jeff quadratic root 1

Time bar (total: 10.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze337.0ms (3.2%)

Memory
-2.4MiB live, 138.9MiB 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
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
34.4%34.3%65.5%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
47.5%44.5%49.1%0.1%0%6.2%0%8
54.7%49.9%41.3%0.1%0%8.6%0%9
61%52.9%33.7%0.1%0%13.3%0%10
67.4%57.8%28%0.1%0%14%0%11
72.5%60.5%23%0.1%0%16.4%0%12
Compiler

Compiled 40 to 22 computations (45% saved)

sample1.9s (18.2%)

Memory
47.9MiB live, 2 778.4MiB allocated
Samples
1.2s8 256×0valid
134.0ms966×0invalid
Precisions
Click to see histograms. Total time spent on operations: 913.0ms
ival-mult: 307.0ms (33.6% of total)
ival-div: 183.0ms (20% of total)
ival-sub: 101.0ms (11.1% of total)
ival-neg: 86.0ms (9.4% of total)
ival-sqrt: 72.0ms (7.9% of total)
ival-if: 63.0ms (6.9% of total)
ival-add: 42.0ms (4.6% of total)
ival->=: 38.0ms (4.2% of total)
exact: 13.0ms (1.4% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain380.0ms (3.6%)

Memory
3.7MiB live, 444.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1000-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
671(-4.9696162181233374e-250 -8.603146916154122e+82 -3846171840.4626784)0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
530-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
140-3(-3.597165700553019e+73 1.4037830928079995e+94 4.076249273013537e-302)(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
90-1(-4.9696162181233374e-250 -8.603146916154122e+82 -3846171840.4626784)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
40-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-a
00-0-(*.f64 #s(literal 2 binary64) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-(neg.f64 b)
00-0-(>=.f64 b #s(literal 0 binary64))
00-0-#s(literal 4 binary64)
00-0-(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
00-0-#s(literal 0 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-#s(literal 2 binary64)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))oflow-rescue930
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow93
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow32
(*.f64 b b)overflow74
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation680
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation530
/.f64(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))n/u110
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow7
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow23
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow40
(*.f64 b b)underflow43
/.f64(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))u/n80
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow23
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow7
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow40
(*.f64 b b)underflow43
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue70
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow7
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow40
(*.f64 b b)underflow43
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue40
(*.f64 b b)overflow74
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow32
Confusion
Predicted +Predicted -
+770
-10574
Precision
0.4230769230769231
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7700
-105074
Precision?
0.4230769230769231
Recall?
1.0
Freqs
test
numberfreq
074
1124
254
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
107.0ms134×2valid
54.0ms170×1valid
22.0ms182×0valid
10.0ms26×3valid
Compiler

Compiled 332 to 64 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-sqrt: 55.0ms (35.3% of total)
ival-mult: 33.0ms (21.2% of total)
ival-div: 29.0ms (18.6% of total)
adjust: 14.0ms (9% of total)
ival-sub: 10.0ms (6.4% of total)
ival-add: 5.0ms (3.2% of total)
ival-if: 4.0ms (2.6% of total)
ival->=: 2.0ms (1.3% of total)
ival-neg: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess46.0ms (0.4%)

Memory
16.7MiB live, 69.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078355
1202343
2478343
3806343
41082343
51325343
61553343
71655343
02038
03338
15738
211338
320338
430238
538238
642238
747238
851438
051436
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b))))
Compiler

Compiled 38 to 20 computations (47.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune2.0ms (0%)

Memory
-45.4MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Compiler

Compiled 38 to 20 computations (47.4% saved)

simplify13.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
cost-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020145
033145
157145
2113145
3203145
4302145
5382145
6422145
7472145
8514145
0514137
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
(*.f64 #s(literal 2 binary64) c)
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)))
(*.f64 #s(literal 2 binary64) c)
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b))

localize91.0ms (0.9%)

Memory
31.3MiB live, 77.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy3.050399727854566
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
accuracy12.064794489712922
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy15.693415664616014
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy23.293111479464024
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
42.0ms67×2valid
18.0ms85×1valid
11.0ms91×0valid
5.0ms13×3valid
Compiler

Compiled 147 to 22 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 28.0ms (48.7% of total)
adjust: 7.0ms (12.2% of total)
ival-mult: 7.0ms (12.2% of total)
ival-sub: 5.0ms (8.7% of total)
ival-sqrt: 4.0ms (7% of total)
ival-if: 2.0ms (3.5% of total)
ival-add: 2.0ms (3.5% of total)
ival->=: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
-38.1MiB live, 59.2MiB allocated
Counts
8 → 152
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(>=.f64 b #s(literal 0 binary64))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(- (pow b 2) (* 4 (* a c)))
(>= b 0)
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
c
@inf
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
6.0ms
a
@inf
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
5.0ms
a
@0
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
5.0ms
a
@-inf
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
4.0ms
c
@0
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))

simplify252.0ms (2.4%)

Memory
14.7MiB live, 201.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09014710
132004629
082084403
Stop Event
iter limit
node limit
Counts
152 → 151
Calls
Call 1
Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(- (pow b 2) (* 4 (* a c)))
(>= b 0)
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (+.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(* -2 (/ (* a c) b))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -4 (* a c))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 4 binary64) c)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/16 binary64))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a)
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(*.f64 (-.f64 (*.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 b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a)
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a)
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) a) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (*.f64 b (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) c)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.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 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))) c)
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) c) (fma.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 b (/.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 (*.f64 c c) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (neg.f64 (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) a)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c))) c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.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 b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (neg.f64 c) (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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c)) b) (neg.f64 c))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64)))) c) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c)))

rewrite435.0ms (4.1%)

Memory
40.7MiB live, 173.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020120
033120
195120
2607116
37718116
08456108
Stop Event
iter limit
node limit
iter limit
Counts
8 → 520
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(>=.f64 b #s(literal 0 binary64))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c a) (-.f64 (*.f64 (*.f64 c a) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 (fma.f64 c c #s(literal 0 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 (fma.f64 c c #s(literal 0 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 (neg.f64 c) (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 c (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 c (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 c (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (*.f64 (/.f64 c (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b))) (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (*.f64 (/.f64 c (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fma.f64 (/.f64 c (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 c (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 c (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 c (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(fma.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(-.f64 (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (neg.f64 (/.f64 c (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(-.f64 (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (neg.f64 (/.f64 c (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(+.f64 (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(+.f64 (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(+.f64 (/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(+.f64 (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))

eval344.0ms (3.2%)

Memory
-74.3MiB live, 256.8MiB allocated
Compiler

Compiled 54 300 to 3 908 computations (92.8% saved)

prune57.0ms (0.5%)

