quad2m (problem 3.2.1, negative)

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze137.0ms (2.1%)

Memory
0.5MiB live, 153.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
42.6%40.6%54.6%0.1%0%4.7%0%7
51.2%48.4%46%0.1%0%5.5%0%8
54.5%49.9%41.7%0.1%0%8.2%0%9
60.2%53.4%35.3%0.1%0%11.1%0%10
67.6%58.7%28.2%0.1%0%13%0%11
71.4%60.6%24.2%0.1%0%15.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample1.7s (26.1%)

Memory
13.2MiB live, 1 799.5MiB allocated
Samples
559.0ms1 199×2valid
486.0ms5 566×0valid
172.0ms1 317×1valid
108.0ms1 060×0invalid
45.0ms174×3valid
Precisions
Click to see histograms. Total time spent on operations: 956.0ms
ival-sub: 441.0ms (46.1% of total)
ival-mult: 151.0ms (15.8% of total)
ival-sqrt: 115.0ms (12% of total)
ival-div: 100.0ms (10.5% of total)
adjust: 69.0ms (7.2% of total)
ival-neg: 69.0ms (7.2% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain206.0ms (3.1%)

Memory
3.0MiB live, 158.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1010-0-(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
590-0-(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
131(1.1949545384843971e-51 -1.5177958363521758e+233 -9.269142425044814e-90)1(-1.9552431305791408e-228 -1.5363344832013717e+243 3.240600282121893e+154)(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
20-0-(-.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-rescue930
(*.f64 b_2 b_2)overflow73
(*.f64 a c)overflow27
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow93
-.f64(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation590
/.f64(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n130
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow26
(*.f64 b_2 b_2)underflow41
(*.f64 a c)underflow40
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow8
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue80
(*.f64 b_2 b_2)underflow41
(*.f64 a c)underflow40
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow8
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue20
(*.f64 b_2 b_2)overflow73
(*.f64 a c)overflow27
Confusion
Predicted +Predicted -
+1310
-17108
Precision
0.8851351351351351
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13100
-170108
Precision?
0.8851351351351351
Recall?
1.0
Freqs
test
numberfreq
0108
1121
227
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms88×2valid
25.0ms344×0valid
10.0ms72×1valid
2.0ms3valid
Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sub: 8.0ms (23.3% of total)
ival-mult: 8.0ms (23.3% of total)
ival-sqrt: 6.0ms (17.5% of total)
ival-div: 5.0ms (14.6% of total)
adjust: 4.0ms (11.7% of total)
ival-neg: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess113.0ms (1.7%)

Memory
20.1MiB live, 56.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044118
1142118
2354113
31079113
42501113
53333113
63404113
73526113
83618113
93618113
103618113
01013
01713
13213
25913
312113
420013
535613
662013
774313
884813
986513
1086613
086613
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify41.0ms (0.6%)

Memory
-6.3MiB live, 28.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
cost-diff0
(neg.f64 b_2)
cost-diff0
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01050
01750
13250
25950
312150
420050
535650
662050
774350
884850
986550
1086650
086650
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c
Outputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 a c)
(*.f64 c a)
a
c

localize106.0ms (1.6%)

Memory
-17.6MiB live, 68.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.40234375000000006
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy2.8510997113685694
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy13.59868545564595
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy23.630060001928452
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
52.0ms172×0valid
9.0ms44×2valid
5.0ms36×1valid
1.0ms3valid
Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sqrt: 42.0ms (75.1% of total)
ival-sub: 4.0ms (7.2% of total)
ival-mult: 4.0ms (7.2% of total)
ival-div: 3.0ms (5.4% of total)
adjust: 2.0ms (3.6% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
36.3MiB live, 36.3MiB allocated
Counts
5 → 97
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
Outputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
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))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(* 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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(- (* -1 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 b_2)
(+ (* 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)))))))))
(- (pow b_2 2) (* a c))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* 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)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -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))))))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ 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))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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)))))
(* 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))))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* 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 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Calls

9 calls:

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

simplify223.0ms (3.3%)

Memory
-37.4MiB live, 284.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05282732
116572699
256112679
082182554
Stop Event
iter limit
node limit
Counts
97 → 96
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
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))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(* 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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(- (* -1 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 b_2)
(+ (* 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)))))))))
(- (pow b_2 2) (* a c))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* 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)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -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))))))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ 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))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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)))))
(* 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))))))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* 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 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
Outputs
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 a b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
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(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 c)) a) c)

rewrite157.0ms (2.4%)

Memory
32.2MiB live, 257.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01041
01741
16841
250338
3659038
0830538
Stop Event
iter limit
node limit
iter limit
Counts
5 → 428
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(neg.f64 b_2)
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
Outputs
(*.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a) (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(*.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) a) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) a) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 b_2 #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(*.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a) (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) a) (pow.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(*.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (neg.f64 a) a))) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(*.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (/.f64 #s(literal -1 binary64) a))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)) a))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
(*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)))
(*.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(*.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) (*.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)))
(*.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) #s(literal 1 binary64))
(*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) a) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)) a)
(/.f64 (*.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 #s(literal -1 binary64) a)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) a)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) a)) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (*.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 a #s(literal -1 binary64))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) a)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (neg.f64 a) a)))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) (*.f64 a a))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (neg.f64 a))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(/.f64 (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)) (*.f64 (/.f64 b_2 a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) a)) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (neg.f64 a) a)))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))) (neg.f64 (*.f64 a a)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (neg.f64 a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (neg.f64 a) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 a (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(/.f64 (*.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 a)))
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b_2
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(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 a) c))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 a) c))
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(sqrt.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 c a (*.f64 b_2 b_2)))
(-.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(fabs.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(hypot.f64 (pow.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 c a) (*.f64 b_2 b_2))
(hypot.f64 (*.f64 b_2 b_2) (pow.f64 (*.f64 c a) #s(literal 1 binary64)))
(hypot.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(hypot.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(+.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c))
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))

eval56.0ms (0.8%)

Memory
-25.9MiB live, 100.2MiB allocated
Compiler

Compiled 16 974 to 2 054 computations (87.9% saved)

prune15.0ms (0.2%)

Memory
34.3MiB live, 34.3MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New50714521
Fresh000
Picked011
Done000
Total50715522
Accuracy
91.4%
Counts
522 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
24.7%
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
15.9%
(/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (*.f64 a a))
24.5%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) a)
51.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
33.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
22.0%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
28.8%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
34.8%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
24.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
24.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
34.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
31.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
34.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
35.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Compiler

Compiled 603 to 404 computations (33% saved)

simplify222.0ms (3.3%)

Memory
-31.7MiB live, 77.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
cost-diff0
(*.f64 b_2 b_2)
cost-diff0
(fma.f64 c a (*.f64 b_2 b_2))
cost-diff64
(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
cost-diff0
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
cost-diff0
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
cost-diff0
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
cost-diff0
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff0
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
cost-diff0
(/.f64 b_2 a)
cost-diff0
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
cost-diff0
(/.f64 c b_2)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034254
053254
196254
2170252
3313252
4554252
5975252
61839252
73555250
84634250
95097250
105249250
115281250
125317250
135440250
146329250
157593250
08105248
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
#s(literal -1/2 binary64)
(/.f64 c b_2)
c
b_2
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
b_2
a
#s(literal -2 binary64)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
b_2
c
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
#s(literal 1 binary64)
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
a
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
b_2
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
b_2
(fma.f64 c a (*.f64 b_2 b_2))
c
a
(*.f64 b_2 b_2)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
#s(literal -1/2 binary64)
(/.f64 c b_2)
c
b_2
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 b_2 a)
b_2
a
#s(literal -2 binary64)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(/.f64 #s(literal 1/2 binary64) b_2)
#s(literal 1/2 binary64)
b_2
c
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 b_2 a)
a
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)
#s(literal 1 binary64)
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
a
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
b_2
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b_2) b_2 c) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 #s(literal 2 binary64) (*.f64 b_2 b_2) (*.f64 c a))
b_2
(fma.f64 c a (*.f64 b_2 b_2))
c
a
(*.f64 b_2 b_2)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))

localize138.0ms (2.1%)

Memory
-28.2MiB live, 88.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
accuracy0.24999724760556022
(fma.f64 c a (*.f64 b_2 b_2))
accuracy5.419710403580386
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy7.10988454026637
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
accuracy0.06640625
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy0.078125
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
accuracy0.24999724760556022
(fma.f64 c a (*.f64 b_2 b_2))
accuracy5.419710403580386
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) b_2)
accuracy0.0078125
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy0.05859375
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy21.063516970756872
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
accuracy0.0
(/.f64 b_2 a)
accuracy0.0078125
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy20.902617900594336
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy0.0
(/.f64 c b_2)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
accuracy21.0356410164991
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Samples
80.0ms169×0invalid
18.0ms87×0valid
Compiler

