quad2m (problem 3.2.1, negative)

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze147.0ms (2.1%)

Memory
23.0MiB live, 178.1MiB 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)

sample1.9s (27%)

Memory
-61.6MiB live, 1 892.0MiB allocated
Samples
516.0ms5 539×0valid
314.0ms1 161×2valid
275.0ms1 391×1valid
112.0ms1 128×0invalid
40.0ms165×3valid
Precisions
Click to see histograms. Total time spent on operations: 818.0ms
ival-mult: 262.0ms (32% of total)
ival-sub: 157.0ms (19.2% of total)
ival-sqrt: 136.0ms (16.6% of total)
ival-div: 110.0ms (13.5% of total)
adjust: 77.0ms (9.4% of total)
ival-neg: 64.0ms (7.8% of total)
ival-true: 8.0ms (1% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain167.0ms (2.3%)

Memory
-1.6MiB live, 170.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1090-2(-1.1933592945284687e-273 -5.213354867204614e-159 2.4182341255015186e-71)(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
620-0-(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
170-1(-5.672874812703622e-43 -2.52724430927588e-25 6.262759646699575e-299)(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
10-0-(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
00-0-(*.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-rescue1030
(*.f64 b_2 b_2)overflow86
(*.f64 a c)overflow21
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))overflow103
-.f64(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))cancellation620
/.f64(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)u/n160
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))underflow30
(*.f64 b_2 b_2)underflow41
(*.f64 a c)underflow35
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow4
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))uflow-rescue40
(*.f64 b_2 b_2)underflow41
(*.f64 a c)underflow35
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))underflow4
-.f64(-.f64 (*.f64 b_2 b_2) (*.f64 a c))nan-rescue10
(*.f64 b_2 b_2)overflow86
(*.f64 a c)overflow21
Confusion
Predicted +Predicted -
+1261
-25104
Precision
0.8344370860927153
Recall
0.9921259842519685
Confusion?
Predicted +Predicted MaybePredicted -
+12601
-250104
Precision?
0.8344370860927153
Recall?
0.9921259842519685
Freqs
test
numberfreq
0105
1117
233
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms330×0valid
21.0ms96×2valid
11.0ms78×1valid
2.0ms3valid
Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-neg: 20.0ms (35% of total)
ival-mult: 10.0ms (17.5% of total)
ival-sub: 8.0ms (14% of total)
ival-div: 7.0ms (12.3% of total)
ival-sqrt: 6.0ms (10.5% of total)
adjust: 5.0ms (8.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess114.0ms (1.6%)

Memory
15.0MiB live, 52.6MiB 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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.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)

simplify30.0ms (0.4%)

Memory
-16.7MiB live, 19.4MiB 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

localize46.0ms (0.6%)

Memory
-15.4MiB live, 70.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.21093750000000003
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
accuracy3.696428008816685
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
accuracy14.262681029642971
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
accuracy25.189374421539622
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Samples
18.0ms165×0valid
10.0ms48×2valid
6.0ms39×1valid
1.0ms3valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sub: 8.0ms (36.5% of total)
ival-mult: 4.0ms (18.3% of total)
ival-div: 3.0ms (13.7% of total)
ival-sqrt: 3.0ms (13.7% of total)
adjust: 2.0ms (9.1% of total)
ival-neg: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB 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
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)))
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)))

simplify224.0ms (3.1%)

Memory
32.3MiB live, 212.6MiB 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)
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rewrite261.0ms (3.7%)

Memory
-26.3MiB live, 262.6MiB 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)))))

eval96.0ms (1.3%)

Memory
23.8MiB live, 174.6MiB allocated
Compiler

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

prune19.0ms (0.3%)

Memory
-20.3MiB live, 54.8MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New50912521
Fresh000
Picked011
Done000
Total50913522
Accuracy
92.7%
Counts
522 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.0%
(/.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))
25.4%
(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) a)
53.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.0%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
28.4%
(/.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)
33.3%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
25.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
25.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
15.2%
(*.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)))
33.2%
#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))))
35.8%
#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)))
33.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
37.5%
#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 485 to 344 computations (29.1% saved)

simplify170.0ms (2.4%)

Memory
33.1MiB live, 71.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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-diff2
(/.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
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff0
(neg.f64 b_2)
cost-diff0
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
cost-diff0
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) 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 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: 2 (0.0ms)

IterNodesCost
038253
060253
1103253
2187251
3353251
4593251
51037251
61947251
73711251
84608251
94695251
104712251
114725251
124758251
134798251
144814251
154814251
164814251
174918251
185508251
05508251
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 #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)
(/.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 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
a
c
(/.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)
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 c b_2) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
#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)
(/.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 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) (neg.f64 a))
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(neg.f64 b_2)
b_2
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(*.f64 (neg.f64 a) c)
(neg.f64 a)
a
c
(/.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)

localize92.0ms (1.3%)

Memory
-24.6MiB live, 131.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy0.08984375
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
accuracy0.49999449521112044
(fma.f64 c a (*.f64 b_2 b_2))
accuracy4.6542918799458715
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy0.0078125
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy0.03219989837294121
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy0.1015625
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy4.6542918799458715
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy0.0
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy0.1015625
(/.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)
accuracy1.691293858144833
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy20.382686639104058
#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 b_2 a)
accuracy0.0078125
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy20.17145120165593
#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))
accuracy20.362041992973552
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
Samples
36.0ms172×0invalid
22.0ms84×0valid
Compiler

Compiled 213 to 31 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 12.0ms (33.3% of total)
ival-div: 9.0ms (25% of total)
ival-sqrt: 7.0ms (19.4% of total)
ival-sub: 3.0ms (8.3% of total)
ival-neg: 3.0ms (8.3% of total)
ival-add: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series64.0ms (0.9%)

Memory
-0.8MiB live, 120.3MiB allocated
Counts
20 → 227
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)
(/.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 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
(/.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))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(fma.f64 c a (*.f64 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)
(/ b_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 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))))))))
(/ (- 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)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* 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 (* (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))))))
(* 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)))))
(* 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))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a c)
(* 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 (* 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)))))))
(* (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 (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -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))
(/ 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)))
(* -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)))))))))
(+ (* -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)))))))))
(- (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)))))))
(/ (* 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) (+ 1 (* -1 (/ (* a c) (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 (/ (- (* 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))))))))
(/ (* 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))))))))
(+ (* -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))))))))
(- (+ (* -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))))))))
(* 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 (+ (* -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 (- (/ (pow b_2 2) c) a))
(* 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 (- (/ 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 (* (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 (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
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) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (- (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))) (/ 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) (* a c)) (+ (* c a) (* b_2 b_2)))
10.0ms
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) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (- (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))) (/ 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) (* a c)) (+ (* c a) (* b_2 b_2)))
8.0ms
c
@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) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (- (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))) (/ 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) (* a c)) (+ (* c a) (* b_2 b_2)))
6.0ms
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) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (- (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))) (/ 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) (* a c)) (+ (* c a) (* b_2 b_2)))
6.0ms
c
@-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) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ (- (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))) (/ 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) (* a c)) (+ (* c a) (* b_2 b_2)))

simplify294.0ms (4.1%)

Memory
-40.9MiB live, 230.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012567967
141947701
083237409
Stop Event
iter limit
node limit
Counts
227 → 226
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)
(* -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))
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))))))))
(/ (- 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)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* 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 (* (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))))))
(* 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)))))
(* 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))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a c)
(* 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 (* 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)))))))
(* (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 (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -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))
(/ 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)))
(* -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)))))))))
(+ (* -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)))))))))
(- (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)))))))
(/ (* 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) (+ 1 (* -1 (/ (* a c) (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 (/ (- (* 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))))))))
(/ (* 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))))))))
(+ (* -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))))))))
(- (+ (* -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))))))))
(* 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 (+ (* -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 (- (/ (pow b_2 2) c) a))
(* 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 (- (/ 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 (* (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 (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) 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)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2))
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(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 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)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (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 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)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 b_2 a) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) c)) c))))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) c))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) 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))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.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) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) 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 (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -1 binary64) 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)))

rewrite227.0ms (3.2%)