Memory
4.8MiB live, 94.6MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New81717834
Fresh000
Picked101
Done000
Total81817835
Accuracy
91.1%
Counts
835 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
50.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
61.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
51.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (/.f64 c (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))
63.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
48.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
40.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))))
64.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))))))
67.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
48.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
71.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
64.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
71.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
40.6%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
71.5%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
71.1%
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
71.5%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
Compiler

Compiled 1 714 to 976 computations (43.1% saved)

simplify139.0ms (1.3%)

Memory
21.7MiB live, 199.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
cost-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff6
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff7
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
cost-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff2
(/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
cost-diff7
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff0
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
cost-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff0
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
cost-diff14
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff0
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
cost-diff0
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068949
0109903
1189887
2363852
3930836
42794826
57754826
08076826
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 b b)
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 #s(literal -2 binary64) c)
#s(literal -2 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))
(*.f64 #s(literal 2 binary64) c)
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(*.f64 #s(literal -2 binary64) c)
#s(literal -2 binary64)
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(neg.f64 b)
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
(*.f64 #s(literal 2 binary64) c)
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
Outputs
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 b b)
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 #s(literal -2 binary64) c)
#s(literal -2 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 (*.f64 a #s(literal 4 binary64)) c)
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)))
(*.f64 #s(literal 2 binary64) c)
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 (*.f64 a #s(literal 4 binary64)) c)
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c)
(/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 c a)) c)
(*.f64 #s(literal -2 binary64) c)
#s(literal -2 binary64)
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(neg.f64 b)
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 #s(literal 2 binary64) c)
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 (*.f64 a #s(literal 4 binary64)) c)
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)

localize222.0ms (2.1%)

Memory
-25.4MiB live, 317.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy0.0
(neg.f64 b)
accuracy1.0
(>=.f64 b #s(literal 0 binary64))
accuracy0.0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy0.0
(neg.f64 b)
accuracy1.0
(>=.f64 b #s(literal 0 binary64))
accuracy0.0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy0.0
(neg.f64 b)
accuracy0.0
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
accuracy1.0
(>=.f64 b #s(literal 0 binary64))
accuracy0.0
(*.f64 #s(literal -2 binary64) c)
accuracy0.0
(*.f64 #s(literal -4 binary64) c)
accuracy0.0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy1.0
(>=.f64 b #s(literal 0 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) c)
accuracy0.0
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
accuracy0.0
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
accuracy1.0
(>=.f64 b #s(literal 0 binary64))
Samples
156.0ms256×0invalid
Compiler

Compiled 949 to 55 computations (94.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-div: 63.0ms (51.6% of total)
ival-mult: 30.0ms (24.6% of total)
ival-add: 6.0ms (4.9% of total)
ival-sub: 6.0ms (4.9% of total)
ival-if: 5.0ms (4.1% of total)
ival-sqrt: 5.0ms (4.1% of total)
ival-neg: 5.0ms (4.1% of total)
ival->=: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series84.0ms (0.8%)

Memory
11.4MiB live, 104.9MiB allocated
Counts
23 → 139
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(*.f64 #s(literal 2 binary64) c)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 #s(literal -2 binary64) c)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
0
(if (>= b 0) 0 (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(NAN)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2))))
(+ (* -8 (/ (* a (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))))
(+ (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* -32 (/ (* a (pow c 3)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))) (* -8 (/ (pow c 2) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))
(+ (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* -8 (/ (pow c 2) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* a (+ (* -128 (/ (* a (pow c 4)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 4))) (* -32 (/ (pow c 3) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))))))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ (* c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2))))) (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))))))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(if (>= b 0) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(/ 1/2 a)
(/ (+ 1/2 (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c)))) a)
(/ (+ 1/2 (+ (* 1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 2) (pow c 2)))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c))))) a)
(/ (+ 1/2 (+ (* 1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* (pow a 3) (pow c 3)))) (+ (* 1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 2) (pow c 2)))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c)))))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* -1 (/ (- (* -1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c))) 1/2) a))
(* -1 (/ (- (* -1 (/ (+ (* 1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* a (pow c 2)))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) c))) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (pow c 2))) (* -1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* a (pow c 3))))) a)) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) c))) a)) 1/2) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(>= b 0)
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -1 b)
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(if (>= b 0) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(if (>= b 0) 0 (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 1/2 (/ (- (* -1 b) (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(if (>= b 0) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* c (- (* -8 (/ (* a c) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* 2 (/ 1 (+ (* -1 (pow b 2)) (pow b 2))))))
(* c (- (* c (+ (* -32 (/ (* (pow a 2) c) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))) (* -8 (/ a (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (* 2 (/ 1 (+ (* -1 (pow b 2)) (pow b 2))))))
(* c (- (* c (+ (* -8 (/ a (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* c (+ (* -128 (/ (* (pow a 3) c) (pow (+ (* -1 (pow b 2)) (pow b 2)) 4))) (* -32 (/ (pow a 2) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))))))) (* 2 (/ 1 (+ (* -1 (pow b 2)) (pow b 2))))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* 2 c)
(* -4 c)
(* -2 c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(+ (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* (pow a 2) c))) (* 1/2 (/ 1 a)))
(- (+ (* 1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 3) (pow c 2)))) (* 1/2 (/ 1 a))) (* -1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* (pow a 2) c))))
(- (+ (* 1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* (pow a 4) (pow c 3)))) (* 1/2 (/ 1 a))) (+ (* -1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* (pow a 2) c))) (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 3) (pow c 2))))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(+ (* -1 (/ (- (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 3) c))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) c)) (* 1/2 (/ 1 a)))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* (pow a 4) c))) (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (pow a 3)))) c)) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) c)) (* 1/2 (/ 1 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Calls

9 calls:

TimeVariablePointExpression
35.0ms
c
@-inf
((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (/ (* -2 c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (sqrt (+ (* (* c a) -4) (* b b))) (* 2 c) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* -2 c) (sqrt (- (* b b) (* (* 4 a) c))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
9.0ms
b
@0
((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (/ (* -2 c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (sqrt (+ (* (* c a) -4) (* b b))) (* 2 c) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* -2 c) (sqrt (- (* b b) (* (* 4 a) c))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
8.0ms
c
@0
((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (/ (* -2 c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (sqrt (+ (* (* c a) -4) (* b b))) (* 2 c) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* -2 c) (sqrt (- (* b b) (* (* 4 a) c))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
6.0ms
a
@0
((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (/ (* -2 c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (sqrt (+ (* (* c a) -4) (* b b))) (* 2 c) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* -2 c) (sqrt (- (* b b) (* (* 4 a) c))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
6.0ms
c
@inf
((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) 0) (/ (* -2 c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) 0) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (sqrt (+ (* (* c a) -4) (* b b))) (* 2 c) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* -2 c) (sqrt (- (* b b) (* (* 4 a) c))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify201.0ms (1.9%)