Compiled 504 to 68 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 10.0ms (29.2% of total)
ival-mult: 10.0ms (29.2% of total)
ival-sub: 5.0ms (14.6% of total)
ival-add: 3.0ms (8.8% of total)
ival-sqrt: 3.0ms (8.8% of total)
ival-neg: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series104.0ms (1.6%)

Memory
16.6MiB live, 59.6MiB allocated
Counts
18 → 239
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(/.f64 c b_2)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
Outputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/ b_2 a)
(/ (- b_2 (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))) a)
(/ a (- b_2 (* b_2 (sqrt -1))))
(* a (+ (* 1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(* a (+ (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/16 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow c 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* 2 (pow b_2 2))
(+ (* 2 (pow b_2 2)) (* a c))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(* a (- (* b_2 (sqrt -1)) b_2))
(* a (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2))
(* a (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2))
(* a (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2))
(* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2))))
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow a 2)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (* c (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a c)
(* a (+ c (* 2 (/ (pow b_2 2) a))))
(* a (+ c (/ (pow b_2 2) a)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(/ (- (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1))))) (pow a 2))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2)))))) c)) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow a 3))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1 b_2) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 4))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (/ (* a b_2) (* c (pow (sqrt -1) 4)))) a)) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)) (/ (* a b_2) (* c (pow (sqrt -1) 4)))) a)) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* -2 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* (sqrt (* (pow a 3) c)) (pow (sqrt -1) 3)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -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 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(* -1 (/ (- (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4)))))) (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) a)) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ 1/2 b_2)
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (- (* -1 (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* b_2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (sqrt -1)))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 2)))))))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(/ (* b_2 (- 1 (sqrt -1))) a)
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ 1 a)) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a))) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a)))) (/ (sqrt -1) a)))
(/ a (* b_2 (- 1 (sqrt -1))))
(/ (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (/ a (- 1 (sqrt -1)))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2)))) (pow b_2 4))) (/ a (- 1 (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2))))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))))))) (- 1 (sqrt -1)))))) (pow b_2 6))) (/ a (- 1 (sqrt -1)))) (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 3)))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 2))))))) b_2)
(* b_2 (- 1 (sqrt -1)))
(* b_2 (- (+ 1 (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) (sqrt -1)))
(* b_2 (- (+ 1 (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (+ 1 (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* (pow b_2 2) (+ 2 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* a (* b_2 (- (sqrt -1) 1)))
(* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1))))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1)))))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1))))))
(* 2 (/ b_2 (* a (- (sqrt -1) 1))))
(* b_2 (- (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1)))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1)))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1))))))) (- (sqrt -1) 1))) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1))) (* 1/8 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow (- (sqrt -1) 1) 2))))) (pow b_2 6))) (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1))))) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (* (pow b_2 4) (- (sqrt -1) 1)))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(/ (* b_2 (+ 1 (sqrt -1))) a)
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4)))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))
(/ a (* b_2 (+ 1 (sqrt -1))))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))) b_2))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))) b_2))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))))) (* (pow b_2 6) (+ 1 (sqrt -1))))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (* (pow b_2 6) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (* (pow b_2 6) (pow (+ 1 (sqrt -1)) 3)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))))))))) b_2))
(* b_2 (+ 1 (sqrt -1)))
(* -1 (* b_2 (- (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (- (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* a (* b_2 (+ 1 (sqrt -1)))))
(* -1 (* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1)))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))))
(* -2 (/ b_2 (* a (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1))))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1)))))))) (+ 1 (sqrt -1)))) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))) (pow b_2 6))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (* (pow b_2 4) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* 1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* a (sqrt -1)) (pow b_2 3))))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ a (- b_2 (* b_2 (sqrt -1)))))
(+ (* c (- (* -1 (* c (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ a (- b_2 (* b_2 (sqrt -1)))))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1/16 (/ (* (pow a 4) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow a 4) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ a (- b_2 (* b_2 (sqrt -1)))))
(- (+ b_2 (* c (- (* 1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* c (- (* -1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) b_2)) (* a (- (* b_2 (sqrt -1)) b_2)))
(+ (* a (- (* b_2 (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* (pow a 2) (sqrt -1)) b_2)))))
(+ (* a (- (* b_2 (sqrt -1)) b_2)) (* c (+ (* 1/2 (/ (* (pow a 2) (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 3) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 4) (* c (sqrt -1))) (pow b_2 5))))))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (+ (* -1 (* c (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (+ (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow a 2) (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 (* a c))))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2))))) c)
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ a (* 2 (/ (pow b_2 2) c))))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (pow c 2))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2))))))) a)) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow c 3))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (* a (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (* c (+ (* -2 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 2) (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) c)) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
Calls

9 calls:

TimeVariablePointExpression
36.0ms
c
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ b_2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
13.0ms
b_2
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ b_2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
8.0ms
a
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ b_2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
8.0ms
b_2
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ b_2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
7.0ms
b_2
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ b_2 a) -2) (/ b_2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))

simplify353.0ms (5.3%)