Memory
48.4MiB live, 158.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038217
060217
1210215
21356215
08327215
Stop Event
iter limit
node limit
iter limit
Counts
20 → 697
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)
(/.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 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(neg.f64 b_2)
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
(/.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))))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
(fma.f64 c a (*.f64 b_2 b_2))
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 #s(literal -1/2 binary64) b_2) (/.f64 (neg.f64 c) #s(literal -1 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) 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 1/2 binary64) (neg.f64 (/.f64 b_2 c)))
(/.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) (/.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 (*.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 (/.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)))
(*.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 b_2 #s(literal 1 binary64)))
(*.f64 (/.f64 b_2 #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) a))
(*.f64 (*.f64 #s(literal -2 binary64) b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 b_2) a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b_2) a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 b_2 (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 a b_2)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (neg.f64 b_2) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) (neg.f64 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (neg.f64 b_2))
(*.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)) b_2)
(*.f64 #s(literal -1 binary64) (/.f64 b_2 (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a))
(*.f64 #s(literal 1 binary64) (/.f64 b_2 a))
(*.f64 (neg.f64 b_2) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal 1 binary64))
(*.f64 b_2 (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 a b_2) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 a) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 0 binary64) a) (fma.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 b_2 (neg.f64 a)) (*.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b_2 (neg.f64 a))))))
(/.f64 (neg.f64 (/.f64 b_2 #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b_2))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))))
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(*.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
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(*.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 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.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 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 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))
(*.f64 #s(literal -1 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))))) (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))
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(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))
(/.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))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a) (*.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 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))))) (pow.f64 a #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 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)))) (*.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)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (-.f64 (*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 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))))))) (*.f64 (/.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))))))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.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) (-.f64 (*.f64 b_2 b_2) (neg.f64 (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 #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 (neg.f64 a) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(/.f64 (*.f64 #s(literal -1 binary64) (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))))) (*.f64 (neg.f64 a) (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 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) (*.f64 (neg.f64 a) (-.f64 b_2 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 b_2 b_2) (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 #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 (neg.f64 a) (fma.f64 b_2 b_2 (-.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 b_2 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 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 (neg.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 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b_2 b_2) (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 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 (/.f64 a #s(literal 1 binary64)) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (*.f64 a (neg.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))))
(/.f64 (*.f64 #s(literal 1 binary64) (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))))) (*.f64 (neg.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 #s(literal 1 binary64) (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))))) (*.f64 (/.f64 a #s(literal 1 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 (*.f64 #s(literal 1 binary64) (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))))) (*.f64 a (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 (*.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (/.f64 a #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) a))
(/.f64 (*.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)))) #s(literal -1 binary64)) (*.f64 (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)))))) (neg.f64 a)))
(/.f64 (*.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)))) #s(literal 1 binary64)) (*.f64 (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 a #s(literal 1 binary64))))
(/.f64 (*.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)))) #s(literal 1 binary64)) (*.f64 (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)))))) a))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (*.f64 (-.f64 b_2 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (*.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (*.f64 (-.f64 b_2 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) (/.f64 a #s(literal 1 binary64))))
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(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) (/.f64 a #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (*.f64 (+.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)) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 b_2 b_2 (-.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 b_2 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) (neg.f64 a)))
(/.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))) #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))))) (neg.f64 a)))
(/.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))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 b_2 (-.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 b_2 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) (/.f64 a #s(literal 1 binary64))))
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(-.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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(sqrt.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(*.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(*.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) (/.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (/.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (fma.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 9 binary64)) (pow.f64 b_2 #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c a) b_2) b_2))) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a))
(fma.f64 (*.f64 (neg.f64 b_2) #s(literal -1 binary64)) b_2 (*.f64 c a))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b_2) b_2) (*.f64 c a))
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 c a))
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 c a))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 c a))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 b_2 b_2 (*.f64 c a))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))
(+.f64 (*.f64 c a) (*.f64 b_2 b_2))
(+.f64 (*.f64 b_2 b_2) (*.f64 c a))

eval177.0ms (2.5%)

Memory
-6.3MiB live, 79.4MiB allocated
Compiler

Compiled 32 466 to 3 978 computations (87.7% saved)

prune126.0ms (1.8%)

Memory
-33.1MiB live, 42.9MiB allocated
Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New90116917
Fresh527
Picked235
Done011
Total90822930
Accuracy
92.7%
Counts
930 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (*.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
53.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.0%
(/.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 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
28.4%
(/.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)
11.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (+.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a)))) (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a) #s(literal 3 binary64)))))
24.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.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))))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 (neg.f64 b_2) a) (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))))
25.9%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
25.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
33.2%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
35.8%
#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)))
37.5%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
36.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
33.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
21.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b_2)) (*.f64 (neg.f64 a) (neg.f64 a))) #s(literal -2 binary64)))
10.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64)))
37.4%
#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)))
33.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
14.8%
#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)))
33.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
15.2%
#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)))))
Compiler

Compiled 1 083 to 674 computations (37.8% saved)

simplify100.0ms (1.4%)

Memory
9.5MiB live, 56.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff2
(*.f64 #s(literal 0 binary64) b_2)
cost-diff2
(+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2)))
cost-diff2
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64))
cost-diff8
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a)))
cost-diff0
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
cost-diff0
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
cost-diff0
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
cost-diff0
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
cost-diff0
(/.f64 c b_2)
cost-diff0
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.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 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
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) c)
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
cost-diff0
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047330
072266
1140263
2314261
31287261
44245261
56143261
67489261
08095255
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 #s(literal -1/2 binary64) c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
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)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
b_2
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 c b_2)
c
b_2
#s(literal 1/2 binary64)
(*.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 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
#s(literal 1 binary64)
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
a
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
b_2
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 c a)
c
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 b_2 #s(literal 3 binary64))
b_2
#s(literal 3 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))
(+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2)))
(fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))
(*.f64 #s(literal 0 binary64) b_2)
(neg.f64 a)
a
#s(literal -2 binary64)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) 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 #s(literal -1/2 binary64) c) b_2)
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
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 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
b_2
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.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 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.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 c b_2)
c
b_2
#s(literal 1/2 binary64)
(*.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 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
#s(literal 1 binary64)
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
a
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
b_2
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 c a)
c
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a)))
(/.f64 b_2 a)
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (neg.f64 b_2) #s(literal 3 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64)))
(pow.f64 (neg.f64 b_2) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 b_2 #s(literal 3 binary64))
b_2
#s(literal 3 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))
(*.f64 (*.f64 a b_2) (neg.f64 b_2))
(+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2)))
(*.f64 b_2 b_2)
(fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))
(*.f64 b_2 b_2)
(*.f64 #s(literal 0 binary64) b_2)
#s(literal 0 binary64)
(neg.f64 a)
a
#s(literal -2 binary64)

localize179.0ms (2.5%)

Memory
14.5MiB live, 92.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64))
accuracy2.2687057318986867
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))
accuracy12.61033641204985
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a)))
accuracy20.17145120165593
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64)))
accuracy0.032218466849389005
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
accuracy0.06640625
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
accuracy0.08984375
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
accuracy4.6542918799458715
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
accuracy0.0
(/.f64 c b_2)
accuracy0.0
(/.f64 b_2 a)
accuracy0.0078125
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy20.28858073851772
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
accuracy0.0
(/.f64 #s(literal -2 binary64) a)
accuracy0.0703125
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy20.17145120165593
#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 (*.f64 #s(literal -1/2 binary64) c) b_2)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) c)
accuracy20.362041992973552
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
Samples
98.0ms172×0invalid
55.0ms84×0valid
Compiler

Compiled 269 to 44 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-neg: 36.0ms (44.6% of total)
ival-mult: 15.0ms (18.6% of total)
ival-div: 12.0ms (14.9% of total)
ival-sub: 5.0ms (6.2% of total)
ival-add: 4.0ms (5% of total)
ival-pow: 4.0ms (5% of total)
ival-sqrt: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.9%)

Memory
-5.3MiB live, 30.7MiB allocated
Counts
23 → 172
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) 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))
(/.f64 #s(literal -2 binary64) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 c b_2)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2)))
(*.f64 #s(literal 0 binary64) b_2)
(/.f64 b_2 a)
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64))
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)
(/ (- 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)))
(/ b_2 a)
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(* -1 (* a (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 (/ 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 (/ (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)))
(* (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 (+ (* -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 (* (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 (pow b_2 3))
0
(* 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) (+ 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)))))
(/ (* 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))))))))
(+ (* -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)
(- (+ (* -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))))))))
(* 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 (/ (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 (+ (* -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 (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
Calls

9 calls:

TimeVariablePointExpression
44.0ms
b_2
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (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) (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/ c b_2) (* (/ b_2 a) -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)))) (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) (* (- 0 (pow b_2 3)) 1) (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (* 0 b_2) (/ b_2 a) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a)) (* (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) -2))
3.0ms
b_2
@-inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (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) (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/ c b_2) (* (/ b_2 a) -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)))) (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) (* (- 0 (pow b_2 3)) 1) (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (* 0 b_2) (/ b_2 a) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a)) (* (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) -2))
2.0ms
b_2
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (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) (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/ c b_2) (* (/ b_2 a) -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)))) (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) (* (- 0 (pow b_2 3)) 1) (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (* 0 b_2) (/ b_2 a) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a)) (* (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) -2))
2.0ms
a
@0
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (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) (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/ c b_2) (* (/ b_2 a) -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)))) (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) (* (- 0 (pow b_2 3)) 1) (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (* 0 b_2) (/ b_2 a) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a)) (* (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) -2))
2.0ms
a
@inf
((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (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) (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/ c b_2) (* (/ b_2 a) -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)))) (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) (* (- 0 (pow b_2 3)) 1) (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (* 0 b_2) (/ b_2 a) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a)) (* (/ (* (- 0 (pow b_2 3)) 1) (* (+ 0 (+ (* b_2 b_2) (* 0 b_2))) (neg a))) -2))

simplify242.0ms (3.4%)