Memory
19.9MiB live, 206.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09355025
133354306
086684087
Stop Event
iter limit
node limit
Counts
139 → 138
Calls
Call 1
Inputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
0
(if (>= b 0) 0 (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(NAN)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2))))
(+ (* -8 (/ (* a (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))))
(+ (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* -32 (/ (* a (pow c 3)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))) (* -8 (/ (pow c 2) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))
(+ (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* -8 (/ (pow c 2) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* a (+ (* -128 (/ (* a (pow c 4)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 4))) (* -32 (/ (pow c 3) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))))))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ (* c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2))))) (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))))))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(if (>= b 0) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(/ 1/2 a)
(/ (+ 1/2 (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c)))) a)
(/ (+ 1/2 (+ (* 1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 2) (pow c 2)))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c))))) a)
(/ (+ 1/2 (+ (* 1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* (pow a 3) (pow c 3)))) (+ (* 1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 2) (pow c 2)))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c)))))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* -1 (/ (- (* -1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a c))) 1/2) a))
(* -1 (/ (- (* -1 (/ (+ (* 1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* a (pow c 2)))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) c))) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (pow c 2))) (* -1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* a (pow c 3))))) a)) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) c))) a)) 1/2) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(>= b 0)
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -1 b)
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(if (>= b 0) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(if (>= b 0) 0 (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 1/2 (/ (- (* -1 b) (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(if (>= b 0) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* c (- (* -8 (/ (* a c) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* 2 (/ 1 (+ (* -1 (pow b 2)) (pow b 2))))))
(* c (- (* c (+ (* -32 (/ (* (pow a 2) c) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))) (* -8 (/ a (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (* 2 (/ 1 (+ (* -1 (pow b 2)) (pow b 2))))))
(* c (- (* c (+ (* -8 (/ a (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* c (+ (* -128 (/ (* (pow a 3) c) (pow (+ (* -1 (pow b 2)) (pow b 2)) 4))) (* -32 (/ (pow a 2) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))))))) (* 2 (/ 1 (+ (* -1 (pow b 2)) (pow b 2))))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* 2 c)
(* -4 c)
(* -2 c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(+ (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* (pow a 2) c))) (* 1/2 (/ 1 a)))
(- (+ (* 1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 3) (pow c 2)))) (* 1/2 (/ 1 a))) (* -1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* (pow a 2) c))))
(- (+ (* 1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* (pow a 4) (pow c 3)))) (* 1/2 (/ 1 a))) (+ (* -1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* (pow a 2) c))) (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 3) (pow c 2))))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(+ (* -1 (/ (- (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 3) c))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) c)) (* 1/2 (/ 1 a)))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* (pow a 4) c))) (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (pow a 3)))) c)) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) c)) (* 1/2 (/ 1 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (+.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
0
#s(literal 0 binary64)
(if (>= b 0) 0 (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(if (>=.f64 b #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))))
(NAN)
(NAN.f64)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -1 (pow b 2)) (pow b 2))
#s(literal 0 binary64)
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) #s(literal 0 binary64))
(* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2))))
(*.f64 (/.f64 c #s(literal 0 binary64)) #s(literal -2 binary64))
(+ (* -8 (/ (* a (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) #s(literal 0 binary64)) #s(literal -8 binary64) (*.f64 (/.f64 c #s(literal 0 binary64)) #s(literal -2 binary64)))
(+ (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* -32 (/ (* a (pow c 3)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))) (* -8 (/ (pow c 2) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) #s(literal 0 binary64)) #s(literal -8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal 0 binary64)) #s(literal -32 binary64))) a (*.f64 (/.f64 c #s(literal 0 binary64)) #s(literal -2 binary64)))
(+ (* -2 (/ c (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* -8 (/ (pow c 2) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))) (* a (+ (* -128 (/ (* a (pow c 4)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 4))) (* -32 (/ (pow c 3) (pow (+ (* -1 (pow b 2)) (pow b 2)) 3))))))))
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ (* c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2))))) (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 a #s(literal 4 binary64) #s(literal 0 binary64)))
(+ (* -1 (/ (- (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (* (pow a 3) c))) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) c)) (* 1/2 (/ 1 a)))
(/.f64 #s(literal 1/2 binary64) a)
(+ (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 3) (* (pow a 4) c))) (* -1/32 (/ (pow (+ (* -1 (pow b 2)) (pow b 2)) 2) (pow a 3)))) c)) (* 1/8 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2)))) c)) (* 1/2 (/ 1 a)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 0 binary64) #s(literal 0 binary64)) c) #s(literal -1 binary64) #s(literal 0 binary64)) c) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 b (/.f64 c a))) c) #s(literal -1/2 binary64)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 b (/.f64 c a)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 b (/.f64 c a))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 b (/.f64 c a))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 b (/.f64 c a)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 b (/.f64 c a)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 b (/.f64 c a)))) a) #s(literal -1/8 binary64))) c))) (neg.f64 c))) c)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.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 b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))))

rewrite202.0ms (1.9%)

Memory
-6.0MiB live, 269.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068461
0109432
1338423
22117423
09285423
Stop Event
iter limit
node limit
iter limit
Counts
23 → 566
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(*.f64 #s(literal 2 binary64) c)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 #s(literal -2 binary64) c)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1/2 binary64)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64))) (neg.f64 a))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) a)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) #s(literal -1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(literal 0 binary64)
(if (>=.f64 b #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 b #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (/.f64 b #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 b #s(literal 0 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64))))))
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(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
(*.f64 (neg.f64 c) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) c)
(*.f64 #s(literal 2 binary64) (neg.f64 c))
(*.f64 c #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (pow.f64 (neg.f64 c) #s(literal 3 binary64))) (fma.f64 c c (-.f64 (*.f64 c c) (*.f64 c c))))
(neg.f64 (*.f64 #s(literal 2 binary64) c))
(+.f64 (neg.f64 c) (neg.f64 c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
(neg.f64 b)
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (neg.f64 b) b))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) b) b)))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b))))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))

eval256.0ms (2.4%)

Memory
-20.4MiB live, 286.0MiB allocated
Compiler

Compiled 79 372 to 4 736 computations (94% saved)

prune31.0ms (0.3%)

Memory
46.4MiB live, 91.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1 11881 126
Fresh11112
Picked505
Done000
Total1 13491 143
Accuracy
91.1%
Counts
1 143 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
71.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
48.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(approx (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
56.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
54.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
53.9%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
67.1%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
71.1%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
48.9%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)))
Compiler

Compiled 1 082 to 624 computations (42.3% saved)

simplify174.0ms (1.6%)