Memory
-14.0MiB live, 144.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158410350
153659876
093509546
Stop Event
iter limit
node limit
Counts
239 → 239
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/ b_2 a)
(/ (- b_2 (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))) a)
(/ a (- b_2 (* b_2 (sqrt -1))))
(* a (+ (* 1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(* a (+ (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/16 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow c 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(* 2 (pow b_2 2))
(+ (* 2 (pow b_2 2)) (* a c))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(* a (- (* b_2 (sqrt -1)) b_2))
(* a (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2))
(* a (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2))
(* a (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2))
(* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2))))
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow a 2)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (* c (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a c)
(* a (+ c (* 2 (/ (pow b_2 2) a))))
(* a (+ c (/ (pow b_2 2) a)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(/ (- (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1))))) (pow a 2))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2)))))) c)) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow a 3))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1 b_2) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 4))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (/ (* a b_2) (* c (pow (sqrt -1) 4)))) a)) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)) (/ (* a b_2) (* c (pow (sqrt -1) 4)))) a)) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* -2 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* (sqrt (* (pow a 3) c)) (pow (sqrt -1) 3)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -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 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(* -1 (/ (- (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4)))))) (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) a)) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(/ c b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ 1/2 b_2)
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (+ (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (- (* -1 (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(- b_2 (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (+ 1 (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* b_2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (sqrt -1)))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 2)))))))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(/ (* b_2 (- 1 (sqrt -1))) a)
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ 1 a)) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a))) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a)))) (/ (sqrt -1) a)))
(/ a (* b_2 (- 1 (sqrt -1))))
(/ (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (/ a (- 1 (sqrt -1)))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2)))) (pow b_2 4))) (/ a (- 1 (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2))))) b_2)
(/ (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (- 1 (sqrt -1)) 3))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (- 1 (sqrt -1)) 2))))))) (- 1 (sqrt -1)))))) (pow b_2 6))) (/ a (- 1 (sqrt -1)))) (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (- 1 (sqrt -1)) 2)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 3)))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- 1 (sqrt -1)) 2))))))) b_2)
(* b_2 (- 1 (sqrt -1)))
(* b_2 (- (+ 1 (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) (sqrt -1)))
(* b_2 (- (+ 1 (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (+ 1 (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* (pow b_2 2) (+ 2 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* a (* b_2 (- (sqrt -1) 1)))
(* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1))))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1)))))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1))))))
(* 2 (/ b_2 (* a (- (sqrt -1) 1))))
(* b_2 (- (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1)))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1)))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1))))))) (- (sqrt -1) 1))) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1))) (* 1/8 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow (- (sqrt -1) 1) 2))))) (pow b_2 6))) (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1))))) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (* (pow b_2 4) (- (sqrt -1) 1)))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(/ (* b_2 (+ 1 (sqrt -1))) a)
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4)))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))
(/ a (* b_2 (+ 1 (sqrt -1))))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))) b_2))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))) b_2))
(* -1 (/ (+ (* -1 (/ a (+ 1 (sqrt -1)))) (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (pow (+ 1 (sqrt -1)) 3))) (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))))) (* (pow b_2 6) (+ 1 (sqrt -1))))) (+ (* -1/4 (/ (* (pow a 3) (* (pow c 2) (pow (sqrt -1) 2))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 3)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (* (pow b_2 6) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (pow (sqrt -1) 2))) (* (pow b_2 6) (pow (+ 1 (sqrt -1)) 3)))) (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)))))))))) b_2))
(* b_2 (+ 1 (sqrt -1)))
(* -1 (* b_2 (- (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (- (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* a (* b_2 (+ 1 (sqrt -1)))))
(* -1 (* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1)))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))))
(* -2 (/ b_2 (* a (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1))))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1)))))))) (+ 1 (sqrt -1)))) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))) (pow b_2 6))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (* (pow b_2 4) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* 1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* a (sqrt -1)) (pow b_2 3))))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ a (- b_2 (* b_2 (sqrt -1)))))
(+ (* c (- (* -1 (* c (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ a (- b_2 (* b_2 (sqrt -1)))))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1/16 (/ (* (pow a 4) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow a 4) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow a 3) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* (pow a 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ a (- b_2 (* b_2 (sqrt -1)))))
(- (+ b_2 (* c (- (* 1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* c (- (* -1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) b_2)) (* a (- (* b_2 (sqrt -1)) b_2)))
(+ (* a (- (* b_2 (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* (pow a 2) (sqrt -1)) b_2)))))
(+ (* a (- (* b_2 (sqrt -1)) b_2)) (* c (+ (* 1/2 (/ (* (pow a 2) (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 3) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 4) (* c (sqrt -1))) (pow b_2 5))))))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (+ (* -1 (* c (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (+ (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow a 2) (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 (* a c))))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2))))) c)
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ a (* 2 (/ (pow b_2 2) c))))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (pow c 2))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2))))))) a)) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow c 3))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1))))) c)) (/ b_2 a)) c)))))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c a)) (/ (pow b_2 2) (pow (sqrt -1) 5)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (* a (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (* c (+ (* -2 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 2) (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) c)) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
Outputs
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ b_2 a)
(/.f64 b_2 a)
(/ (- b_2 (* b_2 (sqrt -1))) a)
(/.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(/ (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))) a)
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal -1/2 binary64) b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))) a)
(/.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))) a)
(/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(/ a (- b_2 (* b_2 (sqrt -1))))
(/.f64 a (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))
(* a (+ (* 1/2 (/ (* a (* c (sqrt -1))) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) a)
(* a (+ (* a (- (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1 binary64) (*.f64 c c))) (*.f64 (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 3 binary64)) (*.f64 b_2 b_2)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) a (/.f64 #s(literal 1 binary64) (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) a)
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/16 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 5) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/16 (/ (* (pow c 3) (pow (sqrt -1) 2)) (* (pow b_2 4) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))))))) (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (* (pow b_2 2) (pow (- b_2 (* b_2 (sqrt -1))) 3)))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* -1/2 (/ (* c (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (/ 1 (- b_2 (* b_2 (sqrt -1))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1 binary64) (*.f64 c c))) (*.f64 (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 3 binary64)) (*.f64 b_2 b_2))))) (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1 binary64) (*.f64 c c))) (*.f64 (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 3 binary64)) (*.f64 b_2 b_2)))))) a (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c (pow.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) a (/.f64 #s(literal 1 binary64) (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) a)
(- b_2 (* b_2 (sqrt -1)))
(-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal -1/2 binary64) b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(* b_2 (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(* 2 (pow b_2 2))
(*.f64 (*.f64 b_2 b_2) #s(literal 2 binary64))
(+ (* 2 (pow b_2 2)) (* a c))
(fma.f64 (*.f64 b_2 b_2) #s(literal 2 binary64) (*.f64 c a))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* a c) (pow b_2 2))
(fma.f64 c a (*.f64 b_2 b_2))
(* a (- (* b_2 (sqrt -1)) b_2))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) a)
(* a (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(* a (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(* a (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 b_2 b_2) a))
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/.f64 (fma.f64 (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64)))) a (/.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)))) (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) a (/.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
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(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
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(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
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(/.f64 (neg.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 b_2 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) c))) c)
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 3) c) (* a (pow (sqrt -1) 6)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 5))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 4)))) c))) c))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) c) a) (fma.f64 (*.f64 b_2 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))) c) #s(literal -1 binary64) (*.f64 b_2 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) c) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) c)
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b_2) c) (*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) b_2)) c) (*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 (-.f64 b_2 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) (*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* c (+ (* -2 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -2 binary64) (neg.f64 a)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(*.f64 (neg.f64 c) (neg.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) c) a)))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)) (/ (* a b_2) c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 a (/.f64 b_2 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (*.f64 (neg.f64 a) b_2)) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (neg.f64 (fma.f64 a b_2 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 b_2 a))) c))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b_2 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 b_2 a))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 b_2 a)))) c))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 2) (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) c)) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 b_2 a))) (*.f64 b_2 b_2)) a) (fma.f64 (*.f64 b_2 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 b_2 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 b_2 a))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 b_2 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 b_2 a))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64)))))) c) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 b_2 a)))) c))

rewrite186.0ms (2.8%)

Memory
31.1MiB live, 106.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034187
053187
1221185
21656185
08682185
Stop Event
iter limit
node limit
iter limit
Counts
18 → 624
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(/.f64 c b_2)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 b_2 a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 c (*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b_2) (*.f64 (neg.f64 c) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b_2) (*.f64 #s(literal -1/2 binary64) (neg.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) c)
(*.f64 (neg.f64 c) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 c b_2))
(*.f64 c (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (/.f64 b_2 c) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 (neg.f64 c) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 c))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 c))
(/.f64 c b_2)
(neg.f64 (/.f64 (neg.f64 c) b_2))
(neg.f64 (/.f64 c (neg.f64 b_2)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 c (neg.f64 b_2)))
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
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(*.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(*.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) #s(literal 1 binary64))
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(*.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
(pow.f64 (exp.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) #s(literal -1/2 binary64))
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(pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) #s(literal 1 binary64))
(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 (*.f64 a (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))))) (neg.f64 (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 b_2 #s(literal 1 binary64)) a) (*.f64 a (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b_2)) a) (*.f64 (neg.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 (neg.f64 (neg.f64 a)) a))
(/.f64 (-.f64 (neg.f64 a) (*.f64 (neg.f64 (/.f64 a b_2)) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 (neg.f64 (/.f64 a b_2)) a))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a b_2) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 (/.f64 a b_2) a))
(/.f64 (-.f64 (*.f64 (neg.f64 b_2) a) (*.f64 (neg.f64 a) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 b_2 a) (*.f64 a (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 b_2 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)
(/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
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(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)))) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 (*.f64 a (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (neg.f64 a))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (*.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(neg.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) b_2 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) b_2 (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 (neg.f64 a)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64))))
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(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(fma.f64 (neg.f64 b_2) (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (neg.f64 b_2) (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(fma.f64 b_2 (pow.f64 a #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 b_2 (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(-.f64 (/.f64 (/.f64 b_2 a) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) (/.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) a) (/.f64 (/.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) a))
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) a) (/.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (neg.f64 a)))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
(+.f64 (/.f64 b_2 a) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (fma.f64 b_2 b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)))
(neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (neg.f64 a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (fma.f64 b_2 b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (fma.f64 b_2 b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))) (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (neg.f64 a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(-.f64 (/.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (neg.f64 a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))) (/.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 b_2 b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)) (/.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (fma.f64 b_2 b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1 binary64)))

eval253.0ms (3.8%)

Memory
4.1MiB live, 193.6MiB allocated
Compiler

Compiled 40 878 to 4 483 computations (89% saved)

prune52.0ms (0.8%)

Memory
-13.4MiB live, 74.8MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1 06991 078
Fresh279
Picked145
Done011
Total1 072211 093
Accuracy
91.4%
Counts
1 093 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
24.5%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) a)
51.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
33.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
22.0%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
28.8%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
22.4%
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
24.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
24.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
34.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
31.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
34.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
34.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
34.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
16.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #s(literal -2 binary64)))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
35.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
17.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
11.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
Compiler

Compiled 829 to 576 computations (30.5% saved)

simplify160.0ms (2.4%)