Memory
-13.0MiB live, 225.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010506159
134875904
083435678
Stop Event
iter limit
node limit
Counts
172 → 172
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)
(/ (- 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)))
(/ b_2 a)
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(* -1 (* a (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 (/ 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 (/ (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)))
(* (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 (+ (* -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 (* (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 (pow b_2 3))
0
(* 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) (+ 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)))))
(/ (* 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))))))))
(+ (* -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)
(- (+ (* -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))))))))
(* 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 (/ (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 (+ (* -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 (+ (* -1 a) (* -1 (/ (pow b_2 2) 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)
(/ -2 a)
(/.f64 #s(literal -2 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal -1/2 binary64) (-.f64 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 (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 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 (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 (-.f64 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))))))
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b_2 a) c))) 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))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (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 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 (/.f64 b_2 a) c)))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/.f64 (-.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 (/ (+ (* -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)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.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) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (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)))))) c) (-.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 (/ (+ (* -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)
(/.f64 (-.f64 (-.f64 (/.f64 (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) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (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)))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 c c)) a))) (neg.f64 (pow.f64 c #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 #s(literal -1 binary64))))) c)
(* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) c)
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.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 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) c)
(* 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)))))
(*.f64 (-.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) (/.f64 b_2 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)) (sqrt.f64 #s(literal -1 binary64))))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(*.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)) (sqrt.f64 #s(literal -1 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(*.f64 (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)) (sqrt.f64 #s(literal -1 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (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)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/16 binary64) (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)) (sqrt.f64 #s(literal -1 binary64)))))) c)
(* c (+ a (/ (pow b_2 2) c)))
(*.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) c) a) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b_2 a) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 b_2) a)) c))) (neg.f64 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) (/.f64 b_2 a)) c))) (neg.f64 c))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) c) (/.f64 b_2 a) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))) (* -1 (/ b_2 (* a c))))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b_2 a) c))) (neg.f64 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)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (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 b_2 a)) c))) (neg.f64 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)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 b_2 a) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) c)) c))) (neg.f64 c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 4)))) c))
(/.f64 (-.f64 (/.f64 (neg.f64 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 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))
(/.f64 (-.f64 (/.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)))))) (neg.f64 c)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 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 (-.f64 (/.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))))) (neg.f64 c)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 (-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c))
(* -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 (-.f64 (/.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) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (+ b_2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(*.f64 (-.f64 (/.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 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) c)) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (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)) (neg.f64 (sqrt.f64 #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)) (neg.f64 (sqrt.f64 #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 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 (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))))))) (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))

rewrite134.0ms (1.9%)

Memory
5.6MiB live, 238.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047278
072217
1293213
22232207
08926202
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 015
Calls
Call 1
Inputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(*.f64 #s(literal -1/2 binary64) 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))
(/.f64 #s(literal -2 binary64) a)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
(fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(/.f64 c b_2)
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2)))
(*.f64 #s(literal 0 binary64) b_2)
(/.f64 b_2 a)
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 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)))
(*.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)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64))))
(*.f64 c (*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64))) b_2)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64))) b_2)
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64))) b_2)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c))) b_2)
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c))) b_2)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64)) b_2)
(/.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) b_2)
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) c) #s(literal 1 binary64)) b_2)
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) 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 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64)))
(/.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 -1/2 binary64) c) b_2)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 c #s(literal -1/2 binary64))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (neg.f64 a)) (/.f64 #s(literal 2 binary64) (*.f64 b_2 b_2)))
(*.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 b_2 #s(literal -2 binary64)) (neg.f64 a)))
(*.f64 (*.f64 #s(literal -2 binary64) b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) b_2) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b_2 b_2))))
(*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 b_2 #s(literal -2 binary64)) (neg.f64 a)) #s(literal -2 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 (/.f64 #s(literal -1 binary64) a) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 #s(literal 2 binary64) a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(pow.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a))) (*.f64 b_2 b_2))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 b_2 b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 1 binary64))) (neg.f64 (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a)) (*.f64 b_2 b_2))
(/.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 b_2 b_2)) (neg.f64 a))
(/.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 a))
(/.f64 (*.f64 b_2 #s(literal 1 binary64)) (*.f64 a #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))
(/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 a (*.f64 b_2 b_2)))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 b_2 (neg.f64 (*.f64 a #s(literal -1/2 binary64))))
(/.f64 b_2 (*.f64 a #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (/.f64 b_2 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 -2 binary64) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal 2 binary64) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 a #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal -2 binary64) a)
(neg.f64 (/.f64 #s(literal 2 binary64) a))
(exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
(*.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) a) (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2)))) (neg.f64 (*.f64 b_2 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) a (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2)))) (neg.f64 (*.f64 b_2 a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) b_2 (*.f64 a (*.f64 #s(literal 1/2 binary64) c)))) (neg.f64 (*.f64 a b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 b_2 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a)))) (pow.f64 b_2 #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a)) (*.f64 b_2 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 b_2 b_2)))) (*.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a)) (*.f64 b_2 (*.f64 #s(literal 2 binary64) b_2))) (*.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a)) (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2))) (*.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a)) (*.f64 b_2 (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 (*.f64 b_2 #s(literal 1 binary64)))) (*.f64 b_2 (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a)) (*.f64 b_2 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (*.f64 a (*.f64 b_2 b_2))) (*.f64 b_2 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)))) (*.f64 b_2 (*.f64 a (*.f64 b_2 b_2))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) a) (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2))) (*.f64 b_2 a))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (/.f64 a (*.f64 #s(literal -2 binary64) b_2))) (*.f64 b_2 #s(literal 1 binary64))) (*.f64 b_2 (/.f64 a (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (/.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)))) (*.f64 b_2 #s(literal 1 binary64))) (*.f64 b_2 (/.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (/.f64 a b_2)) (*.f64 #s(literal -2 binary64) b_2)) (*.f64 b_2 (/.f64 a b_2)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (*.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (*.f64 b_2 b_2)) (*.f64 b_2 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a)))) (pow.f64 b_2 #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a)) (*.f64 b_2 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 b_2 b_2)))) (*.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a)) (*.f64 b_2 (*.f64 #s(literal 2 binary64) b_2))) (*.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a)) (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2))) (*.f64 b_2 (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a)) (*.f64 b_2 (*.f64 b_2 #s(literal 2 binary64)))) (*.f64 b_2 (neg.f64 a)))
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(+.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (neg.f64 a) #s(literal 0 binary64)))
(*.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (neg.f64 a)) (/.f64 #s(literal 2 binary64) (*.f64 b_2 b_2)))
(*.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 b_2 #s(literal -2 binary64)) (neg.f64 a)))
(*.f64 (*.f64 #s(literal -2 binary64) b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) b_2) (/.f64 #s(literal -1 binary64) a))
(*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 b_2 b_2))))
(*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 (/.f64 (pow.f64 b_2 #s(literal -2 binary64)) (neg.f64 a)) #s(literal -2 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 (/.f64 #s(literal -1 binary64) a) #s(literal -2 binary64)))
(*.f64 b_2 (/.f64 #s(literal 2 binary64) a))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(pow.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a))) (*.f64 b_2 b_2))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 b_2 b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 1 binary64))) (neg.f64 (*.f64 a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a)) (*.f64 b_2 b_2))
(/.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 b_2 b_2)) (neg.f64 a))
(/.f64 (*.f64 #s(literal 2 binary64) b_2) (neg.f64 a))
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 a))
(/.f64 (*.f64 b_2 #s(literal 1 binary64)) (*.f64 a #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))
(/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 a (*.f64 b_2 b_2)))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b_2 b_2)) (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(/.f64 b_2 (neg.f64 (*.f64 a #s(literal -1/2 binary64))))
(/.f64 b_2 (*.f64 a #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))

eval133.0ms (1.9%)

Memory
18.1MiB live, 254.2MiB allocated
Compiler

Compiled 35 978 to 4 276 computations (88.1% saved)

prune40.0ms (0.6%)

Memory
-20.0MiB live, 104.2MiB allocated
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New1 015151 030
Fresh7613
Picked145
Done044
Total1 023291 052
Accuracy
92.7%
Counts
1 052 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.8%
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
53.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.0%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
25.9%
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
28.3%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
28.4%
(/.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)
11.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (+.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a)))) (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a) #s(literal 3 binary64)))))
25.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 (neg.f64 b_2) a) (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))))
25.9%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
25.9%
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
33.2%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
35.8%
#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)))
1.2%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a)) (*.f64 b_2 b_2)))
10.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 a (*.f64 b_2 b_2))))
11.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
37.5%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) 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) (neg.f64 a)))
2.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 2 binary64) (/.f64 a b_2)))
11.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
21.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 a b_2)) (*.f64 a (neg.f64 a))) #s(literal -2 binary64)))
8.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b_2))) (neg.f64 a))) #s(literal -2 binary64)))
37.4%
#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)))
33.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
11.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -2 binary64)))
14.8%
#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)))
33.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
24.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
Compiler

Compiled 1 388 to 875 computations (37% saved)

simplify89.0ms (1.2%)