Memory
-18.7MiB live, 168.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
cost-diff0
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
cost-diff1
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
cost-diff0
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
cost-diff1
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
cost-diff0
(*.f64 #s(literal 2 binary64) c)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
cost-diff0
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
cost-diff0
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
cost-diff1
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
cost-diff0
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
cost-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0961023
01531031
12391003
2474994
31377984
45600984
08057978
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c)
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
#s(literal -2 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))
(*.f64 #s(literal 2 binary64) c)
c
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
a
(*.f64 b b)
b
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(/.f64 b a)
a
#s(literal -1 binary64)
(/.f64 c b)
c
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
#s(literal -4 binary64)
(*.f64 b b)
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 b b)
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(/.f64 c (*.f64 b b))
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 b)
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 (*.f64 c a) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c)
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
#s(literal -2 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))
(*.f64 #s(literal 2 binary64) c)
c
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
a
(*.f64 b b)
b
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 b a)
a
#s(literal -1 binary64)
(/.f64 c b)
c
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 c a)
#s(literal -4 binary64)
(*.f64 b b)
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 b b)
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)) b)
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 (/.f64 c b) b) a)
(/.f64 c (*.f64 b b))
(/.f64 (/.f64 c b) b)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 b)

localize369.0ms (3.5%)

Memory
-2.2MiB live, 388.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy12.064794489712922
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)
accuracy15.693415664616014
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
accuracy23.293111479464024
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
accuracy40.23600300708611
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
accuracy3.050399727854566
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
accuracy12.064794489712922
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
accuracy23.293111479464024
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
accuracy43.722312266960316
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
accuracy0.8046875000000001
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
accuracy3.050399727854566
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
accuracy12.064794489712922
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
accuracy23.293111479464024
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
accuracy15.693415664616014
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
accuracy20.33379489192585
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
accuracy23.293111479464024
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
accuracy40.37138014877853
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
accuracy12.064794489712922
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
accuracy15.693415664616014
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy23.293111479464024
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy23.293111479464024
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
123.0ms67×2valid
86.0ms84×1valid
45.0ms14×3valid
36.0ms91×0valid
Compiler

Compiled 842 to 64 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 223.0ms
adjust: 90.0ms (40.4% of total)
ival-mult: 40.0ms (18% of total)
ival-add: 30.0ms (13.5% of total)
ival-div: 27.0ms (12.1% of total)
ival-sqrt: 13.0ms (5.8% of total)
ival-sub: 11.0ms (4.9% of total)
ival-if: 8.0ms (3.6% of total)
ival->=: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory
-5.6MiB live, 81.6MiB allocated
Counts
34 → 231
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
(>=.f64 b #s(literal 0 binary64))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)
Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(* -1 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
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(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
a
@-inf
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) c)) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (+ (* (* -4 c) a) (* b b))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (- (sqrt (+ (* (* c a) -4) (* b b))) b))
6.0ms
c
@-inf
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) c)) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (+ (* (* -4 c) a) (* b b))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (- (sqrt (+ (* (* c a) -4) (* b b))) b))
4.0ms
c
@inf
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) c)) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (+ (* (* -4 c) a) (* b b))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (- (sqrt (+ (* (* c a) -4) (* b b))) b))
3.0ms
a
@inf
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) c)) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (+ (* (* -4 c) a) (* b b))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (- (sqrt (+ (* (* c a) -4) (* b b))) b))
3.0ms
b
@0
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) c)) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (+ (* (* -4 c) a) (* b b))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (* 2 c) (- (sqrt (+ (* (* c a) -4) (* b b))) b)) (sqrt (+ (* (* c a) -4) (* b b))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (- (sqrt (+ (* (* c a) -4) (* b b))) b))

simplify279.0ms (2.6%)

Memory
31.2MiB live, 218.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010926803
138196744
083596411
Stop Event
iter limit
node limit
Counts
231 → 230
Calls
Call 1
Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(* -1 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(if (>= b 0) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(* -1 b)
(neg.f64 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64) (neg.f64 b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b))
(* 2 (/ (* a c) b))
(*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal 2 binary64))) a)
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a)
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a (*.f64 #s(literal 2 binary64) b))
(* -4 (* a c))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/16 binary64))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a)) (/.f64 b #s(literal -4 binary64)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a)) (/.f64 b #s(literal -4 binary64))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) a) (fma.f64 (/.f64 (fma.f64 (*.f64 b (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)))) (pow.f64 a #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a)) (/.f64 b #s(literal -4 binary64)))))) a)
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(*.f64 (fma.f64 (/.f64 c b) #s(literal 2 binary64) (/.f64 (neg.f64 b) a)) a)
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
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(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c) #s(literal -1 binary64) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c) #s(literal -1 binary64) b) (neg.f64 c))))

rewrite547.0ms (5.2%)

Memory
-2.3MiB live, 187.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096758
0152762
1451739
22679739
08804739
Stop Event
iter limit
node limit
iter limit
Counts
34 → 714
Calls
Call 1
Inputs
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
(>=.f64 b #s(literal 0 binary64))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)
Outputs
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fabs.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)))))
(/.f64 (fabs.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fabs.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fabs.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) b) b)))))
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(fma.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) b)
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) b)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b)
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64)) b)
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) b)
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(-.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 b b)))) (neg.f64 (neg.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)) (*.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (*.f64 b b))) (*.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 3 binary64)) (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)))) (*.f64 (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64))) (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)) (*.f64 b b)) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)) (/.f64 (*.f64 b b) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 3 binary64)) (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b) (pow.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) #s(literal 2 binary64)))))
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)

eval281.0ms (2.7%)

Memory
-20.0MiB live, 164.5MiB allocated
Compiler

Compiled 55 232 to 4 325 computations (92.2% saved)

prune137.0ms (1.3%)

Memory
-10.8MiB live, 59.9MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New72711738
Fresh134
Picked415
Done000
Total73215747
Accuracy
91.1%
Counts
747 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
48.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(approx (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
55.9%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
56.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
54.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
33.0%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (fma.f64 (/.f64 c (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 c (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
53.9%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
29.4%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
53.8%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
0.0%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
67.1%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
67.5%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
62.2%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) #s(approx (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (*.f64 (fma.f64 (/.f64 c b) #s(literal 2 binary64) (/.f64 (neg.f64 b) a)) a))) b))))
71.1%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
48.9%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)))
Compiler

Compiled 2 105 to 1 138 computations (45.9% saved)

simplify179.0ms (1.7%)