Memory
-16.4MiB live, 101.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2)))
cost-diff0
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
cost-diff128
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))
cost-diff640
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2))))
cost-diff0
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
cost-diff0
(*.f64 c a)
cost-diff0
#s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a))
cost-diff0
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
cost-diff0
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
cost-diff0
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
cost-diff0
(/.f64 c b_2)
cost-diff0
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
cost-diff0
(neg.f64 c)
cost-diff0
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
cost-diff832
(/.f64 (neg.f64 c) #s(literal -1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057407
086404
1157402
2311392
3663384
42063381
55485381
67043381
77922381
08107373
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (neg.f64 c) #s(literal -1 binary64))
(neg.f64 c)
c
#s(literal -1 binary64)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 c b_2)
c
b_2
#s(literal 1/2 binary64)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
a
b_2
#s(literal -1/2 binary64)
c
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
#s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a))
(*.f64 c a)
c
a
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
b_2
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2))))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
c
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))
(*.f64 #s(literal 1/8 binary64) (*.f64 a a))
#s(literal 1/8 binary64)
(*.f64 a a)
(*.f64 c (/.f64 (/.f64 c b_2) b_2))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
b_2
(neg.f64 b_2)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(/.f64 (neg.f64 c) #s(literal -1 binary64))
c
(neg.f64 c)
c
#s(literal -1 binary64)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 c b_2)
c
b_2
#s(literal 1/2 binary64)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
a
b_2
#s(literal -1/2 binary64)
c
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
#s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a))
(*.f64 c a)
c
a
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(fma.f64 c a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
b_2
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2)) a #s(literal -1/2 binary64))) b_2) c)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2)))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2)) a #s(literal -1/2 binary64))) b_2) c))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))
(*.f64 (/.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 c b_2) b_2)) a #s(literal -1/2 binary64))) b_2) c)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 c a))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
c
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) b_2) b_2) (*.f64 c c))
(*.f64 #s(literal 1/8 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 a a)
(*.f64 c (/.f64 (/.f64 c b_2) b_2))
(*.f64 (/.f64 (/.f64 c b_2) b_2) c)
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c b_2)
b_2
(neg.f64 b_2)

localize207.0ms (3.1%)

Memory
9.7MiB live, 207.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.7393916862044196
(*.f64 c (/.f64 (/.f64 c b_2) b_2))
accuracy0.9495158511629411
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))
accuracy3.455905912452383
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))
accuracy21.135074700199258
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2)))
accuracy0.23263893704820118
#s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a))
accuracy0.24999724760556022
(fma.f64 c a (*.f64 b_2 b_2))
accuracy5.419710403580386
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy7.10988454026637
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
accuracy0.0
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy0.0625
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
accuracy0.978252895550739
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy21.04416920922743
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy0.0
(/.f64 c b_2)
accuracy0.0
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy0.24211336750766255
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy21.063516970756872
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) b_2)
accuracy0.0
(neg.f64 c)
accuracy0.05859375
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
accuracy21.0356410164991
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
Samples
112.0ms169×0invalid
25.0ms87×0valid
Compiler

Compiled 727 to 106 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 42.0ms (39.3% of total)
ival-sub: 38.0ms (35.5% of total)
ival-div: 16.0ms (15% of total)
ival-add: 4.0ms (3.7% of total)
ival-sqrt: 3.0ms (2.8% of total)
ival-neg: 3.0ms (2.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series67.0ms (1%)

Memory
21.8MiB live, 60.6MiB allocated
Counts
25 → 195
Calls
Call 1
Inputs
(/.f64 (neg.f64 c) #s(literal -1 binary64))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(neg.f64 c)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 c b_2)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
#s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a))
(*.f64 c a)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2)))
(/.f64 #s(literal -1/2 binary64) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 c a (*.f64 b_2 b_2))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))
(*.f64 c (/.f64 (/.f64 c b_2) b_2))
Outputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2))))
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(* 2 (pow b_2 2))
(+ (* 2 (pow b_2 2)) (* a c))
(* a c)
(* a (- (* b_2 (sqrt -1)) b_2))
(* a (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2))
(* a (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2))
(* a (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2))
(* 1/2 (* a c))
(* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(/ (- (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1))))) (pow a 2))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2)))))) c)) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow a 3))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))))) a)
(* a (+ c (* 2 (/ (pow b_2 2) a))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a))))
(* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* (pow a 2) (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a (+ c (/ (pow b_2 2) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(* -1 (/ (- (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4)))))) (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) a)) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* -1 (* a (+ (* -2 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* (sqrt (* (pow a 3) c)) (pow (sqrt -1) 3)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -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 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ c b_2)
(- (* -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)))
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* b_2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (sqrt -1)))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 2)))))))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(/ (+ (* 1/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b_2 2) c)))) (pow b_2 2))
(/ (+ (* -1/2 (* a (* (pow b_2 2) c))) (* -1/8 (* (pow a 2) (pow c 2)))) (pow b_2 3))
(/ -1/2 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(/ (pow c 2) (pow b_2 2))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* 2 (/ b_2 (* a (- (sqrt -1) 1))))
(* b_2 (- (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1)))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1)))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1))))))) (- (sqrt -1) 1))) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1))) (* 1/8 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow (- (sqrt -1) 1) 2))))) (pow b_2 6))) (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1))))) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (* (pow b_2 4) (- (sqrt -1) 1)))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))))
(* (pow b_2 2) (+ 2 (/ (* a c) (pow b_2 2))))
(* a (* b_2 (- (sqrt -1) 1)))
(* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1))))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1)))))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1))))))
(+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c)))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 (/ b_2 (* a (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1))))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1)))))))) (+ 1 (sqrt -1)))) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))) (pow b_2 6))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (* (pow b_2 4) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))))
(* -1 (* a (* b_2 (+ 1 (sqrt -1)))))
(* -1 (* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1)))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
c
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 c)
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (+ (* -1 (* c (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (+ (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow a 2) (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) b_2)) (* a (- (* b_2 (sqrt -1)) b_2)))
(+ (* a (- (* b_2 (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* (pow a 2) (sqrt -1)) b_2)))))
(+ (* a (- (* b_2 (sqrt -1)) b_2)) (* c (+ (* 1/2 (/ (* (pow a 2) (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 3) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 4) (* c (sqrt -1))) (pow b_2 5))))))))
(* c (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 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)))))
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (pow c 2))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2))))))) a)) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow c 3))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ a (* 2 (/ (pow b_2 2) c))))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 2))) (* 1/2 (/ a c))))
(* (pow c 2) (+ (* -1/2 (/ a (* b_2 c))) (* -1/8 (/ (pow a 2) (pow b_2 3)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 2) (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) c)) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(* -1 (* c (+ (* -2 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
b_2
@-inf
((/ (neg c) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ (neg c) -1) (/ -1/2 b_2)) (neg c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* c a) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (/ (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ -1/2 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2))) (* c (/ (/ c b_2) b_2)))
5.0ms
b_2
@0
((/ (neg c) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ (neg c) -1) (/ -1/2 b_2)) (neg c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* c a) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (/ (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ -1/2 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2))) (* c (/ (/ c b_2) b_2)))
5.0ms
c
@-inf
((/ (neg c) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ (neg c) -1) (/ -1/2 b_2)) (neg c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* c a) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (/ (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ -1/2 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2))) (* c (/ (/ c b_2) b_2)))
4.0ms
c
@inf
((/ (neg c) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ (neg c) -1) (/ -1/2 b_2)) (neg c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* c a) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (/ (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ -1/2 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2))) (* c (/ (/ c b_2) b_2)))
4.0ms
c
@0
((/ (neg c) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ (neg c) -1) (/ -1/2 b_2)) (neg c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* c a) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (/ (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ -1/2 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2))) (* c (/ (/ c b_2) b_2)))

simplify175.0ms (2.6%)