Memory
39.0MiB live, 117.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff2
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
cost-diff10
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
cost-diff16
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)))
cost-diff0
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
cost-diff0
(*.f64 b_2 b_2)
cost-diff0
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
cost-diff2
(-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
cost-diff0
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
cost-diff0
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
cost-diff0
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
cost-diff0
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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
(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-diff3
(/.f64 (neg.f64 c) #s(literal -1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043624
066501
1146494
2368454
31407453
45049453
57874453
08155426
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) (*.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 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
b_2
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 c a)
c
a
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
(-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(*.f64 b_2 b_2)
b_2
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 c a)
c
a
(*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2))
(+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
#s(literal 0 binary64)
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
b_2
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 c a)
c
a
(*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))
(neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
#s(literal -1 binary64)
(*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
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 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(/.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) (*.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 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
b_2
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 c a)
c
a
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
(/.f64 (/.f64 (fma.f64 b_2 b_2 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))) a) (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2))
(-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(fma.f64 b_2 b_2 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
(*.f64 b_2 b_2)
b_2
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 c a)
c
a
(*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2))
(*.f64 (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2) a)
(+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)))
(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
b_2
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 c a)
c
a
(*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
(neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
(-.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)
#s(literal -1 binary64)
(*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
(*.f64 (-.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))

localize109.0ms (1.5%)

Memory
0.1MiB live, 153.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
accuracy0.09765625
(*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
accuracy0.11328125
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)))
accuracy4.6542918799458715
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
accuracy0.05859375
(*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2))
accuracy0.49999587166041165
(-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
accuracy4.6542918799458715
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
accuracy6.789063756126705
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
accuracy0.0
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
accuracy0.032218466849389005
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
accuracy0.09765625
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
accuracy4.6542918799458715
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
accuracy0.0
(/.f64 #s(literal 2 binary64) a)
accuracy0.0703125
(*.f64 b_2 (/.f64 #s(literal 2 binary64) a))
accuracy20.191161693724727
#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)
accuracy0.0
(neg.f64 c)
accuracy0.06640625
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
accuracy20.362041992973552
#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
51.0ms172×0invalid
20.0ms84×0valid
Compiler

Compiled 479 to 40 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 13.0ms (32.6% of total)
ival-div: 11.0ms (27.6% of total)
ival-sub: 6.0ms (15% of total)
ival-neg: 4.0ms (10% of total)
ival-sqrt: 3.0ms (7.5% of total)
ival-add: 2.0ms (5% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series70.0ms (1%)