Memory
31.3MiB live, 169.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) c)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
cost-diff0
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
cost-diff7
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
cost-diff0
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
cost-diff1
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
cost-diff0
(*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
cost-diff0
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
cost-diff0
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
cost-diff0
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
cost-diff0
#s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
cost-diff0
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
cost-diff0
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
cost-diff1
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094990
0139988
1238981
2490942
31543917
46306917
08020911
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(/.f64 b a)
a
#s(literal -1 binary64)
(/.f64 c b)
c
(/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(+.f64 c c)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
#s(literal -4 binary64)
(*.f64 b b)
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
#s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 (/.f64 c a))
(/.f64 c a)
c
a
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
c
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
a
(*.f64 b b)
b
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 b b)
#s(literal -1/2 binary64)
(/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))
(+.f64 c c)
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(/.f64 c (*.f64 b b))
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 b)
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(neg.f64 b)
b
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
a
(*.f64 b b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
Outputs
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 b a)
a
#s(literal -1 binary64)
(/.f64 c b)
c
(/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(+.f64 c c)
(*.f64 #s(literal 2 binary64) c)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 c a)
#s(literal -4 binary64)
(*.f64 b b)
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
#s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 (/.f64 c a))
(/.f64 c a)
c
a
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
c
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
a
(*.f64 b b)
b
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)) b)))
(>=.f64 b #s(literal 0 binary64))
b
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 b b)
#s(literal -1/2 binary64)
(/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)) b))
(+.f64 c c)
(*.f64 #s(literal 2 binary64) c)
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)
(-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)) b)
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -1 binary64)) b)
(fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 1 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 (/.f64 c b) b) a)
(/.f64 c (*.f64 b b))
(/.f64 (/.f64 c b) b)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 b)
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(neg.f64 b)
b
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
a
(*.f64 b b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))

localize250.0ms (2.4%)

Memory
-36.4MiB live, 295.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal -4 binary64) c)
accuracy0.0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.0
(neg.f64 b)
accuracy0.0
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
accuracy0.0
(neg.f64 b)
accuracy0.0
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
accuracy0.0
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
accuracy1.0
(>=.f64 b #s(literal 0 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.0
(*.f64 #s(literal -4 binary64) c)
accuracy0.0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.0
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
accuracy0.0
(sqrt.f64 #s(literal -1 binary64))
accuracy0.0
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
accuracy0.0
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
accuracy0.0
#s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
accuracy0.0
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
accuracy0.0
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
accuracy0.0
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
accuracy1.0
(>=.f64 b #s(literal 0 binary64))
Samples
162.0ms256×0invalid
Compiler

Compiled 790 to 73 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 50.0ms (38.9% of total)
ival-sub: 28.0ms (21.8% of total)
ival-div: 19.0ms (14.8% of total)
ival-sqrt: 13.0ms (10.1% of total)
ival-add: 11.0ms (8.6% of total)
ival-if: 4.0ms (3.1% of total)
ival-neg: 2.0ms (1.6% of total)
ival->=: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory
35.3MiB live, 80.8MiB allocated
Counts
27 → 195
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
#s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 #s(literal 2 binary64) c)
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 #s(literal -1 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 b b)
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
(neg.f64 b)
Outputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* 4 (/ (* b c) (+ (* -1 (pow b 2)) (pow b 2))))
(+ (* 2 (* a (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (* 4 (/ (* b c) (+ (* -1 (pow b 2)) (pow b 2)))))
(+ (* 4 (/ (* b c) (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* 2 (* a (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))))
(+ (* 4 (/ (* b c) (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* 2 (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (* a (+ (* 2 (* a (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2)))))))))))
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* 2 (/ (* a c) b))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* -4 (* a c))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 2 (/ (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* 2 (/ (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) (pow a 2)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* (pow a 3) c))) (+ (* 2 (/ (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* 2 (/ (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) (pow a 2))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -2 (/ (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -2 (/ (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) a)) (* 2 (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* a c))) (* 2 (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c))))) a)) (* 2 (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(>= b 0)
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(pow b 2)
(* b (- (/ c (pow b 2)) (/ 1 a)))
(if (>= b 0) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* c (+ (* 2 (* c (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (* 4 (/ b (+ (* -1 (pow b 2)) (pow b 2))))))
(* c (+ (* 4 (/ b (+ (* -1 (pow b 2)) (pow b 2)))) (* c (+ (* 2 (* c (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))))))
(* c (+ (* 4 (/ b (+ (* -1 (pow b 2)) (pow b 2)))) (* c (+ (* 2 (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (* c (+ (* 2 (* c (- (* -4 (/ (pow a 3) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2))))))))))))
(* 2 c)
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -4 c)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* -1 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 2 (/ (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* 2 (/ (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* 2 (/ (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) (pow c 2))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* 1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a (pow c 3)))) (+ (* 2 (/ (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* 2 (/ (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) (pow c 2)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -2 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) c))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (/ (+ (* -2 (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a c)))) c))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
b
@inf
((+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* (neg (sqrt -1)) (sqrt (/ c a))) (neg (sqrt -1)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (* c (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* 2 c) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt -1) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* b b) (sqrt (+ (* (* c a) -4) (* b b))) (neg b))
7.0ms
c
@0
((+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* (neg (sqrt -1)) (sqrt (/ c a))) (neg (sqrt -1)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (* c (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* 2 c) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt -1) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* b b) (sqrt (+ (* (* c a) -4) (* b b))) (neg b))
6.0ms
a
@-inf
((+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* (neg (sqrt -1)) (sqrt (/ c a))) (neg (sqrt -1)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (* c (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* 2 c) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt -1) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* b b) (sqrt (+ (* (* c a) -4) (* b b))) (neg b))
6.0ms
c
@-inf
((+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* (neg (sqrt -1)) (sqrt (/ c a))) (neg (sqrt -1)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (* c (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* 2 c) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt -1) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* b b) (sqrt (+ (* (* c a) -4) (* b b))) (neg b))
5.0ms
a
@inf
((+ (* (/ b a) -1) (/ c b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (>= b 0) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (* (neg (sqrt -1)) (sqrt (/ c a))) (neg (sqrt -1)) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (* c (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (/ (+ c c) (- (sqrt (+ (* (* c a) -4) (* b b))) b))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* 2 c) (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt -1) (sqrt (+ (* (* -4 c) a) (* b b))) (* -4 c) (* b b) (sqrt (+ (* (* c a) -4) (* b b))) (neg b))

simplify212.0ms (2%)