Memory
7.7MiB live, 199.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011937404
139457164
082176916
Stop Event
iter limit
node limit
Counts
195 → 194
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ a b_2))
(* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2))))
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(* 2 (pow b_2 2))
(+ (* 2 (pow b_2 2)) (* a c))
(* a c)
(* a (- (* b_2 (sqrt -1)) b_2))
(* a (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2))
(* a (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2))
(* a (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2))
(* 1/2 (* a c))
(* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(/ (- (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1))))) (pow a 2))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2)))))) c)) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow a 3))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))))) a)
(* a (+ c (* 2 (/ (pow b_2 2) a))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* (pow a 2) (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a))))
(* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* (pow a 2) (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* a (+ c (/ (pow b_2 2) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(* -1 (/ (- (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4)))))) (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) (pow (sqrt -1) 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) a)) (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* -1 (* a (+ (* -2 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* (sqrt (* (pow a 3) c)) (pow (sqrt -1) 3)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -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 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ c b_2)
(- (* -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)))
(+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* b_2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (sqrt -1)))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 2)))))))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))))))) (/ 1 (* a (pow (sqrt -1) 2))))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(/ (+ (* 1/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b_2 2) c)))) (pow b_2 2))
(/ (+ (* -1/2 (* a (* (pow b_2 2) c))) (* -1/8 (* (pow a 2) (pow c 2)))) (pow b_2 3))
(/ -1/2 b_2)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(/ (pow c 2) (pow b_2 2))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* 2 (/ b_2 (* a (- (sqrt -1) 1))))
(* b_2 (- (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1)))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1)))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))
(* b_2 (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1))))))) (- (sqrt -1) 1))) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1))) (* 1/8 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow (- (sqrt -1) 1) 2))))) (pow b_2 6))) (+ (* 2 (/ 1 (* a (- (sqrt -1) 1)))) (/ c (* (pow b_2 2) (- (sqrt -1) 1))))) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (- (sqrt -1) 1)) (/ (* c (sqrt -1)) (pow (- (sqrt -1) 1) 2)))))) (* (pow b_2 4) (- (sqrt -1) 1)))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (- (sqrt -1) 1) 2)))))))
(* (pow b_2 2) (+ 2 (/ (* a c) (pow b_2 2))))
(* a (* b_2 (- (sqrt -1) 1)))
(* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1))))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1)))))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 1))))))
(+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c)))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 (/ b_2 (* a (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1))))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/2 (/ (* a (* c (* (sqrt -1) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1)))))))) (+ 1 (sqrt -1)))) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))))) (pow b_2 6))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (* (pow b_2 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (* (pow b_2 4) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))))
(* -1 (* a (* b_2 (+ 1 (sqrt -1)))))
(* -1 (* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1)))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
c
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 c)
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (+ (* -1 (* c (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2)))) (* c (- (+ (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow a 2) (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ 1 (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (sqrt -1)) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) b_2)) (* a (- (* b_2 (sqrt -1)) b_2)))
(+ (* a (- (* b_2 (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* (pow a 2) (sqrt -1)) b_2)))))
(+ (* a (- (* b_2 (sqrt -1)) b_2)) (* c (+ (* 1/2 (/ (* (pow a 2) (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 3) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 4) (* c (sqrt -1))) (pow b_2 5))))))))
(* c (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 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)))))
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (pow c 2))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2))))))) a)) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (sqrt -1)))) (pow c 3))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) (sqrt -1)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ a (* 2 (/ (pow b_2 2) c))))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* (pow c 2) (+ (* 1/8 (/ (pow a 2) (pow b_2 2))) (* 1/2 (/ a c))))
(* (pow c 2) (+ (* -1/2 (/ a (* b_2 c))) (* -1/8 (/ (pow a 2) (pow b_2 3)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow b_2 2) (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) c)) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) c)))
(* -1 (* c (+ (* -2 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Outputs
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 a c) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (/.f64 (*.f64 a c) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2))
(* -1/2 (/ (* a c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* 2 (/ (pow b_2 2) (* a (- (* b_2 (sqrt -1)) b_2))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 b_2 b_2) a))
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/.f64 (fma.f64 (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64)))) a (/.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)))) (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) a (/.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))) a)
(/ (+ (* 2 (/ (pow b_2 2) (- (* b_2 (sqrt -1)) b_2))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (* b_2 (- (* b_2 (sqrt -1)) b_2)))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* (pow b_2 3) (- (* b_2 (sqrt -1)) b_2)))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (- (* b_2 (sqrt -1)) b_2) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- (* b_2 (sqrt -1)) b_2) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (- (* b_2 (sqrt -1)) b_2)) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) (* b_2 (- (* b_2 (sqrt -1)) b_2))))))) (/ c (- (* b_2 (sqrt -1)) b_2))) (/ (* b_2 (* c (sqrt -1))) (pow (- (* b_2 (sqrt -1)) b_2) 2))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))))) b_2) (fma.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)))))) a (-.f64 (/.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (pow.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) #s(literal 2 binary64))))) a (/.f64 (*.f64 (*.f64 b_2 b_2) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))) a)
(* 2 (pow b_2 2))
(*.f64 (*.f64 b_2 b_2) #s(literal 2 binary64))
(+ (* 2 (pow b_2 2)) (* a c))
(fma.f64 (*.f64 b_2 b_2) #s(literal 2 binary64) (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (- (* b_2 (sqrt -1)) b_2))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) a)
(* a (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(* a (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(* a (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a)
(* 1/2 (* a c))
(*.f64 #s(literal 1/2 binary64) (*.f64 a c))
(* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) a)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* b_2 (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) b_2) (/.f64 (*.f64 c c) b_2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(+.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/8 binary64))))
(* 1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))) 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 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)))) 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)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 (fma.f64 a b_2 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c)) (neg.f64 c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 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)) (pow (sqrt -1) 3))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) (neg.f64 c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) c) a)) (neg.f64 c))

rewrite220.0ms (3.3%)

Memory
-16.3MiB live, 226.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057344
086342
1314335
22158323
08862319
Stop Event
iter limit
node limit
iter limit
Counts
25 → 627
Calls
Call 1
Inputs
(/.f64 (neg.f64 c) #s(literal -1 binary64))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(neg.f64 c)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(/.f64 c b_2)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
#s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a))
(*.f64 c a)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2)))
(/.f64 #s(literal -1/2 binary64) b_2)
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 c a (*.f64 b_2 b_2))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))
(*.f64 c (/.f64 (/.f64 c b_2) b_2))
Outputs
(*.f64 #s(literal 1 binary64) c)
(*.f64 #s(literal -1 binary64) (neg.f64 c))
(*.f64 (neg.f64 c) #s(literal -1 binary64))
(*.f64 c #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 c #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 c #s(literal -1 binary64))))
(/.f64 (neg.f64 c) #s(literal -1 binary64))
(/.f64 c #s(literal 1 binary64))
(neg.f64 (neg.f64 c))
(-.f64 #s(literal 0 binary64) (neg.f64 c))
(exp.f64 (*.f64 (log.f64 (pow.f64 c #s(literal -1 binary64))) #s(literal -1 binary64)))
c
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 c))
(*.f64 (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) c)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 c #s(literal -2 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b_2) #s(literal 1 binary64)) (neg.f64 c))
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (neg.f64 c) #s(literal -2 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 c))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) c)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 #s(literal -1 binary64) c)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) b_2)))
(*.f64 (neg.f64 c) (/.f64 (/.f64 #s(literal 1/2 binary64) b_2) #s(literal 1 binary64)))
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 1 binary64))) (neg.f64 (pow.f64 c #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) b_2) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c))) (neg.f64 (*.f64 (neg.f64 b_2) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 (*.f64 (neg.f64 b_2) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b_2))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) b_2)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (*.f64 (*.f64 #s(literal -2 binary64) b_2) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (*.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (neg.f64 b_2) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 #s(literal 1 binary64) (neg.f64 b_2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 b_2))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 (*.f64 b_2 #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 (pow.f64 c #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) b_2)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b_2) (pow.f64 c #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 c #s(literal -1 binary64)) (neg.f64 b_2)))
(/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (pow.f64 c #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (neg.f64 b_2) (pow.f64 c #s(literal -1 binary64)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (neg.f64 b_2))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 c #s(literal -1 binary64)) b_2))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) b_2) #s(literal 1 binary64))))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 c (*.f64 (*.f64 #s(literal -2 binary64) b_2) #s(literal 1 binary64)))
(/.f64 c (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 c (*.f64 #s(literal -2 binary64) b_2))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) b_2) #s(literal 1 binary64))) (/.f64 (neg.f64 c) (*.f64 (*.f64 #s(literal -2 binary64) b_2) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 (neg.f64 c) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) b_2))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) b_2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 #s(literal 0 binary64) (neg.f64 c)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c))) (neg.f64 (+.f64 #s(literal 0 binary64) c)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c))
(/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64)))
(/.f64 (neg.f64 c) #s(literal 1 binary64))
(/.f64 c #s(literal -1 binary64))
(neg.f64 c)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 c c) (+.f64 #s(literal 0 binary64) c)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c)))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c)))))
(-.f64 #s(literal 0 binary64) c)
(+.f64 #s(literal 0 binary64) (neg.f64 c))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(*.f64 (/.f64 (neg.f64 c) #s(literal -2 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (*.f64 #s(literal 1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 c #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (neg.f64 c) #s(literal 2 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (neg.f64 c))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 c) b_2))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(pow.f64 (*.f64 (*.f64 b_2 #s(literal 2 binary64)) (pow.f64 c #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 b_2 c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c))) b_2)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c))) b_2)
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2))
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(*.f64 (/.f64 (/.f64 c b_2) b_2) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c))
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 c b_2) #s(literal 2 binary64))))
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 c b_2) #s(literal 2 binary64)) (*.f64 a a)))
(*.f64 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) (/.f64 b_2 c)))
(*.f64 c (*.f64 (/.f64 (/.f64 c b_2) b_2) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 c b_2) c) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) (/.f64 (neg.f64 c) b_2))) b_2)
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) c)) (*.f64 (neg.f64 b_2) b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) (*.f64 (/.f64 c b_2) c))) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) (/.f64 c b_2))) (neg.f64 b_2))
(/.f64 (*.f64 (*.f64 (/.f64 c b_2) c) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))) b_2)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) #s(literal 1 binary64)) (/.f64 (*.f64 b_2 b_2) c))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) (/.f64 (neg.f64 c) b_2)) (neg.f64 b_2))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) c) (*.f64 b_2 b_2))
(/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) (*.f64 (/.f64 c b_2) c)) b_2)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) (/.f64 c b_2)) b_2)
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c)) (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))
(/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/8 binary64)) c) (/.f64 (*.f64 b_2 b_2) c))
(*.f64 (/.f64 c (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 c b_2))
(*.f64 (/.f64 (*.f64 c c) #s(literal 1 binary64)) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) b_2))
(*.f64 (/.f64 (*.f64 c c) #s(literal -1 binary64)) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (neg.f64 b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b_2) c)) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b_2) c)) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 b_2 #s(literal 1 binary64))) (/.f64 (neg.f64 c) (/.f64 b_2 c)))
(*.f64 (/.f64 (neg.f64 c) (/.f64 (neg.f64 b_2) c)) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) (/.f64 b_2 #s(literal 1 binary64))) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 c (/.f64 (neg.f64 b_2) c)) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 c (/.f64 b_2 #s(literal 1 binary64))) (/.f64 c b_2))
(*.f64 (/.f64 (neg.f64 c) (/.f64 b_2 c)) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 (/.f64 c b_2) #s(literal -1 binary64)) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 (/.f64 c b_2) #s(literal 1 binary64)) (/.f64 c b_2))
(*.f64 (/.f64 (/.f64 (neg.f64 c) b_2) b_2) (neg.f64 c))
(*.f64 (*.f64 (/.f64 c b_2) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (neg.f64 c) (/.f64 b_2 c)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 (/.f64 c b_2) c))
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 (neg.f64 c) b_2))
(*.f64 (/.f64 (/.f64 c b_2) b_2) c)
(*.f64 (/.f64 c b_2) (/.f64 (/.f64 c b_2) #s(literal 1 binary64)))
(*.f64 (/.f64 c b_2) (/.f64 c b_2))
(*.f64 (neg.f64 c) (/.f64 c (*.f64 (neg.f64 b_2) b_2)))
(*.f64 (neg.f64 c) (/.f64 (/.f64 (neg.f64 c) b_2) b_2))
(*.f64 c (/.f64 (/.f64 c b_2) b_2))
(pow.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (pow.f64 c #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 (*.f64 (/.f64 c b_2) c)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(pow.f64 (/.f64 c b_2) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 c) b_2) c)) b_2)
(/.f64 (neg.f64 (*.f64 c (/.f64 (neg.f64 c) b_2))) b_2)
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b_2) b_2))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 c b_2) c))) b_2)
(/.f64 (*.f64 (/.f64 (neg.f64 c) b_2) c) (neg.f64 b_2))
(/.f64 (*.f64 c (/.f64 (neg.f64 c) b_2)) (neg.f64 b_2))
(/.f64 (*.f64 c c) (*.f64 b_2 b_2))
(/.f64 (neg.f64 (*.f64 (/.f64 c b_2) c)) (neg.f64 b_2))
(/.f64 (*.f64 (/.f64 c b_2) c) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 (/.f64 c b_2) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 (/.f64 c b_2) c))))
(/.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))
(/.f64 c (/.f64 (*.f64 b_2 b_2) c))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 b_2 b_2) c)) (/.f64 (neg.f64 c) (/.f64 (*.f64 b_2 b_2) c)))