Memory
-27.3MiB live, 92.5MiB allocated
Counts
22 → 307
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) (*.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 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
(-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
(*.f64 b_2 b_2)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)))
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) b_2)
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2))
(*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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)
(* 2 (/ b_2 a))
(/ 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)
(- 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)))
(* -1 (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(* 2 (pow b_2 2))
(+ (* 2 (pow b_2 2)) (* a c))
(* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1))))))
(/ (+ (* 2 (/ (pow b_2 2) (+ b_2 (* b_2 (sqrt -1))))) (* a (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (+ b_2 (* b_2 (sqrt -1))))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ c (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (+ b_2 (* b_2 (sqrt -1))))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (* b_2 (+ b_2 (* b_2 (sqrt -1)))))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* (pow b_2 3) (+ b_2 (* b_2 (sqrt -1)))))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ c (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) 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))))))
0
(- (* b_2 (sqrt -1)) b_2)
(- (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* -1 (- (* 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)))) (* -1 (- (* 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)))) (* -1 (- (* b_2 (sqrt -1)) b_2)))
(pow b_2 2)
(+ (* a c) (pow b_2 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 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))))
(* a (+ 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)))))
(/ (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2)) a)
(/ (+ (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) b_2)) (* 1/2 (/ (* c (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) b_2)))) (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2))) a)
(/ (+ (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) b_2)) (+ (* 1/2 (/ (* c (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) b_2)) (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (pow b_2 2))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 3))) (* 1/8 (/ (* (pow c 2) (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 3))))))))) (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2))) a)
(/ (+ (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) b_2)) (+ (* 1/2 (/ (* c (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) b_2)) (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (pow b_2 2))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 3))) (+ (* 1/8 (/ (* (pow c 2) (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 3))) (* a (+ (* -1/16 (/ (* (pow c 3) (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 5))) (+ (* 1/16 (/ (* (pow c 3) (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 5))) (* 1/8 (/ (* (pow c 3) (pow (sqrt -1) 2)) (pow b_2 4))))))))))))) (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_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 (/ 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)) (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))))))
(* -1 (* a c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* a c)
(* a (+ c (* 2 (/ (pow b_2 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)))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))) (pow a 2))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 2))))) c))) (pow a 3))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))) (/ b_2 (pow (sqrt -1) 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))))))
(* a (- (* -1 (/ b_2 a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* a (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))
(* a (- (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)))))
(* a (+ c (/ (pow b_2 2) a)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* -1 (* c (pow (sqrt -1) 2)))
(* a (+ (* -1 (/ (* c (pow (sqrt -1) 2)) a)) (* 2 (* (sqrt (/ c (pow a 3))) (* b_2 (sqrt -1))))))
(* a (+ (* -1 (/ (* c (pow (sqrt -1) 2)) a)) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) (pow a 2))) (+ (* -1 (/ (pow b_2 2) (pow a 2))) (* 2 (* (sqrt (/ c (pow a 3))) (* b_2 (sqrt -1))))))))
(* a (+ (* -1 (/ (* c (pow (sqrt -1) 2)) a)) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) (pow a 2))) (+ (* -1 (/ (pow b_2 2) (pow a 2))) (+ (* 2 (* (sqrt (/ c (pow a 3))) (* b_2 (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 3) (sqrt -1))))))))
(* (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)) (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 (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (* a (+ (* -2 (/ (pow b_2 2) a)) (* -1 c))))
(* -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)))) (/ b_2 (pow (sqrt -1) 4))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (sqrt -1)))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (sqrt -1))))) (sqrt -1)))) (* -1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4))))) (* c (pow (sqrt -1) 2))))) a)) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* (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))))
(* -1 (* a (- (/ b_2 a) (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -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)) (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -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))) (/ b_2 a)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -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 (/ (+ (* -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))))
(* c (pow (sqrt -1) 4))
(* -1 (* a (+ (* -1 (/ (* c (pow (sqrt -1) 4)) a)) (* 2 (* (sqrt (/ c (pow a 3))) (* b_2 (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* -1 (/ (* c (pow (sqrt -1) 4)) a)) (* -1 (/ (+ (* -2 (* (sqrt (/ c a)) (* b_2 (pow (sqrt -1) 3)))) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) a)) (* -1 (/ (pow b_2 2) a)))) a)))))
(* -1 (* a (+ (* -1 (/ (* c (pow (sqrt -1) 4)) a)) (* -1 (/ (+ (* -2 (* (sqrt (/ c a)) (* b_2 (pow (sqrt -1) 3)))) (* -1 (/ (+ (* -1 (+ (* -1 (* (pow b_2 2) (pow (sqrt -1) 2))) (* -1 (pow b_2 2)))) (* (sqrt (/ 1 (* a c))) (* (pow b_2 3) (sqrt -1)))) a))) a)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(+ (* -1 (* (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))))
(- 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 (pow b_2 2)) (* a c))
(+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* 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 (- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) (* (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 (* (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 (* (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))))))
(- (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))
(- (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 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) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* -1 (* (sqrt (* a c)) (sqrt -1))))
(/ -1/2 b_2)
(+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ a (* 1/2 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ a (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* -1 (* c (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))))
(+ (* -1 (* c (pow (sqrt -1) 2))) (* b_2 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1 (/ (pow (sqrt -1) 2) a)) (/ 1 a))))))
(+ (* -1 (* c (pow (sqrt -1) 2))) (* b_2 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (+ (* -1 (/ (pow (sqrt -1) 2) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(/ (* 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)))
(* 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) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (+ 2 (/ (* a c) (pow b_2 2))))
(* 2 (/ b_2 (* a (+ 1 (sqrt -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)))))
(* 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)))))
(* 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)))))))
(/ 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 (- (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)) (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* -1 (- (sqrt -1) 1)) (+ (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* a (* b_2 (+ 1 (sqrt -1))))
(* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -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))))))
(* 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)))))))
(/ (* (pow b_2 2) (* (- 1 (sqrt -1)) (- (sqrt -1) 1))) a)
(* (pow b_2 2) (+ (* -1/2 (/ (* c (* (sqrt -1) (- (sqrt -1) 1))) (pow b_2 2))) (+ (* 1/2 (/ (* c (* (sqrt -1) (- 1 (sqrt -1)))) (pow b_2 2))) (/ (* (- 1 (sqrt -1)) (- (sqrt -1) 1)) a))))
(* (pow b_2 2) (+ (* -1/2 (/ (* c (* (sqrt -1) (- (sqrt -1) 1))) (pow b_2 2))) (+ (* -1/4 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) (pow b_2 4))) (+ (* -1/8 (/ (* a (* (pow c 2) (* (sqrt -1) (- 1 (sqrt -1))))) (pow b_2 4))) (+ (* 1/8 (/ (* a (* (pow c 2) (* (sqrt -1) (- (sqrt -1) 1)))) (pow b_2 4))) (+ (* 1/2 (/ (* c (* (sqrt -1) (- 1 (sqrt -1)))) (pow b_2 2))) (/ (* (- 1 (sqrt -1)) (- (sqrt -1) 1)) a)))))))
(* (pow b_2 2) (+ (* -1/2 (/ (* c (* (sqrt -1) (- (sqrt -1) 1))) (pow b_2 2))) (+ (* -1/4 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) (pow b_2 4))) (+ (* -1/8 (/ (* a (* (pow c 2) (* (sqrt -1) (- 1 (sqrt -1))))) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (* (sqrt -1) (- (sqrt -1) 1)))) (pow b_2 6))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (* (sqrt -1) (- 1 (sqrt -1))))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (* (sqrt -1) (- (sqrt -1) 1)))) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) (* (pow c 3) (pow (sqrt -1) 2))) (pow b_2 6))) (+ (* 1/2 (/ (* c (* (sqrt -1) (- 1 (sqrt -1)))) (pow b_2 2))) (/ (* (- 1 (sqrt -1)) (- (sqrt -1) 1)) a))))))))))
(* -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))
(/ (* 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))))))))
(* 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))))))))
(* -2 (/ b_2 (* a (- (sqrt -1) 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))))))
(* -1 (* 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))))))
(* -1 (* 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))))))))
(/ 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))
(* -1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (- (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (* -1 (+ 1 (sqrt -1))))))
(* -1 (* b_2 (- (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* -1 (+ 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 (+ 1 (sqrt -1))) (+ (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))
(* -1 (* a (* b_2 (- (sqrt -1) 1))))
(* -1 (* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 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))))))
(* -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 (/ (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)) a))
(* (pow b_2 2) (+ (* -1 (/ (* c (* (sqrt -1) (+ 1 (sqrt -1)))) (pow b_2 2))) (* -1 (/ (pow (+ 1 (sqrt -1)) 2) a))))
(* (pow b_2 2) (+ (* -1 (/ (* c (* (sqrt -1) (+ 1 (sqrt -1)))) (pow b_2 2))) (+ (* -1 (/ (+ (* -1/4 (* a (* (pow c 2) (* (sqrt -1) (+ 1 (sqrt -1)))))) (* 1/4 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (pow b_2 4))) (* -1 (/ (pow (+ 1 (sqrt -1)) 2) a)))))
(* (pow b_2 2) (+ (* -1 (/ (* c (* (sqrt -1) (+ 1 (sqrt -1)))) (pow b_2 2))) (+ (* -1 (/ (+ (* -1/4 (* a (* (pow c 2) (* (sqrt -1) (+ 1 (sqrt -1)))))) (* 1/4 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (pow b_2 4))) (+ (* -1 (/ (+ (* -1/8 (* (pow a 2) (* (pow c 3) (pow (sqrt -1) 2)))) (* 1/8 (* (pow a 2) (* (pow c 3) (* (sqrt -1) (+ 1 (sqrt -1))))))) (pow b_2 6))) (* -1 (/ (pow (+ 1 (sqrt -1)) 2) a))))))
c
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 c)
(- (+ (* -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))
(- (+ 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))))))))
(+ (* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1)))))) (* c (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1)))))) (* c (- (+ (* -1 (* c (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ 1 (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1)))))) (* c (- (+ (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (* b_2 (+ b_2 (* b_2 (sqrt -1)))))) (+ (* -1/8 (/ (* (pow a 2) (* (sqrt -1) (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* (pow b_2 3) (+ b_2 (* b_2 (sqrt -1)))))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))))) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ 1 (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))
(+ (* 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)))))
(- (* c (- (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* -1/2 (/ (* a (sqrt -1)) b_2)))) (* -1 (- (* 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)))) (* -1 (- (* b_2 (sqrt -1)) b_2)))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) b_2)) (* a (+ b_2 (* b_2 (sqrt -1)))))
(+ (* a (+ b_2 (* b_2 (sqrt -1)))) (* 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 (* b_2 (sqrt -1)))) (* 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 (+ (* -1/2 (/ (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2)) b_2)) (* 1/2 (/ (* (sqrt -1) (- b_2 (* b_2 (sqrt -1)))) b_2)))) (/ (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2)) a))
(+ (* c (+ (* -1/2 (/ (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2)) b_2)) (+ (* 1/2 (/ (* (sqrt -1) (- b_2 (* b_2 (sqrt -1)))) b_2)) (* c (+ (* -1/4 (/ (* a (pow (sqrt -1) 2)) (pow b_2 2))) (+ (* -1/8 (/ (* a (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 3))) (* 1/8 (/ (* a (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 3))))))))) (/ (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2)) a))
(+ (* c (+ (* -1/2 (/ (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2)) b_2)) (+ (* 1/2 (/ (* (sqrt -1) (- b_2 (* b_2 (sqrt -1)))) b_2)) (* c (+ (* -1/4 (/ (* a (pow (sqrt -1) 2)) (pow b_2 2))) (+ (* -1/8 (/ (* a (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 3))) (+ (* 1/8 (/ (* a (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 3))) (* c (+ (* -1/16 (/ (* (pow a 2) (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 5))) (+ (* 1/16 (/ (* (pow a 2) (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 5))) (* 1/8 (/ (* (pow a 2) (pow (sqrt -1) 2)) (pow b_2 4))))))))))))) (/ (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2)) a))
(* 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 (* (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))))))
(* 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 (- (* -1 (/ (pow b_2 2) c)) a))
(* c (+ a (* 2 (/ (pow b_2 2) c))))
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 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))))) (/ b_2 (* a (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) a))) (pow c 3))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))))
(/ (+ (* -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 (- (* -1 (/ b_2 c)) (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
(* c (- (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))))
(* c (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)))))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))))
(* (pow c 2) (+ (* -1 (/ (pow (sqrt -1) 2) c)) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1))))))
(* (pow c 2) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) (* a (pow c 2)))) (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (+ (* -1 (/ (pow (sqrt -1) 2) c)) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1))))))))
(* (pow c 2) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) (* a (pow c 2)))) (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (+ (* -1 (/ (pow (sqrt -1) 2) c)) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 3) (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 (+ (* -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 (* 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 (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* c (+ (* -2 (/ (pow b_2 2) c)) (* -1 a))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -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)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) (sqrt -1))))) (/ (* b_2 c) (* a (pow (sqrt -1) 4)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) (sqrt -1))))) (sqrt -1)))) (* -1/2 (/ (* (pow b_2 2) (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) (* a (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) (sqrt -1))))) c)) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (/ (* b_2 c) (* a (pow (sqrt -1) 4)))) 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 (- (/ b_2 c) (* -1 (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* -1 (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -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)) (* -1 (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* (pow c 2) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (pow (sqrt -1) 3)))) (/ (pow (sqrt -1) 4) c)))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) a)) (* -1 (/ (pow b_2 2) a))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (pow (sqrt -1) 3))))) c)) (/ (pow (sqrt -1) 4) c)))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) a)) (* -1 (/ (pow b_2 2) a)))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (pow (sqrt -1) 3))))) c)) (/ (pow (sqrt -1) 4) c)))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
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) (* b_2 (/ 2 a)) (/ 2 a) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (/ (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (* b_2 b_2) (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a))) (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (/ 1 (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))) (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (/ -1/2 b_2) (+ (* c a) (* b_2 b_2)) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))
9.0ms
a
@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) (* b_2 (/ 2 a)) (/ 2 a) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (/ (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (* b_2 b_2) (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a))) (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (/ 1 (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))) (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (/ -1/2 b_2) (+ (* c a) (* b_2 b_2)) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))
9.0ms
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) (* b_2 (/ 2 a)) (/ 2 a) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (/ (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (* b_2 b_2) (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a))) (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (/ 1 (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))) (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (/ -1/2 b_2) (+ (* c a) (* b_2 b_2)) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))
7.0ms
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) (* b_2 (/ 2 a)) (/ 2 a) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (/ (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (* b_2 b_2) (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a))) (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (/ 1 (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))) (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (/ -1/2 b_2) (+ (* c a) (* b_2 b_2)) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))
6.0ms
a
@-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) (* b_2 (/ 2 a)) (/ 2 a) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (/ (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2))) (* b_2 b_2) (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a))) (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (/ 1 (/ (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))) (- (* 0 (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) -1)) (/ -1/2 b_2) (+ (* c a) (* b_2 b_2)) (* a (+ (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (* (neg (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) a)))

simplify198.0ms (2.8%)