Memory
-27.4MiB live, 306.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012787271
148016662
087336324
Stop Event
iter limit
node limit
Counts
195 → 194
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* -1 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* 4 (/ (* b c) (+ (* -1 (pow b 2)) (pow b 2))))
(+ (* 2 (* a (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (* 4 (/ (* b c) (+ (* -1 (pow b 2)) (pow b 2)))))
(+ (* 4 (/ (* b c) (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* 2 (* a (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))))
(+ (* 4 (/ (* b c) (+ (* -1 (pow b 2)) (pow b 2)))) (* a (+ (* 2 (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (* a (+ (* 2 (* a (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* b (pow c 2)) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2)))))))))))
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* 2 (/ (* a c) b))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* -4 (* a c))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 2 (/ (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* 2 (/ (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) (pow a 2)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* (pow a 3) c))) (+ (* 2 (/ (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* 2 (/ (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) (pow a 2))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -2 (/ (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -2 (/ (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) a)) (* 2 (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* a c))) (* 2 (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c))))) a)) (* 2 (- (* 1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(>= b 0)
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(pow b 2)
(* b (- (/ c (pow b 2)) (/ 1 a)))
(if (>= b 0) (* -2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))))))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* c (+ (* 2 (* c (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (* 4 (/ b (+ (* -1 (pow b 2)) (pow b 2))))))
(* c (+ (* 4 (/ b (+ (* -1 (pow b 2)) (pow b 2)))) (* c (+ (* 2 (* c (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))))))
(* c (+ (* 4 (/ b (+ (* -1 (pow b 2)) (pow b 2)))) (* c (+ (* 2 (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (* c (+ (* 2 (* c (- (* -4 (/ (pow a 3) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -8 (/ (* a b) (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))) (+ (* -1 (pow b 2)) (pow b 2))))))))))))
(* 2 c)
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -4 c)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* -1 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 2 (/ (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* 2 (/ (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* 2 (/ (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) (pow c 2))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* 1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a (pow c 3)))) (+ (* 2 (/ (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* 2 (/ (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) (pow c 2)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -2 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) c))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (/ (+ (* -2 (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a c)))) c))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal 2 binary64)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal 2 binary64)))
(if (>= b 0) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (- b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) #s(literal 0 binary64)) a)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(literal 2 binary64)))
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (/ b (* a c)))
(/.f64 (neg.f64 b) (*.f64 c a))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (/.f64 a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) a (/.f64 (neg.f64 b) c)) a)
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(*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 b a) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) c) #s(literal 2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) c))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 b a) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 b a) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) a)))) c))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (/ (+ (* -2 (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a c)))) c))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 b a) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 b a) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) a)))) a) #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 b a) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) a)))) #s(literal -2 binary64))) (neg.f64 c))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c))) c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.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 b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.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 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.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 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/64 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))))

rewrite243.0ms (2.3%)

Memory
4.4MiB live, 331.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094695
0139667
1461657
22676657
08610657
Stop Event
iter limit
node limit
iter limit
Counts
27 → 428
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)))
(>=.f64 b #s(literal 0 binary64))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
#s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b)))
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 #s(literal 2 binary64) c)
#s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 #s(literal -1 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 b b)
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))
(neg.f64 b)
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 c b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 c b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 c b) (-.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 b) (*.f64 a (neg.f64 c)))) (neg.f64 (*.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) b (*.f64 c a))) (neg.f64 (*.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) b)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (fma.f64 c a (*.f64 b (*.f64 #s(literal -1 binary64) b)))) (neg.f64 (*.f64 b a)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))) (*.f64 (-.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) (pow.f64 (/.f64 c b) #s(literal 2 binary64)))) (*.f64 (-.f64 (neg.f64 (/.f64 b a)) (/.f64 c b)) (-.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 (/.f64 b a)) #s(literal 3 binary64)) (fma.f64 (/.f64 c b) (-.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 c b) (-.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (pow.f64 (/.f64 c b) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 c b) (-.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (fma.f64 (/.f64 c b) (-.f64 (/.f64 c b) (neg.f64 (/.f64 b a))) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (neg.f64 b) (*.f64 (neg.f64 a) (neg.f64 c))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (neg.f64 a) c)) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (neg.f64 b) (*.f64 (neg.f64 a) (neg.f64 c))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) b (*.f64 (neg.f64 a) c)) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1 binary64) b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 c)))) (*.f64 (neg.f64 a) (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1 binary64) b)) (neg.f64 b) (*.f64 (neg.f64 a) (neg.f64 c))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1 binary64) b)) b (*.f64 (neg.f64 a) c)) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (neg.f64 b)) (*.f64 a (neg.f64 (neg.f64 c)))) (*.f64 a (neg.f64 (neg.f64 b))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 b) #s(literal -1 binary64)))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -1 binary64) (neg.f64 b)))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 #s(literal -1 binary64) b)))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 c)) a (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -1 binary64) b))) (*.f64 (neg.f64 (neg.f64 b)) a))
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 a) (*.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal -1 binary64)))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 a) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (neg.f64 b)))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 a) (*.f64 (neg.f64 b) (neg.f64 (*.f64 #s(literal -1 binary64) b)))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 c (neg.f64 a) (*.f64 b (*.f64 (neg.f64 b) #s(literal -1 binary64)))) (*.f64 b (neg.f64 a)))
(/.f64 (fma.f64 c (neg.f64 a) (*.f64 b (*.f64 #s(literal -1 binary64) (neg.f64 b)))) (*.f64 b (neg.f64 a)))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (neg.f64 b) b))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) b) b)))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
(*.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (pow.f64 b #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 1 binary64)) (neg.f64 b)))
(neg.f64 b)

eval94.0ms (0.9%)

Memory
51.3MiB live, 140.5MiB allocated
Compiler

Compiled 69 092 to 4 302 computations (93.8% saved)

prune46.0ms (0.4%)

Memory
-36.1MiB live, 66.4MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New68312695
Fresh639
Picked415
Done011
Total69317710
Accuracy
95.6%
Counts
710 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
56.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
53.9%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
43.0%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(approx (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
53.8%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
21.8%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))))))
29.4%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
26.5%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))
21.9%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
37.2%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
4.2%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
37.3%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
20.0%
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
67.5%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 1 binary64)) (neg.f64 b))) b))))
62.2%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) #s(approx (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (*.f64 (fma.f64 (/.f64 c b) #s(literal 2 binary64) (/.f64 (neg.f64 b) a)) a))) b))))
31.9%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b)) b))))
48.9%
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)))
Compiler

Compiled 4 557 to 989 computations (78.3% saved)

regimes96.0ms (0.9%)

Memory
-1.1MiB live, 44.2MiB allocated
Counts
49 → 6
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b)) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(approx (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) #s(approx (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (*.f64 (fma.f64 (/.f64 c b) #s(literal 2 binary64) (/.f64 (neg.f64 b) a)) a))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) #s(approx (* (+ (* (* a (/ c (* b b))) -2) 1) (neg b)) (*.f64 (fma.f64 (/.f64 c b) #s(literal 2 binary64) (/.f64 (neg.f64 b) a)) a))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 1 binary64)) (neg.f64 b))) b))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 #s(approx (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 b #s(literal -2 binary64)) a) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 a a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (fma.f64 (/.f64 c (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 c (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (fma.f64 (/.f64 c (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (neg.f64 c) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b)) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Calls

4 calls:

40.0ms
a
18.0ms
c
18.0ms
b
15.0ms
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Results
AccuracySegmentsBranch
88.2%9(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
76.1%44a
88.5%6b
76.8%29c
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes7.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
13 → 5
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
87.2%5b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
10 → 6
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Calls

2 calls:

4.0ms
b
4.0ms
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Results
AccuracySegmentsBranch
72.8%9(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
81.4%6b
Compiler

Compiled 39 to 23 computations (41% saved)

regimes5.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
9 → 5
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
79.5%5b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
8 → 5
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
67.9%5b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Calls

2 calls:

3.0ms
b
3.0ms
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Results
AccuracySegmentsBranch
55.8%5(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
62.7%4b
Compiler