eval113.0ms (1.7%)

Memory
12.1MiB live, 203.1MiB allocated
Compiler

Compiled 34 267 to 4 238 computations (87.6% saved)

prune30.0ms (0.5%)

Memory
8.3MiB live, 95.5MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New8387845
Fresh2911
Picked235
Done055
Total84224866
Accuracy
91.4%
Counts
866 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(/.f64 (/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 a c)) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) b_2))
51.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
33.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
28.3%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
24.0%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2) (*.f64 #s(literal 1/2 binary64) a)) c)) (neg.f64 b_2))) a)
28.8%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
28.8%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
22.4%
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
24.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
28.7%
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))
24.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
13.2%
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))) #s(literal -1 binary64)))
34.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
31.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
34.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
34.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
34.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
16.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #s(literal -2 binary64)))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
35.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
17.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
11.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
Compiler

Compiled 929 to 659 computations (29.1% saved)

simplify115.0ms (1.7%)

Memory
5.2MiB live, 44.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
cost-diff192
(*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))
cost-diff12928
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
cost-diff0
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
cost-diff0
(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))
cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) a) c)
cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)
cost-diff0
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))
cost-diff0
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
cost-diff0
(/.f64 #s(literal -2 binary64) a)
cost-diff0
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037258
055246
193245
2153245
3233245
4330243
5517243
6998243
72071243
83096243
93440243
103565243
113581243
123590243
133598243
143664243
153692243
163692243
03692243
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
b_2
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)
(*.f64 (*.f64 #s(literal -1/2 binary64) a) c)
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
c
b_2
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))
#s(literal 1 binary64)
(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))
a
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
b_2
#s(literal -1/2 binary64)
c
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))
#s(literal -1/2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))
(log.f64 (/.f64 b_2 c))
(/.f64 b_2 c)
b_2
c
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
c
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
b_2
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (*.f64 #s(literal -1/2 binary64) a) c)
(*.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
c
b_2
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(literal 1 binary64)
(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))
a
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(/.f64 a b_2)
b_2
#s(literal -1/2 binary64)
c
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
#s(literal -1/2 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
(/.f64 c b_2)
(*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 b_2 c)))
(log.f64 (/.f64 b_2 c))
(/.f64 b_2 c)
b_2
c
#s(literal -1 binary64)

localize103.0ms (1.5%)

Memory
-27.9MiB live, 136.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))
accuracy2.0229230757635075
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
accuracy9.443197754065235
(log.f64 (/.f64 b_2 c))
accuracy21.38850606853845
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
accuracy0.13749872009701705
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))
accuracy1.6928627901839868
(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))
accuracy1.7406861566773304
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy21.35871654027134
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) a)
accuracy1.7481357595627176
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
accuracy3.3946128335779138
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)
accuracy21.35871654027134
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))
accuracy0.0
(/.f64 #s(literal -2 binary64) a)
accuracy0.09375
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy21.952404280487848
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) b_2)
accuracy0.10546875
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
accuracy21.38850606853845
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
Samples
38.0ms122×0invalid
20.0ms88×0valid
11.0ms21×2valid
7.0ms17×1valid
5.0ms3valid
Compiler

Compiled 456 to 70 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 16.0ms (33.6% of total)
ival-div: 14.0ms (29.4% of total)
ival-sub: 4.0ms (8.4% of total)
ival-sqrt: 3.0ms (6.3% of total)
ival-exp: 3.0ms (6.3% of total)
ival-log: 3.0ms (6.3% of total)
adjust: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series143.0ms (2.2%)

Memory
4.5MiB live, 197.9MiB allocated
Counts
20 → 105
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 #s(literal -2 binary64) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)
(*.f64 (*.f64 #s(literal -1/2 binary64) a) c)
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))
(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) a)
(log.f64 (/.f64 b_2 c))
Outputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/ -2 a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (* a c))
(* -1/2 (/ a b_2))
(* a (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* -1/16 (/ (* a (pow c 2)) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(* -1/2 a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow a 2)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* a b_2) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) a)) (* -1 (/ (* a b_2) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(/ -1/2 b_2)
(- (* -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 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(/ c b_2)
(* -1 (+ (log b_2) (log (/ 1 c))))
(+ (log b_2) (log (/ 1 c)))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(/ (+ (* -1/2 a) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 a) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 a) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/32 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* -1/128 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))) b_2)
(* -1 (+ (log (/ 1 c)) (* -1 (log (/ 1 b_2)))))
(+ (log (/ 1 c)) (* -1 (log (/ 1 b_2))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 (/ b_2 c))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))) (pow b_2 4))) (* 2 (/ 1 c))) (* 1/2 (/ a (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b_2 6))) (* 2 (/ 1 c))) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) c) (pow b_2 4))) (* 1/2 (/ a (pow b_2 2))))))))
(* -1 (+ (log (/ -1 c)) (* -1 (log (/ -1 b_2)))))
(+ (log (/ -1 c)) (* -1 (log (/ -1 b_2))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/16 (/ (pow a 3) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7))))))))))
(* -1 (+ (log b_2) (* -1 (log c))))
(+ (log b_2) (* -1 (log c)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b_2 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b_2 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) a))) c)) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c))) c))) c))
(* -1 (+ (log (* -1 b_2)) (log (/ -1 c))))
(+ (log (* -1 b_2)) (log (/ -1 c)))
Calls

