Quadratic roots, full range

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze260.0ms (4.3%)

Memory
41.3MiB live, 417.8MiB allocated; 69ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.0s (33.6%)

Memory
17.4MiB live, 3 623.7MiB allocated; 556ms collecting garbage
Samples
596.0ms5 566×0valid
360.0ms1 200×2valid
358.0ms1 318×1valid
102.0ms941×0invalid
55.0ms172×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 339.0ms (32.1% of total)
ival-sub: 162.0ms (15.3% of total)
ival-sqrt: 140.0ms (13.2% of total)
ival-div: 139.0ms (13.1% of total)
adjust: 131.0ms (12.4% of total)
ival-add: 76.0ms (7.2% of total)
ival-neg: 57.0ms (5.4% of total)
exact: 11.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain271.0ms (4.5%)

Memory
-24.5MiB live, 444.2MiB allocated; 103ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
540-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
300-3(-5.486580698466481e-186 1.2598495154045887e-64 7.929380946036134e-195)(/.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))
10-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-a
00-0-#s(literal 4 binary64)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-(*.f64 #s(literal 4 binary64) a)
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-rescue1170
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow117
(*.f64 #s(literal 4 binary64) a)overflow2
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow31
(*.f64 b b)overflow98
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation540
/.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/n250
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow6
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow40
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow42
(*.f64 b b)underflow28
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue60
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow6
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow42
(*.f64 b b)underflow28
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue40
(*.f64 b b)overflow98
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow31
(*.f64 #s(literal 4 binary64) a)overflow2
/.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))n/o20
(*.f64 #s(literal 2 binary64) a)overflow2
*.f64(*.f64 (*.f64 #s(literal 4 binary64) a) c)n*o10
Confusion
Predicted +Predicted -
+1370
-2396
Precision
0.85625
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-23096
Precision?
0.85625
Recall?
1.0
Freqs
test
numberfreq
096
1113
245
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms326×0valid
25.0ms86×2valid
15.0ms80×1valid
7.0ms20×3valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 15.0ms (26.8% of total)
ival-div: 14.0ms (25% of total)
adjust: 8.0ms (14.3% of total)
ival-sqrt: 7.0ms (12.5% of total)
ival-sub: 4.0ms (7.1% of total)
ival-add: 4.0ms (7.1% of total)
ival-neg: 3.0ms (5.4% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess168.0ms (2.8%)

Memory
-7.0MiB live, 271.0MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058175
1183168
2524168
31076167
42241160
56079160
01417
02317
14317
210317
321817
441517
5117316
6522816
0814015
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.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))
Outputs
(/.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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.3%
(/.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))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify105.0ms (1.7%)

Memory
-3.2MiB live, 189.8MiB allocated; 12ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff1
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14370
210370
321870
441570
5117368
6522868
0814064
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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)
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)
Outputs
(/.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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b 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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)
(neg.f64 b)
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)

localize74.0ms (1.2%)

Memory
-5.3MiB live, 143.2MiB allocated; 25ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.8007812500000001
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy6.528937060709601
(/.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))
accuracy12.083414396532499
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy28.67427366253918
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
23.0ms163×0valid
22.0ms40×1valid
13.0ms43×2valid
3.0ms10×3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 17.0ms (42.2% of total)
ival-mult: 7.0ms (17.4% of total)
ival-sqrt: 6.0ms (14.9% of total)
adjust: 4.0ms (9.9% of total)
ival-div: 3.0ms (7.4% of total)
ival-sub: 2.0ms (5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.8%)

Memory
9.1MiB live, 55.6MiB allocated; 4ms collecting garbage
Counts
5 → 101
Calls
Call 1
Inputs
(+.f64 (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 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -4 (* a c))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* 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)))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (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)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (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)))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole 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)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole 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))))))))))
Calls

9 calls:

TimeVariablePointExpression
25.0ms
c
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
b
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
a
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
a
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms
b
@0
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite253.0ms (4.2%)

Memory
62.6MiB live, 229.9MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06634489
06744216
038003987
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
106 → 135
Calls
Call 1
Inputs
(+.f64 (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 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -4 (* a c))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* a (- (/ (pow b 2) a) (* 4 c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* 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)))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (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)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ (* (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)))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* 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))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole 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)))))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) #s(hole 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))))))))))
Outputs
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 c (*.f64 a #s(literal 4 binary64))))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 #s(literal -4 binary64) (*.f64 c a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.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))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.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))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
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#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
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#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal 4 binary64))) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
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#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b a)) a)))
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#s(approx (- (* b b) (* (* 4 a) c)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (*.f64 c #s(literal 4 binary64))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64))) a)))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 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) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (neg b) (neg.f64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #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 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) 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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)))) c))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 4 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) 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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (- (* b b) (* (* 4 a) 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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.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)) b) c)))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.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)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.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 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.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 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))))

eval20.0ms (0.3%)