Compiled 39 to 23 computations (41% saved)

regimes3.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a)))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
55.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Calls

2 calls:

1.0ms
b
1.0ms
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Results
AccuracySegmentsBranch
38.9%3(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
38.9%3b
Compiler

Compiled 39 to 23 computations (41% saved)

regimes1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(literal -1 binary64) b))))
Outputs
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Calls

1 calls:

1.0ms
b
Results
AccuracySegmentsBranch
37.3%1b
Compiler

Compiled 1 to 3 computations (-200% saved)

bsearch176.0ms (1.7%)

Memory
-28.1MiB live, 75.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
69.0ms
1.93578052520032e+299
1.481442070959574e+300
16.0ms
1.530108348393642e+278
3.168868699167546e+279
14.0ms
6.294540600374757e+120
4.4206881929559005e+129
28.0ms
-2.047656378768614e-273
-1.1828056029203823e-281
37.0ms
-2.53090394544427e+157
-1.2051377827799571e+156
Samples
76.0ms560×0valid
6.0ms58×0invalid
Compiler

Compiled 5 323 to 2 833 computations (46.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 16.0ms (36.8% of total)
ival-div: 7.0ms (16.1% of total)
ival-sub: 6.0ms (13.8% of total)
ival-sqrt: 4.0ms (9.2% of total)
ival-add: 3.0ms (6.9% of total)
ival-neg: 3.0ms (6.9% of total)
ival-if: 2.0ms (4.6% of total)
ival->=: 2.0ms (4.6% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch166.0ms (1.6%)

Memory
-18.0MiB live, 76.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.8274484838237206e+148
8.601168239480957e+149
29.0ms
1.7461823041100173e-167
9.433725224464764e-150
54.0ms
3.297815536963901e-239
3.763431058070647e-235
1.0ms
-2.53090394544427e+157
-1.2051377827799571e+156
Samples
40.0ms107×0invalid
39.0ms400×0valid
Compiler

Compiled 4 752 to 2 524 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 13.0ms (37.2% of total)
ival-div: 5.0ms (14.3% of total)
ival-sub: 4.0ms (11.4% of total)
ival-sqrt: 3.0ms (8.6% of total)
ival-add: 2.0ms (5.7% of total)
ival-if: 2.0ms (5.7% of total)
ival->=: 2.0ms (5.7% of total)
ival-neg: 2.0ms (5.7% of total)
exact: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch76.0ms (0.7%)

Memory
35.6MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.481442070959574e+300
1.2652899237623356e+308
20.0ms
2.9008759005979968e+141
1.8274484838237206e+148
23.0ms
1.7461823041100173e-167
9.433725224464764e-150
1.0ms
3.297815536963901e-239
3.763431058070647e-235
1.0ms
-2.53090394544427e+157
-1.2051377827799571e+156
Samples
40.0ms416×0valid
4.0ms37×0invalid
Compiler

Compiled 5 980 to 3 099 computations (48.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 11.0ms (35.9% of total)
ival-div: 4.0ms (13% of total)
ival-sub: 4.0ms (13% of total)
ival-sqrt: 3.0ms (9.8% of total)
ival-add: 2.0ms (6.5% of total)
ival-if: 2.0ms (6.5% of total)
ival-neg: 2.0ms (6.5% of total)
ival->=: 1.0ms (3.3% of total)
exact: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch62.0ms (0.6%)

Memory
-34.5MiB live, 12.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.93578052520032e+299
1.481442070959574e+300
1.0ms
2.9008759005979968e+141
1.8274484838237206e+148
54.0ms
9.433725224464764e-150
3.8247553474150575e-147
1.0ms
-2.53090394544427e+157
-1.2051377827799571e+156
Samples
13.0ms128×0valid
4.0ms37×0invalid
Compiler

Compiled 3 928 to 2 083 computations (47% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (35.1% of total)
ival-div: 2.0ms (17.5% of total)
ival-add: 1.0ms (8.8% of total)
ival-if: 1.0ms (8.8% of total)
ival-sub: 1.0ms (8.8% of total)
ival-sqrt: 1.0ms (8.8% of total)
ival-neg: 1.0ms (8.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch65.0ms (0.6%)

Memory
24.9MiB live, 24.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.93578052520032e+299
1.481442070959574e+300
1.0ms
2.9008759005979968e+141
1.8274484838237206e+148
32.0ms
8.509570998329183e-219
7.49741482998066e-181
22.0ms
-3.0148098851657165e-134
-6.168711150542847e-136
Samples
28.0ms288×0valid
10.0ms104×0invalid
Compiler

Compiled 4 429 to 2 344 computations (47.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 10.0ms (36.9% of total)
ival-div: 4.0ms (14.7% of total)
ival-sub: 3.0ms (11.1% of total)
ival-add: 2.0ms (7.4% of total)
ival-if: 2.0ms (7.4% of total)
ival-sqrt: 2.0ms (7.4% of total)
ival-neg: 2.0ms (7.4% of total)
ival->=: 1.0ms (3.7% of total)
exact: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.827897563408079e+288
2.177708063963479e+292
2.0ms
8.509570998329183e-219
7.49741482998066e-181
1.0ms
-3.0148098851657165e-134
-6.168711150542847e-136
Samples
12.0ms128×0valid
Compiler

Compiled 3 981 to 2 070 computations (48% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.5% of total)
ival-div: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-if: 1.0ms (11.5% of total)
ival-sub: 1.0ms (11.5% of total)
ival-sqrt: 1.0ms (11.5% of total)
ival-neg: 1.0ms (11.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch75.0ms (0.7%)

Memory
-39.3MiB live, 12.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
5.827897563408079e+288
2.177708063963479e+292
28.0ms
-2.102406059328515e-308
5.121446780225804e-297
Samples
16.0ms160×0valid
4.0ms43×0invalid
Compiler

Compiled 2 741 to 1 394 computations (49.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (34.7% of total)
ival-div: 2.0ms (13.9% of total)
ival-sub: 2.0ms (13.9% of total)
ival-add: 1.0ms (6.9% of total)
ival-if: 1.0ms (6.9% of total)
ival-sqrt: 1.0ms (6.9% of total)
ival->=: 1.0ms (6.9% of total)
ival-neg: 1.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch58.0ms (0.5%)

Memory
20.7MiB live, 20.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.0361489743293628e+204
7.962364746628537e+212
30.0ms
-6.452442850489463e-256
-2.9874978365953523e-264
Samples
28.0ms288×0valid
8.0ms75×0invalid
Compiler

Compiled 3 029 to 1 430 computations (52.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (35.7% of total)
ival-div: 4.0ms (15.8% of total)
ival-sub: 3.0ms (11.9% of total)
ival-add: 2.0ms (7.9% of total)
ival-sqrt: 2.0ms (7.9% of total)
ival-neg: 2.0ms (7.9% of total)
ival-if: 1.0ms (4% of total)
ival->=: 1.0ms (4% of total)
exact: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify60.0ms (0.6%)