9 calls:

TimeVariablePointExpression
41.0ms
b_2
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ 1 (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (exp (* (log (/ b_2 c)) -1))) (* -1/2 a) (log (/ b_2 c)))
39.0ms
b_2
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ 1 (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (exp (* (log (/ b_2 c)) -1))) (* -1/2 a) (log (/ b_2 c)))
18.0ms
c
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ 1 (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (exp (* (log (/ b_2 c)) -1))) (* -1/2 a) (log (/ b_2 c)))
16.0ms
c
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ 1 (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (exp (* (log (/ b_2 c)) -1))) (* -1/2 a) (log (/ b_2 c)))
9.0ms
b_2
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* b_2 (/ -2 a)) (/ -2 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ 1 (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (exp (* (log (/ b_2 c)) -1))) (* -1/2 a) (log (/ b_2 c)))

simplify173.0ms (2.6%)

Memory
32.5MiB live, 183.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06842894
121192719
272512684
083662577
Stop Event
iter limit
node limit
Counts
105 → 105
Calls
Call 1
Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/ -2 a)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (* a c))
(* -1/2 (/ a b_2))
(* a (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* -1/16 (/ (* a (pow c 2)) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(* -1/2 a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow a 2)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* a b_2) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) a)) (* -1 (/ (* a b_2) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(/ -1/2 b_2)
(- (* -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 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(/ c b_2)
(* -1 (+ (log b_2) (log (/ 1 c))))
(+ (log b_2) (log (/ 1 c)))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(/ (+ (* -1/2 a) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 a) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 a) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/32 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* -1/128 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))) b_2)
(* -1 (+ (log (/ 1 c)) (* -1 (log (/ 1 b_2)))))
(+ (log (/ 1 c)) (* -1 (log (/ 1 b_2))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 (/ b_2 c))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))) (pow b_2 4))) (* 2 (/ 1 c))) (* 1/2 (/ a (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b_2 6))) (* 2 (/ 1 c))) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) c) (pow b_2 4))) (* 1/2 (/ a (pow b_2 2))))))))
(* -1 (+ (log (/ -1 c)) (* -1 (log (/ -1 b_2)))))
(+ (log (/ -1 c)) (* -1 (log (/ -1 b_2))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/16 (/ (pow a 3) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7))))))))))
(* -1 (+ (log b_2) (* -1 (log c))))
(+ (log b_2) (* -1 (log c)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 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)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b_2 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b_2 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) a))) c)) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c))) c))) c))
(* -1 (+ (log (* -1 b_2)) (log (/ -1 c))))
(+ (log (* -1 b_2)) (log (/ -1 c)))
Outputs
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal 1/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (*.f64 a #s(literal 1/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2))
(* -1/2 (/ (* a c) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2))
(* -1/2 (* a c))
(*.f64 #s(literal -1/2 binary64) (*.f64 c a))
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* a (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(*.f64 (fma.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) a)
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* -1/16 (/ (* a (pow c 2)) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (/.f64 #s(literal -1/2 binary64) b_2)) a)
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 7 binary64))) (*.f64 #s(literal -5/128 binary64) a) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (/.f64 #s(literal -1/2 binary64) b_2)) a)
(* -1/2 a)
(*.f64 #s(literal -1/2 binary64) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) 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 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) a)
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))))) a)
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(/.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(-.f64 (/.f64 (neg.f64 b_2) c) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow a 2)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) c) b_2 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 a a)) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) c)) (/.f64 (*.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) a) a) c) (*.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (/.f64 b_2 c) #s(literal 1 binary64))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.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) (neg.f64 a)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 b_2 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) a)) (neg.f64 a)))
(* (sqrt (* a c)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 b_2 a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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 (neg.f64 a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.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 b_2)) (neg.f64 a))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.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 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (neg.f64 a)) b_2) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))
(* (sqrt (/ a c)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* a b_2) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 a (/.f64 b_2 c))) a))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) a)) (* -1 (/ (* a b_2) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 a (/.f64 b_2 c) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) c) (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 a))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 #s(literal -1 binary64) a)) b_2))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) b_2 (/.f64 #s(literal -1 binary64) a)) b_2 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(/ -1/2 b_2)
(/.f64 #s(literal -1/2 binary64) b_2)
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b_2))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) b_2 #s(literal -1 binary64)) b_2 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) b_2 (/.f64 #s(literal -1 binary64) c)) b_2 (/.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))))
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(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (-.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) c)
(/.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) c))) (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 b_2 #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b_2 c) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(neg.f64 (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 b_2) a)) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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)))) (neg.f64 c)) (/.f64 b_2 a)) c))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.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 b_2)) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (neg.f64 c) (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (neg.f64 c)) b_2) c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) c))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)) b_2) (neg.f64 c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b_2 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c))) c))) c))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) (/.f64 #s(literal -1/2 binary64) c) (*.f64 c b_2))) c))) (neg.f64 c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b_2 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) a))) c)) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c))) c))) c))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 c b_2 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 c (/.f64 c a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))))) (neg.f64 c))) c))) c))) (neg.f64 c))
(* -1 (+ (log (* -1 b_2)) (log (/ -1 c))))
(neg.f64 (+.f64 (log.f64 (neg.f64 b_2)) (log.f64 (/.f64 #s(literal -1 binary64) c))))
(+ (log (* -1 b_2)) (log (/ -1 c)))
(+.f64 (log.f64 (neg.f64 b_2)) (log.f64 (/.f64 #s(literal -1 binary64) c)))

rewrite130.0ms (1.9%)

Memory
-10.9MiB live, 103.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037228
055216
1173213
2945204
08865204
Stop Event
iter limit
node limit
iter limit
Counts
20 → 587
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 #s(literal -2 binary64) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)
(*.f64 (*.f64 #s(literal -1/2 binary64) a) c)
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))
(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) a)
(log.f64 (/.f64 b_2 c))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 b_2 b_2)) b_2)
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 b_2 b_2))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (pow.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
(*.f64 (/.f64 c #s(literal -2 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (pow.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c #s(literal -2 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) b_2) c) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64)) b_2)
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal -1 binary64)) b_2)
(/.f64 (/.f64 c #s(literal -2 binary64)) b_2)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) b_2)
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 (/.f64 c b_2) #s(literal -2 binary64))
(/.f64 (neg.f64 c) (*.f64 #s(literal 2 binary64) b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) b_2) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) b_2) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) b_2) c))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 c (*.f64 #s(literal 2 binary64) b_2))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) b_2)
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 b_2 b_2))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) b_2) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) b_2) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) b_2) #s(literal -1 binary64))
(/.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) b_2)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) b_2))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) b_2))
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) b_2)
(neg.f64 (/.f64 #s(literal 1/2 binary64) b_2))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) b_2))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) b_2)) #s(literal -1 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal 2 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) b_2))
(*.f64 (*.f64 #s(literal 2 binary64) b_2) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 #s(literal 2 binary64) b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 a) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 #s(literal 2 binary64) a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) b_2) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(/.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 a))
(/.f64 (*.f64 #s(literal 2 binary64) b_2) a)
(/.f64 (/.f64 b_2 a) #s(literal 1/2 binary64))
(/.f64 (/.f64 b_2 a) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a))
(/.f64 b_2 (*.f64 #s(literal 1/2 binary64) a))
(/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b_2))
(neg.f64 (*.f64 (/.f64 b_2 a) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 #s(literal -2 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64))
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))
(/.f64 #s(literal -2 binary64) a)
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) a)))
(neg.f64 (/.f64 #s(literal 2 binary64) a))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) a))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a))))
(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a)) a) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) a)) a) #s(literal 1/2 binary64)))
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(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) b_2) c) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64)) b_2)
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal -1 binary64)) b_2)
(/.f64 (/.f64 c #s(literal -2 binary64)) b_2)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) b_2)
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 (/.f64 c b_2) #s(literal -2 binary64))
(/.f64 (neg.f64 c) (*.f64 #s(literal 2 binary64) b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) b_2) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) b_2) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) b_2) c))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(/.f64 c (*.f64 #s(literal 2 binary64) b_2))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
(*.f64 (neg.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) a)
(*.f64 a #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) a) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(/.f64 (neg.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64)))
(/.f64 a #s(literal -2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) a))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 b_2 c))))
(*.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (pow.f64 (log.f64 c) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 c) (log.f64 (*.f64 b_2 c)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 c b_2)))
(/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 c)) (log.f64 (neg.f64 c)))) (+.f64 (log.f64 b_2) (log.f64 (neg.f64 c))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 c b_2)) (log.f64 (/.f64 c b_2)))) (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 c b_2))))
(/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 c)) (neg.f64 (log.f64 c)))) (-.f64 (log.f64 b_2) (neg.f64 (log.f64 c))))
(/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 c)) #s(literal 3 binary64))) (fma.f64 (log.f64 b_2) (log.f64 b_2) (fma.f64 (log.f64 (neg.f64 c)) (log.f64 (neg.f64 c)) (*.f64 (log.f64 b_2) (log.f64 (neg.f64 c))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 c b_2)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 c b_2)) (log.f64 (/.f64 c b_2)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 c b_2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 c)) #s(literal 3 binary64))) (fma.f64 (log.f64 b_2) (log.f64 b_2) (-.f64 (*.f64 (neg.f64 (log.f64 c)) (neg.f64 (log.f64 c))) (*.f64 (log.f64 b_2) (neg.f64 (log.f64 c))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 b_2 c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (pow.f64 (log.f64 c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 c) (log.f64 (*.f64 b_2 c)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64))) (log.f64 (*.f64 b_2 c)))
(/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (pow.f64 (log.f64 c) #s(literal 3 binary64))) (fma.f64 (log.f64 c) (log.f64 (*.f64 b_2 c)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 b_2 c)) (-.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 c) (log.f64 (*.f64 b_2 c)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (pow.f64 (log.f64 c) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 c b_2)))
(fma.f64 #s(literal -1 binary64) (log.f64 c) (log.f64 b_2))
(-.f64 (/.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (log.f64 (*.f64 b_2 c))) (/.f64 (pow.f64 (log.f64 c) #s(literal 2 binary64)) (log.f64 (*.f64 b_2 c))))
(-.f64 (/.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (fma.f64 (log.f64 c) (log.f64 (*.f64 b_2 c)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 c) #s(literal 3 binary64)) (fma.f64 (log.f64 c) (log.f64 (*.f64 b_2 c)) (pow.f64 (log.f64 b_2) #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 c b_2)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 c b_2)))
(-.f64 (log.f64 b_2) (log.f64 (neg.f64 c)))
(-.f64 (log.f64 b_2) (log.f64 c))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 b_2 c)))
(+.f64 (neg.f64 (log.f64 c)) (log.f64 b_2))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 b_2 c)))
(+.f64 (log.f64 b_2) (neg.f64 (log.f64 (neg.f64 c))))
(+.f64 (log.f64 b_2) (log.f64 (/.f64 #s(literal -1 binary64) c)))
(+.f64 (log.f64 b_2) (neg.f64 (log.f64 c)))
(log.f64 (/.f64 b_2 c))