Memory
17.4MiB live, 302.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197813089
1673312786
0823712266
Stop Event
iter limit
node limit
Counts
307 → 306
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 a))
(/ 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)
(- 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)))
(* -1 (pow b_2 2))
(- (* -1 (* a c)) (pow b_2 2))
(* 2 (pow b_2 2))
(+ (* 2 (pow b_2 2)) (* a c))
(* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1))))))
(/ (+ (* 2 (/ (pow b_2 2) (+ b_2 (* b_2 (sqrt -1))))) (* a (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (+ b_2 (* b_2 (sqrt -1))))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ c (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) a)
(/ (+ (* 2 (/ (pow b_2 2) (+ b_2 (* b_2 (sqrt -1))))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (* b_2 (+ b_2 (* b_2 (sqrt -1)))))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* (pow b_2 3) (+ b_2 (* b_2 (sqrt -1)))))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ c (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) 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))))))
0
(- (* b_2 (sqrt -1)) b_2)
(- (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* -1 (- (* 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)))) (* -1 (- (* 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)))) (* -1 (- (* b_2 (sqrt -1)) b_2)))
(pow b_2 2)
(+ (* a c) (pow b_2 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 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))))
(* a (+ 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)))))
(/ (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2)) a)
(/ (+ (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) b_2)) (* 1/2 (/ (* c (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) b_2)))) (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2))) a)
(/ (+ (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) b_2)) (+ (* 1/2 (/ (* c (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) b_2)) (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (pow b_2 2))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 3))) (* 1/8 (/ (* (pow c 2) (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 3))))))))) (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2))) a)
(/ (+ (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) b_2)) (+ (* 1/2 (/ (* c (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) b_2)) (* a (+ (* -1/4 (/ (* (pow c 2) (pow (sqrt -1) 2)) (pow b_2 2))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 3))) (+ (* 1/8 (/ (* (pow c 2) (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 3))) (* a (+ (* -1/16 (/ (* (pow c 3) (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 5))) (+ (* 1/16 (/ (* (pow c 3) (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 5))) (* 1/8 (/ (* (pow c 3) (pow (sqrt -1) 2)) (pow b_2 4))))))))))))) (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_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 (/ 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)) (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))))))
(* -1 (* a c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* a c)
(* a (+ c (* 2 (/ (pow b_2 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)))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))) (pow a 2))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 2))))) c))) (pow a 3))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))) (/ b_2 (pow (sqrt -1) 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))))))
(* a (- (* -1 (/ b_2 a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
(* a (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))
(* a (- (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)))))
(* a (+ c (/ (pow b_2 2) a)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* -1 (* c (pow (sqrt -1) 2)))
(* a (+ (* -1 (/ (* c (pow (sqrt -1) 2)) a)) (* 2 (* (sqrt (/ c (pow a 3))) (* b_2 (sqrt -1))))))
(* a (+ (* -1 (/ (* c (pow (sqrt -1) 2)) a)) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) (pow a 2))) (+ (* -1 (/ (pow b_2 2) (pow a 2))) (* 2 (* (sqrt (/ c (pow a 3))) (* b_2 (sqrt -1))))))))
(* a (+ (* -1 (/ (* c (pow (sqrt -1) 2)) a)) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) (pow a 2))) (+ (* -1 (/ (pow b_2 2) (pow a 2))) (+ (* 2 (* (sqrt (/ c (pow a 3))) (* b_2 (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 3) (sqrt -1))))))))
(* (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)) (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 (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (* a (+ (* -2 (/ (pow b_2 2) a)) (* -1 c))))
(* -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)))) (/ b_2 (pow (sqrt -1) 4))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (sqrt -1)))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (sqrt -1))))) (sqrt -1)))) (* -1/2 (/ (* a (* (pow b_2 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4))))) (* c (pow (sqrt -1) 2))))) a)) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ a c)) (/ (* b_2 (- (* 2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (/ (* a b_2) (pow (sqrt -1) 4)))) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) a))
(* (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))))
(* -1 (* a (- (/ b_2 a) (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -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)) (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -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))) (/ b_2 a)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* -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 (/ (+ (* -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))))
(* c (pow (sqrt -1) 4))
(* -1 (* a (+ (* -1 (/ (* c (pow (sqrt -1) 4)) a)) (* 2 (* (sqrt (/ c (pow a 3))) (* b_2 (pow (sqrt -1) 3)))))))
(* -1 (* a (+ (* -1 (/ (* c (pow (sqrt -1) 4)) a)) (* -1 (/ (+ (* -2 (* (sqrt (/ c a)) (* b_2 (pow (sqrt -1) 3)))) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) a)) (* -1 (/ (pow b_2 2) a)))) a)))))
(* -1 (* a (+ (* -1 (/ (* c (pow (sqrt -1) 4)) a)) (* -1 (/ (+ (* -2 (* (sqrt (/ c a)) (* b_2 (pow (sqrt -1) 3)))) (* -1 (/ (+ (* -1 (+ (* -1 (* (pow b_2 2) (pow (sqrt -1) 2))) (* -1 (pow b_2 2)))) (* (sqrt (/ 1 (* a c))) (* (pow b_2 3) (sqrt -1)))) a))) a)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1/2 (/ c b_2))
(+ (* -1 (* (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))))
(- 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 (pow b_2 2)) (* a c))
(+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* 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 (- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) (* (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 (* (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 (* (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))))))
(- (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))
(- (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 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) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* -1 (* (sqrt (* a c)) (sqrt -1))))
(/ -1/2 b_2)
(+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ a (* 1/2 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ a (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* -1 (* c (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))))
(+ (* -1 (* c (pow (sqrt -1) 2))) (* b_2 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1 (/ (pow (sqrt -1) 2) a)) (/ 1 a))))))
(+ (* -1 (* c (pow (sqrt -1) 2))) (* b_2 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (+ (* -1 (/ (pow (sqrt -1) 2) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(/ (* 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)))
(* 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) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (+ 2 (/ (* a c) (pow b_2 2))))
(* 2 (/ b_2 (* a (+ 1 (sqrt -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)))))
(* 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)))))
(* 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)))))))
(/ 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 (- (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)) (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* -1 (- (sqrt -1) 1)) (+ (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* a (* b_2 (+ 1 (sqrt -1))))
(* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -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))))))
(* 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)))))))
(/ (* (pow b_2 2) (* (- 1 (sqrt -1)) (- (sqrt -1) 1))) a)
(* (pow b_2 2) (+ (* -1/2 (/ (* c (* (sqrt -1) (- (sqrt -1) 1))) (pow b_2 2))) (+ (* 1/2 (/ (* c (* (sqrt -1) (- 1 (sqrt -1)))) (pow b_2 2))) (/ (* (- 1 (sqrt -1)) (- (sqrt -1) 1)) a))))
(* (pow b_2 2) (+ (* -1/2 (/ (* c (* (sqrt -1) (- (sqrt -1) 1))) (pow b_2 2))) (+ (* -1/4 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) (pow b_2 4))) (+ (* -1/8 (/ (* a (* (pow c 2) (* (sqrt -1) (- 1 (sqrt -1))))) (pow b_2 4))) (+ (* 1/8 (/ (* a (* (pow c 2) (* (sqrt -1) (- (sqrt -1) 1)))) (pow b_2 4))) (+ (* 1/2 (/ (* c (* (sqrt -1) (- 1 (sqrt -1)))) (pow b_2 2))) (/ (* (- 1 (sqrt -1)) (- (sqrt -1) 1)) a)))))))
(* (pow b_2 2) (+ (* -1/2 (/ (* c (* (sqrt -1) (- (sqrt -1) 1))) (pow b_2 2))) (+ (* -1/4 (/ (* a (* (pow c 2) (pow (sqrt -1) 2))) (pow b_2 4))) (+ (* -1/8 (/ (* a (* (pow c 2) (* (sqrt -1) (- 1 (sqrt -1))))) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (* (sqrt -1) (- (sqrt -1) 1)))) (pow b_2 6))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (* (sqrt -1) (- 1 (sqrt -1))))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (* (sqrt -1) (- (sqrt -1) 1)))) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) (* (pow c 3) (pow (sqrt -1) 2))) (pow b_2 6))) (+ (* 1/2 (/ (* c (* (sqrt -1) (- 1 (sqrt -1)))) (pow b_2 2))) (/ (* (- 1 (sqrt -1)) (- (sqrt -1) 1)) a))))))))))
(* -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))
(/ (* 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))))))))
(* 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))))))))
(* -2 (/ b_2 (* a (- (sqrt -1) 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))))))
(* -1 (* 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))))))
(* -1 (* 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))))))))
(/ 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))
(* -1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (- (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (* -1 (+ 1 (sqrt -1))))))
(* -1 (* b_2 (- (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* -1 (+ 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 (+ 1 (sqrt -1))) (+ (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))
(* -1 (* a (* b_2 (- (sqrt -1) 1))))
(* -1 (* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- (sqrt -1) 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))))))
(* -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 (/ (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2)) a))
(* (pow b_2 2) (+ (* -1 (/ (* c (* (sqrt -1) (+ 1 (sqrt -1)))) (pow b_2 2))) (* -1 (/ (pow (+ 1 (sqrt -1)) 2) a))))
(* (pow b_2 2) (+ (* -1 (/ (* c (* (sqrt -1) (+ 1 (sqrt -1)))) (pow b_2 2))) (+ (* -1 (/ (+ (* -1/4 (* a (* (pow c 2) (* (sqrt -1) (+ 1 (sqrt -1)))))) (* 1/4 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (pow b_2 4))) (* -1 (/ (pow (+ 1 (sqrt -1)) 2) a)))))
(* (pow b_2 2) (+ (* -1 (/ (* c (* (sqrt -1) (+ 1 (sqrt -1)))) (pow b_2 2))) (+ (* -1 (/ (+ (* -1/4 (* a (* (pow c 2) (* (sqrt -1) (+ 1 (sqrt -1)))))) (* 1/4 (* a (* (pow c 2) (pow (sqrt -1) 2))))) (pow b_2 4))) (+ (* -1 (/ (+ (* -1/8 (* (pow a 2) (* (pow c 3) (pow (sqrt -1) 2)))) (* 1/8 (* (pow a 2) (* (pow c 3) (* (sqrt -1) (+ 1 (sqrt -1))))))) (pow b_2 6))) (* -1 (/ (pow (+ 1 (sqrt -1)) 2) a))))))
c
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 c)
(- (+ (* -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))
(- (+ 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))))))))
(+ (* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1)))))) (* c (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1)))))) (* c (- (+ (* -1 (* c (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ 1 (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))
(+ (* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1)))))) (* c (- (+ (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (* b_2 (+ b_2 (* b_2 (sqrt -1)))))) (+ (* -1/8 (/ (* (pow a 2) (* (sqrt -1) (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* (pow b_2 3) (+ b_2 (* b_2 (sqrt -1)))))) (* 1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))))) (+ (* -1/4 (/ (* a (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* a (* (sqrt -1) (- (/ 1 (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ 1 (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (sqrt -1)) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))
(+ (* 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)))))
(- (* c (- (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* -1/2 (/ (* a (sqrt -1)) b_2)))) (* -1 (- (* 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)))) (* -1 (- (* b_2 (sqrt -1)) b_2)))
(+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) b_2)) (* a (+ b_2 (* b_2 (sqrt -1)))))
(+ (* a (+ b_2 (* b_2 (sqrt -1)))) (* 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 (* b_2 (sqrt -1)))) (* 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 (+ (* -1/2 (/ (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2)) b_2)) (* 1/2 (/ (* (sqrt -1) (- b_2 (* b_2 (sqrt -1)))) b_2)))) (/ (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2)) a))
(+ (* c (+ (* -1/2 (/ (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2)) b_2)) (+ (* 1/2 (/ (* (sqrt -1) (- b_2 (* b_2 (sqrt -1)))) b_2)) (* c (+ (* -1/4 (/ (* a (pow (sqrt -1) 2)) (pow b_2 2))) (+ (* -1/8 (/ (* a (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 3))) (* 1/8 (/ (* a (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 3))))))))) (/ (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2)) a))
(+ (* c (+ (* -1/2 (/ (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2)) b_2)) (+ (* 1/2 (/ (* (sqrt -1) (- b_2 (* b_2 (sqrt -1)))) b_2)) (* c (+ (* -1/4 (/ (* a (pow (sqrt -1) 2)) (pow b_2 2))) (+ (* -1/8 (/ (* a (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 3))) (+ (* 1/8 (/ (* a (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 3))) (* c (+ (* -1/16 (/ (* (pow a 2) (* (sqrt -1) (- (* b_2 (sqrt -1)) b_2))) (pow b_2 5))) (+ (* 1/16 (/ (* (pow a 2) (* (sqrt -1) (- b_2 (* b_2 (sqrt -1))))) (pow b_2 5))) (* 1/8 (/ (* (pow a 2) (pow (sqrt -1) 2)) (pow b_2 4))))))))))))) (/ (* (- b_2 (* b_2 (sqrt -1))) (- (* b_2 (sqrt -1)) b_2)) a))
(* 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 (* (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))))))
(* 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 (- (* -1 (/ (pow b_2 2) c)) a))
(* c (+ a (* 2 (/ (pow b_2 2) c))))
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 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))))) (/ b_2 (* a (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))))) a))) (pow c 3))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2))))))
(/ (+ (* -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 (- (* -1 (/ b_2 c)) (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
(* c (- (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))))
(* c (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)))))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))))
(* (pow c 2) (+ (* -1 (/ (pow (sqrt -1) 2) c)) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1))))))
(* (pow c 2) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) (* a (pow c 2)))) (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (+ (* -1 (/ (pow (sqrt -1) 2) c)) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1))))))))
(* (pow c 2) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) (* a (pow c 2)))) (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (+ (* -1 (/ (pow (sqrt -1) 2) c)) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 3) (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 (+ (* -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 (* 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 (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* c (+ (* -2 (/ (pow b_2 2) c)) (* -1 a))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -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)))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) (sqrt -1))))) (/ (* b_2 c) (* a (pow (sqrt -1) 4)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) (sqrt -1))))) (sqrt -1)))) (* -1/2 (/ (* (pow b_2 2) (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) (* a (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ c a)) (/ (* b_2 (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 4))))) (sqrt -1))))) c)) (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) (/ (* b_2 c) (* a (pow (sqrt -1) 4)))) 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 (- (/ b_2 c) (* -1 (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* -1 (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -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)) (* -1 (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(* (pow c 2) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (pow (sqrt -1) 3)))) (/ (pow (sqrt -1) 4) c)))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) a)) (* -1 (/ (pow b_2 2) a))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (pow (sqrt -1) 3))))) c)) (/ (pow (sqrt -1) 4) c)))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) a)) (* -1 (/ (pow b_2 2) a)))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (pow (sqrt -1) 3))))) c)) (/ (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 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 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(/ 2 a)
(/.f64 #s(literal 2 binary64) 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)
(- 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))
(* -1 (pow b_2 2))
(neg.f64 (*.f64 b_2 b_2))
(- (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (neg.f64 (*.f64 b_2 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 a c))
(* 2 (/ (pow b_2 2) (* a (+ b_2 (* b_2 (sqrt -1))))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.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 (* b_2 (sqrt -1))))) (* a (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) a)
(/.f64 (fma.f64 (-.f64 (/.f64 c (fma.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 (fma.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)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2))) a)
(/ (+ (* 2 (/ (pow b_2 2) (+ b_2 (* b_2 (sqrt -1))))) (* a (- (+ (* -1 (* a (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ c (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 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 (fma.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 (fma.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 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2)))) (-.f64 (/.f64 c (fma.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 (fma.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)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2))) a)
(/ (+ (* 2 (/ (pow b_2 2) (+ b_2 (* b_2 (sqrt -1))))) (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (* b_2 (+ b_2 (* b_2 (sqrt -1)))))) (+ (* -1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* (pow b_2 3) (+ b_2 (* b_2 (sqrt -1)))))) (* 1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (+ b_2 (* b_2 (sqrt -1))) 2)))))))) (+ (* -1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (+ b_2 (* b_2 (sqrt -1))) 2)))) (* 1/2 (/ (* c (* (sqrt -1) (- (/ c (+ b_2 (* b_2 (sqrt -1)))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) (* b_2 (+ b_2 (* b_2 (sqrt -1))))))))) (/ c (+ b_2 (* b_2 (sqrt -1))))) (/ (* b_2 (* c (sqrt -1))) (pow (+ b_2 (* b_2 (sqrt -1))) 2))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.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 (fma.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 (fma.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 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2))))) b_2) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2)) (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 c (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2) #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2)))))) a (-.f64 (/.f64 c (fma.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 (fma.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)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 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))))))
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(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
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(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2)) c) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))
(* -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)) (* -1 (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) c)) b_2) c) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 (*.f64 b_2 b_2)) c) a))
(* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 a (/.f64 b_2 c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (*.f64 a b_2)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* a b_2)) c)) (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 a b_2 (neg.f64 (/.f64 (fma.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))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 a c))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) c))) c))))
(* (pow c 2) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (pow (sqrt -1) 3)))) (/ (pow (sqrt -1) 4) c)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal -2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) c)) (*.f64 c c))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) a)) (* -1 (/ (pow b_2 2) a))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (pow (sqrt -1) 3))))) c)) (/ (pow (sqrt -1) 4) c)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -1 binary64) (/.f64 (*.f64 b_2 b_2) a))) c))) c) #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) c)) (*.f64 c c))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (pow (sqrt -1) 2)) a)) (* -1 (/ (pow b_2 2) a)))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (pow (sqrt -1) 3))))) c)) (/ (pow (sqrt -1) 4) c)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) b_2) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -1 binary64) (/.f64 (*.f64 b_2 b_2) a)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) c)) (*.f64 c c))

