3% of total)
ival-sub: 1.0ms (7.2% of total)
ival-add: 1.0ms (7.2% of total)
ival-neg: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Memory
-58.5MiB live, 88.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-5.053206155381446e-298
1.9952471140834967e-293
Samples
12.0ms176×0valid
7.0ms85×0invalid
Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 3.0ms (28.4% of total)
ival-div: 2.0ms (18.9% of total)
ival-sqrt: 2.0ms (18.9% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
ival-neg: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
2.7MiB live, 42.2MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
22×+-commutative_binary64
18×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080238
1108238
2125238
3132238
4135238
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 1724057483474125/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -39999999999999997204797387705217589138693326005559073970463587446588919331323655615047854347577017870308912136192 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 4290987514424489/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 710857968762761/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -496910556692507/2923003274661805836407369665432566039311865085952 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2501166927128233/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
Outputs
(if (<=.f64 b_2 #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 1724057483474125/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) #s(literal -1/2 binary64)) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -39999999999999997204797387705217589138693326005559073970463587446588919331323655615047854347577017870308912136192 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 4290987514424489/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 710857968762761/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 710857968762761/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -496910556692507/2923003274661805836407369665432566039311865085952 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2501166927128233/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -496910556692507/2923003274661805836407369665432566039311865085952 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2501166927128233/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c (+.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2))))) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))

soundness3.3s (18.2%)

Memory
42.2MiB live, 4 130.7MiB allocated
Rules
11 022×accelerator-lowering-fma.f32
11 022×accelerator-lowering-fma.f64
9 554×accelerator-lowering-fma.f32
9 554×accelerator-lowering-fma.f64
9 212×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01433648
14073630
212253618
335093582
459693582
081163504
034210
1224192
22140186
08966180
01013
12112
23812
36712
410612
518212
631412
746012
880212
991512
1094712
1195812
1295912
095912
028126
1149122
21190119
09147117
0937
15537
244337
3544137
0831337
032172
1214159
22148159
08244148
073110035
122879929
274649920
080549473
05083176
116063136
255253120
087882984
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
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 064 to 621 computations (41.6% saved)

preprocess83.0ms (0.5%)

Memory
-9.8MiB live, 185.2MiB allocated
Compiler

Compiled 700 to 232 computations (66.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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