eval63.0ms (0.9%)

Memory
5.6MiB live, 78.3MiB allocated
Compiler

Compiled 14 395 to 2 114 computations (85.3% saved)

prune57.0ms (0.8%)

Memory
-1.8MiB live, 52.2MiB allocated
Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New50811519
Fresh3811
Picked235
Done178
Total51429543
Accuracy
91.4%
Counts
543 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(/.f64 (/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 a c)) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) b_2))
51.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
33.1%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
28.3%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
24.0%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2) (*.f64 #s(literal 1/2 binary64) a)) c)) (neg.f64 b_2))) a)
11.7%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 c a))) a)
22.4%
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
24.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
35.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 (/.f64 (/.f64 a b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) (neg.f64 b_2))))
24.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
34.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
31.0%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
2.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 2 binary64) b_2) a))
2.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
34.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
34.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
34.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
16.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #s(literal -2 binary64)))
2.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
34.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
17.5%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)))))
16.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64)))))
18.0%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 b_2 c)))))
35.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
21.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (/.f64 c b_2)))))
11.7%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
Compiler

Compiled 1 621 to 682 computations (57.9% saved)

regimes49.0ms (0.7%)

Memory
13.0MiB live, 50.4MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 2 binary64) b_2) a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) 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 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))
(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 c a)) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(/.f64 (-.f64 (*.f64 a b_2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) (*.f64 a a))
(/.f64 (/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (*.f64 a c)) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (*.f64 c c) b_2) (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 (/.f64 (/.f64 a b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)) (neg.f64 b_2))))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) a)
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (* 1/2 a) c) (* (* 1/8 (* a a)) (* c (/ (/ c b_2) b_2)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 a a) c) b_2) (*.f64 #s(literal 1/2 binary64) a)) c)) (neg.f64 b_2))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) c (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64)))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (log.f64 (/.f64 c b_2)))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) a) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))) #s(literal -1 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 b_2 c)))))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Calls

4 calls:

15.0ms
c
11.0ms
b_2
11.0ms
a
10.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
55.9%3a
84.6%3b_2
54.6%3c
75.8%5(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes10.0ms (0.2%)

Memory
-26.6MiB live, 11.3MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 2 binary64) b_2) a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Calls

1 calls:

9.0ms
b_2
Results
AccuracySegmentsBranch
80.4%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 2 binary64) b_2) a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Calls

2 calls:

5.0ms
b_2
5.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
52.3%3(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
67.6%2b_2
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes7.0ms (0.1%)

Memory
-27.3MiB live, 11.6MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 2 binary64) b_2) a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
Calls

1 calls:

6.0ms
b_2
Results
AccuracySegmentsBranch
67.5%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 2 binary64) b_2) a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 c a))) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
Calls

1 calls:

5.0ms
b_2
Results
AccuracySegmentsBranch
67.3%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
Calls

1 calls:

2.0ms
b_2
Results
AccuracySegmentsBranch
67.2%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
-25.7MiB live, 17.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Calls

4 calls:

1.0ms
c
1.0ms
b_2
1.0ms
a
1.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
35.1%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.1%1c
35.1%1a
35.1%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes5.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
c
1.0ms
a
1.0ms
b_2
1.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
11.7%1c
11.7%1a
11.7%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
11.7%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch35.0ms (0.5%)

Memory
20.2MiB live, 59.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
6.07097023955603e+101
3.1062474708409818e+106
18.0ms
-5.405384555891977e-60
-3.349056725877267e-62
Samples
12.0ms192×0valid
5.0ms25×2valid
3.0ms23×1valid
1.0ms22×0invalid
Compiler

Compiled 536 to 430 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 4.0ms (28.5% of total)
ival-sub: 3.0ms (21.4% of total)
ival-div: 2.0ms (14.2% of total)
ival-sqrt: 2.0ms (14.2% of total)
adjust: 1.0ms (7.1% of total)
ival-neg: 1.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
-21.5MiB live, 17.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.8208416092238076e-39
3.032958669027324e-34
1.0ms
-5.405384555891977e-60
-3.349056725877267e-62
Samples
9.0ms144×0valid
2.0ms27×0invalid
Compiler

Compiled 653 to 507 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (28% of total)
ival-mult: 2.0ms (28% of total)
ival-div: 1.0ms (14% of total)
ival-sqrt: 1.0ms (14% of total)
ival-neg: 1.0ms (14% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-2.0751692925795853e-304
3.680119448944765e-303
Samples
10.0ms160×0valid
5.0ms80×0invalid
Compiler

Compiled 446 to 346 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (30.6% of total)
ival-sub: 2.0ms (20.4% of total)
ival-div: 2.0ms (20.4% of total)
ival-sqrt: 2.0ms (20.4% of total)
ival-neg: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
-2.0751692925795853e-304
3.680119448944765e-303
Compiler

Compiled 446 to 346 computations (22.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-2.0751692925795853e-304
3.680119448944765e-303
Compiler

Compiled 396 to 316 computations (20.2% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-2.0751692925795853e-304
3.680119448944765e-303
Compiler

Compiled 396 to 316 computations (20.2% saved)

simplify78.0ms (1.2%)

Memory
-31.2MiB live, 46.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065361
1100361
2151361
3238361
4345361
5602361
62322361
75644361
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -8973886915892005/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 27000000000000000624639595658910267640831138301297792096851180612727812244922197791873116476359317349466112 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -8973886915892005/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 5555296335638847/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
Outputs
(if (<=.f64 b_2 #s(literal -8973886915892005/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 27000000000000000624639595658910267640831138301297792096851180612727812244922197791873116476359317349466112 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -8973886915892005/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 27000000000000000624639595658910267640831138301297792096851180612727812244922197791873116476359317349466112 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -8973886915892005/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 5555296335638847/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -8973886915892005/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 5555296335638847/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 a)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

soundness460.0ms (6.9%)

Memory
13.6MiB live, 203.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05282732
116572699
256112679
082182554
0158410350
153659876
093509546
034187
053187
1221185
21656185
08682185
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 509 to 208 computations (59.1% saved)

preprocess60.0ms (0.9%)

Memory
29.5MiB live, 67.7MiB allocated
Compiler

Compiled 926 to 204 computations (78% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...