rewrite204.0ms (2.9%)

Memory
17.6MiB live, 247.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043443
066310
1290266
22233248
08530235
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 194
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) (*.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 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
(-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
(*.f64 b_2 b_2)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)))
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) b_2)
#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
(*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2))
(*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))
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 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) (neg.f64 c)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 c #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 c #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 #s(literal -1/2 binary64) b_2) c))
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) b_2) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b_2 #s(literal -1 binary64)) c))
(*.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 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) (pow.f64 c #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 b_2 #s(literal -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 (neg.f64 b_2)))
(/.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 c #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b_2))))
(/.f64 (neg.f64 (*.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 (*.f64 (neg.f64 b_2) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c))) (neg.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 b_2 #s(literal -2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 (pow.f64 c #s(literal -1 binary64))))
(/.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) (neg.f64 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 c #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 b_2)))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) (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) c) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 #s(literal 1 binary64) b_2))
(/.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) b_2)
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (*.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (*.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) b_2) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b_2))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.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 (*.f64 #s(literal 1 binary64) b_2)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.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)) b_2)))
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b_2) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b_2) (*.f64 #s(literal 1/2 binary64) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b_2)) (*.f64 c #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b_2) (*.f64 c #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) b_2) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b_2)) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b_2) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 b_2 #s(literal -2 binary64))) (*.f64 (neg.f64 c) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b_2) (pow.f64 c #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (neg.f64 b_2)) #s(literal 1/2 binary64)))
(/.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 (*.f64 b_2 #s(literal -2 binary64)) (pow.f64 c #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 b_2 #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 (pow.f64 c #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) b_2) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal 1 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal -2 binary64))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b_2 #s(literal -2 binary64)) (pow.f64 c #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 b_2 #s(literal -2 binary64))))
(/.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 b_2 (pow.f64 c #s(literal -1 binary64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 c #s(literal -1 binary64)) b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) (pow.f64 c #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 b_2 #s(literal -2 binary64)))))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal -2 binary64)))))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 c (*.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 c (*.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 c (*.f64 b_2 #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) b_2))
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)) (neg.f64 a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))))) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) (neg.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 a) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)) a))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))))) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))))) (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)) a))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64))) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))))) (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)) a))
(-.f64 (/.f64 (neg.f64 b_2) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))))) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))))) (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)) a))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)) a) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)) a))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) #s(literal 2 binary64)))) #s(literal -1 binary64)))

eval334.0ms (4.7%)