Memory
18.7MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01742659
12752627
24862435
312172371
435612313
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal -1961990857885011/163499238157084246970890052651977815332245607254872681799888670100456398181905536269103756533156716633238933245476249210386222120009203192687752953715493389952614864728152938620316690140722215910002962984513038253533659992483501702257775023591263777382983344691261934931342007929269781293292322816 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) (if (<=.f64 b #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64))) (if (<=.f64 b #s(literal 3099999999999999839638081109050231217739550607914882736860711284678288812485056190783001708565294232438989754758619977143110607036132475754317583292956186322284348472154094177865127448749431225258715942976143165115354765780451928528031118858673069891067843845051433330267855519744 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b)) b)))) (if (<=.f64 b #s(literal 1449999999999999927430211522268103080815229627616774761501968301552667658506730952296172777826212048346539993942046564376694279671975319289226424113450154346047103331104072337122769794256455336317443998760933972896448044371359358669333375789243197801430031208923274120910757175320293478578381249314816 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a))))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))))))))
(if (<=.f64 b #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal 5155002705325493/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) (if (<=.f64 b #s(literal 597530241918863/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c)))) (if (<=.f64 b #s(literal 849999999999999956453804585486510006387509216125600935865939062856557834817244326255880224071365854436132349460115896095887417246545470848450806415360 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))))))
(if (<=.f64 b #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal 5155002705325493/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) (if (<=.f64 b #s(literal 6925251241246927/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c)))) (if (<=.f64 b #s(literal 18000000000000000313738324996766487190640861151049847533628449705655794149766707501027723687858848749689276794139399387371241787640475023333933449216 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) (if (<=.f64 b #s(literal 125000000000000001372382953680056927175615387096639807921013353628946981756139364421454161223118361123826562087151465644514487854678925110410383761497682557539089580628666283982121862124485698804172980582706251473033622032766181472035113994733384322653479962714730518881614753616509841591218607144287778897920 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c)))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))))))))
(if (<=.f64 b #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal 6838348967705659/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) (if (<=.f64 b #s(literal 18000000000000000313738324996766487190640861151049847533628449705655794149766707501027723687858848749689276794139399387371241787640475023333933449216 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) (if (<=.f64 b #s(literal 1449999999999999927430211522268103080815229627616774761501968301552667658506730952296172777826212048346539993942046564376694279671975319289226424113450154346047103331104072337122769794256455336317443998760933972896448044371359358669333375789243197801430031208923274120910757175320293478578381249314816 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a))))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))))))
(if (<=.f64 b #s(literal -1636695303948071/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal 6914470004818789/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) (if (<=.f64 b #s(literal 18000000000000000313738324996766487190640861151049847533628449705655794149766707501027723687858848749689276794139399387371241787640475023333933449216 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) (if (<=.f64 b #s(literal 1449999999999999927430211522268103080815229627616774761501968301552667658506730952296172777826212048346539993942046564376694279671975319289226424113450154346047103331104072337122769794256455336317443998760933972896448044371359358669333375789243197801430031208923274120910757175320293478578381249314816 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a))))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))))))
(if (<=.f64 b #s(literal -1636695303948071/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal 6914470004818789/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) (if (<=.f64 b #s(literal 21000000000000001607885297617772912891404279828822727347883715093244421574935399978742230491451444245219203164162829680305694417444023461958126189363179312319656313875848868269500563540130063026465309733632267389107882865009729075759440875833605033450166453343057296766544283632865263447179264 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a))))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))))))
(if (<=.f64 b #s(literal -2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal 21000000000000001607885297617772912891404279828822727347883715093244421574935399978742230491451444245219203164162829680305694417444023461958126189363179312319656313875848868269500563540130063026465309733632267389107882865009729075759440875833605033450166453343057296766544283632865263447179264 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a))))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))))
(if (<=.f64 b #s(literal -850877900206251/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal 759999999999999976142064187706513587942765935104524469490778740392314169378139215834694080940675689332453903466968872405939936159068404675027184713018015863151544124288205054884351416728203155696557986219758190592 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 (*.f64 c b) #s(literal 0 binary64)) #s(literal 4 binary64)))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))))
#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))
Outputs
(if (<=.f64 b #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal -1961990857885011/163499238157084246970890052651977815332245607254872681799888670100456398181905536269103756533156716633238933245476249210386222120009203192687752953715493389952614864728152938620316690140722215910002962984513038253533659992483501702257775023591263777382983344691261934931342007929269781293292322816 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) (if (<=.f64 b #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64))) (if (<=.f64 b #s(literal 3099999999999999839638081109050231217739550607914882736860711284678288812485056190783001708565294232438989754758619977143110607036132475754317583292956186322284348472154094177865127448749431225258715942976143165115354765780451928528031118858673069891067843845051433330267855519744 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (* (/ (+ (sqrt (+ (* (* c a) -4) (* b b))) b) a) -1/2) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) (/.f64 (+.f64 c c) (-.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b) b)) b)))) (if (<=.f64 b #s(literal 1449999999999999927430211522268103080815229627616774761501968301552667658506730952296172777826212048346539993942046564376694279671975319289226424113450154346047103331104072337122769794256455336317443998760933972896448044371359358669333375789243197801430031208923274120910757175320293478578381249314816 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (neg.f64 b) (*.f64 c a))))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))))))))
(if (<=.f64 b #s(literal -1219999999999999911105092077264774313945355669323812219071403381475901455356087277884981014322554588464939966388941981252601131941666038599769863292436086784 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b)))) (if (<=.f64 b #s(literal 5155002705325493/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (+.f64 c c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) (if (<=.f64 b #s(literal 597530241918863/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c)))) (if (<=.f64 b #s(literal 849999999999999956453804585486510006387509216125600935865939062856557834817244326255880224071365854436132349460115896095887417246545470848450806415360 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ (* -2 c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b)))) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64))) #s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (*.f64 c #s(approx (/ 2 (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) c))))))))
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#s(approx (if (>= b 0) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) #s(approx (/ (* 2 c) (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 c (neg.f64 b))))

soundness1.7s (15.6%)

Memory
-32.8MiB live, 669.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010926803
138196744
083596411
020120
033120
195120
2607116
37718116
08456108
09355025
133354306
086684087
094695
0139667
1461657
22676657
08610657
09014710
132004629
082084403
096758
0152762
1451739
22679739
08804739
012787271
148016662
087336324
Stop Event
fuel
iter limit
node limit
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
iter limit
node limit
Compiler

Compiled 3 909 to 1 069 computations (72.7% saved)

preprocess73.0ms (0.7%)

Memory
-8.0MiB live, 35.7MiB allocated
Compiler

Compiled 5 394 to 410 computations (92.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...