Memory
-7.7MiB live, 451.5MiB allocated
Compiler

Compiled 198 990 to 9 914 computations (95% saved)

prune65.0ms (0.9%)

Memory
15.6MiB live, 136.4MiB allocated
Pruning

32 alts after pruning (22 fresh and 10 done)

PrunedKeptTotal
New2 52492 533
Fresh31316
Picked325
Done088
Total2 530322 562
Accuracy
92.7%
Counts
2 562 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.5%
(/.f64 (/.f64 (fma.f64 b_2 b_2 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))) (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))) b_2)) a)
21.5%
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))))) b_2)))
53.3%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
35.0%
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
25.9%
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
27.8%
(/.f64 #s(approx (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (*.f64 a c)) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
28.3%
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
28.4%
(/.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)
25.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))) b_2))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
23.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
25.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
25.9%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
25.9%
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
33.2%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
35.8%
#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)))
1.2%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a)) (*.f64 b_2 b_2)))
10.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 a (*.f64 b_2 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))
11.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
37.5%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
2.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 2 binary64) (/.f64 a b_2)))
11.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
21.8%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 a b_2)) (*.f64 a (neg.f64 a))) #s(literal -2 binary64)))
8.9%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b_2))) (neg.f64 a))) #s(literal -2 binary64)))
33.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
37.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
11.1%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -2 binary64)))
14.8%
#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)))
33.3%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
1.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
24.4%
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
Compiler

Compiled 2 378 to 823 computations (65.4% saved)

regimes58.0ms (0.8%)

Memory
16.6MiB live, 54.3MiB allocated
Counts
53 → 3
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)))
#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 -1/2 binary64) c) b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
#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 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 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 1/2 binary64) (/.f64 b_2 c)))
#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 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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)))) 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 c b_2) #s(literal 1/2 binary64) (*.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)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 a b_2)) (*.f64 a (neg.f64 a))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 #s(approx (- (* b_2 b_2) (neg (+ (* c a) (* b_2 b_2)))) (*.f64 a c)) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b_2)) (*.f64 (neg.f64 a) (neg.f64 a))) #s(literal -2 binary64)))
(*.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 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c 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 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
(/.f64 (/.f64 (fma.f64 b_2 b_2 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))) (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))) b_2)) a)
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (*.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
#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)))
(*.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 #s(literal 1 binary64) (/.f64 (*.f64 a a) (-.f64 (*.f64 (neg.f64 b_2) a) (*.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))))
(/.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 b_2 b_2 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c))) (neg.f64 (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))) b_2))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 a (*.f64 b_2 b_2))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) #s(literal -2 binary64)) (neg.f64 a)) (*.f64 b_2 b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (neg.f64 a))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.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(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 1/2 binary64))) #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)))))
#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)))
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) (*.f64 a (+.f64 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))))) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b_2))) (neg.f64 a))) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)) (*.f64 (neg.f64 (-.f64 b_2 (exp.f64 (log.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 a c)))))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (+.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) (*.f64 a a)) (*.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a)))) (-.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a) #s(literal 3 binary64)))))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) 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) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
Calls

4 calls:

15.0ms
c
14.0ms
b_2
13.0ms
a
12.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
53.3%1a
88.6%3b_2
56.4%3c
75.2%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)

regimes9.0ms (0.1%)

Memory
-29.8MiB live, 8.6MiB allocated
Counts
24 → 3
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)))
#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 -1/2 binary64) c) b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
#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 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 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 1/2 binary64) (/.f64 b_2 c)))
#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 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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)))) 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 c b_2) #s(literal 1/2 binary64) (*.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)
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ c b_2) 1/2) (* (/ b_2 a) -2)) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 a b_2)) (*.f64 a (neg.f64 a))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) 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:

7.0ms
b_2
Results
AccuracySegmentsBranch
84.6%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
19 → 3
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)))
#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 -1/2 binary64) c) b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
#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 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 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 1/2 binary64) (/.f64 b_2 c)))
#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 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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)))) 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 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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:

5.0ms
b_2
Results
AccuracySegmentsBranch
84.4%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
17 → 3
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)))
#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 -1/2 binary64) c) b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
#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 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 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 1/2 binary64) (/.f64 b_2 c)))
#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 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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)
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
#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
84.4%3b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
15 → 2
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)))
#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 -1/2 binary64) c) b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
#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 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 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 1/2 binary64) (/.f64 b_2 c)))
#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 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
Outputs
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) 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

2 calls:

4.0ms
b_2
4.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
AccuracySegmentsBranch
50.5%3(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
68.4%2b_2
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
5 → 2
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)))
#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)))
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:

2.0ms
b_2
Results
AccuracySegmentsBranch
68.3%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
4 → 2
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)))
#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
68.3%2b_2
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
-32.8MiB live, 8.2MiB 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) (*.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:

3.0ms
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
37.5%1(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
37.5%1a
37.5%1c
37.5%1b_2
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch32.0ms (0.5%)

Memory
26.3MiB live, 26.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
8.0ms
4.427196000744745e+94
2.5275251602961525e+108
20.0ms
-7.357086192530269e-75
-2.4457927081858488e-79
Samples
11.0ms159×0valid
4.0ms33×1valid
3.0ms16×2valid
2.0ms34×0invalid
Compiler

Compiled 432 to 354 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (30.2% of total)
ival-sub: 3.0ms (22.7% of total)
ival-div: 2.0ms (15.1% of total)
ival-sqrt: 2.0ms (15.1% of total)
adjust: 1.0ms (7.6% of total)
ival-neg: 1.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
-19.9MiB live, 18.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
2.745461877215167e-122
1.09592293730027e-116
1.0ms
-7.357086192530269e-75
-2.4457927081858488e-79
Samples
9.0ms144×0valid
3.0ms43×0invalid
Compiler

Compiled 690 to 536 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (26.1% of total)
ival-mult: 2.0ms (26.1% of total)
ival-div: 1.0ms (13.1% of total)
ival-sqrt: 1.0ms (13.1% of total)
ival-neg: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.745461877215167e-122
1.09592293730027e-116
1.0ms
-7.357086192530269e-75
-2.4457927081858488e-79
Compiler

Compiled 673 to 519 computations (22.9% saved)

bsearch2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.745461877215167e-122
1.09592293730027e-116
1.0ms
-7.357086192530269e-75
-2.4457927081858488e-79
Compiler

Compiled 628 to 492 computations (21.7% saved)

bsearch28.0ms (0.4%)

Memory
23.0MiB live, 23.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-3.0388805637760533e-289
-3.190245560239897e-303
Samples
11.0ms160×0valid
6.0ms90×0invalid
Compiler

Compiled 396 to 316 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (28.8% of total)
ival-sub: 2.0ms (19.2% of total)
ival-div: 2.0ms (19.2% of total)
ival-sqrt: 2.0ms (19.2% of total)
ival-neg: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3.0388805637760533e-289
-3.190245560239897e-303
Compiler

Compiled 396 to 316 computations (20.2% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3.0388805637760533e-289
-3.190245560239897e-303
Compiler

Compiled 396 to 316 computations (20.2% saved)

simplify73.0ms (1%)

Memory
-29.4MiB live, 46.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068404
1103404
2153404
3243404
4353404
5611404
62188404
75217404
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b_2 #s(literal -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 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) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 7665877170305229/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 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 -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 7665877170305229/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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 -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 7665877170305229/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a) #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 -4941461262385513/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) 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 -4941461262385513/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872 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 -4941461262385513/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872 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)))
Outputs
(if (<=.f64 b_2 #s(literal -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 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) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 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) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 7665877170305229/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 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 -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 7665877170305229/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 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 -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 7665877170305229/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) 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 -7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 7665877170305229/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a) #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 -4941461262385513/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) 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 -4941461262385513/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872 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 -4941461262385513/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872 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)))

soundness645.0ms (9%)

Memory
5.0MiB live, 286.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038217
060217
1210215
21356215
08327215
012567967
141947701
083237409
01041
01741
16841
250338
3659038
0830538
05282732
116572699
256112679
082182554
047278
072217
1293213
22232207
08926202
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 707 to 306 computations (56.7% saved)

preprocess74.0ms (1%)

Memory
10.8MiB live, 93.1MiB allocated
Compiler

Compiled 1 012 to 206 computations (79.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...