Memory
1.1MiB live, 44.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 5 173 to 833 computations (83.9% saved)

prune33.0ms (0.5%)

Memory
-25.3MiB live, 34.6MiB allocated; 34ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New12311134
Fresh000
Picked101
Done000
Total12411135
Accuracy
99.4%
Counts
135 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
29.8%
(/.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))
20.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
24.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
38.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
35.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
27.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
36.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
15.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
17.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
Compiler

Compiled 576 to 440 computations (23.6% saved)

simplify103.0ms (1.7%)

Memory
22.7MiB live, 112.3MiB allocated; 10ms collecting garbage
Localize:

Found 19 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
044313
070313
1124303
2240299
3430291
4971285
53107285
67167285
08032285
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 c a)
c
a
#s(literal -1 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(/.f64 b c)
b
c
#s(literal -1 binary64)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(/.f64 a c)
a
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(*.f64 #s(literal -4 binary64) a)
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
a
c
(*.f64 b b)
b
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 (neg.f64 c) a)
(/.f64 c a)
c
a
#s(literal -1 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c (neg.f64 b)))
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c (neg.f64 b))
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c))
(/.f64 b c)
b
c
#s(literal -1 binary64)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(/.f64 a c)
a
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize130.0ms (2.2%)

Memory
0.3MiB live, 229.0MiB allocated; 32ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy3.209595141968475
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
accuracy5.9589401600734195
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
accuracy8.22806696598864
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
accuracy30.125126405406785
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
accuracy0.00390625
(*.f64 #s(literal -4 binary64) (*.f64 c a))
accuracy3.209595141968475
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
accuracy11.457761425830645
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
accuracy22.783431489063872
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
accuracy0.0
(*.f64 (/.f64 c a) #s(literal -1 binary64))
accuracy0.0
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
accuracy8.167368449698381
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
accuracy31.810311558590826
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
accuracy0.0
(/.f64 (neg.f64 b) a)
accuracy0.0
(neg.f64 b)
accuracy28.47257317383347
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy0.23425854851680633
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
accuracy3.209595141968475
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
accuracy5.957437010487174
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
accuracy16.807171731282377
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
Samples
38.0ms123×0valid
28.0ms89×0invalid
15.0ms18×2valid
10.0ms21×1valid
4.0ms3valid
Compiler

Compiled 266 to 39 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 33.0ms (48.6% of total)
ival-div: 11.0ms (16.2% of total)
ival-sqrt: 9.0ms (13.3% of total)
ival-add: 6.0ms (8.8% of total)
adjust: 5.0ms (7.4% of total)
ival-sub: 2.0ms (2.9% of total)
ival-neg: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (1.1%)

Memory
-30.8MiB live, 74.2MiB allocated; 52ms collecting garbage
Counts
20 → 195
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(*.f64 (/.f64 c a) #s(literal -1 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
Outputs
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* -4 (* c a)) #s(hole binary64 (* -4 (* a c))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* 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)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (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)))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* 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)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole 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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole 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))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
Calls

9 calls:

TimeVariablePointExpression
31.0ms
a
@0
((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4)))
7.0ms
c
@-inf
((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4)))
4.0ms
a
@inf
((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4)))
3.0ms
c
@0
((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4)))
3.0ms
c
@inf
((+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (* (/ c a) -1) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* -4 (* c a))) (* -4 (* c a)) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (/ a c) -4)))

rewrite162.0ms (2.7%)

Memory
12.5MiB live, 198.3MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08228186
08567631
042667427
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
215 → 279
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(*.f64 (/.f64 c a) #s(literal -1 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* -4 (* c a)) #s(hole binary64 (* -4 (* a c))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (* -4 (* c a))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* 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)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (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)))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* 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)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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))))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole 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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole 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))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
Outputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))))) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (*.f64 a #s(literal -4 binary64)) c)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (*.f64 a #s(literal -4 binary64)) c) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b)))))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 b b (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(-.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(+.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (*.f64 c #s(literal -4 binary64)) a)
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
(*.f64 c (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(fma.f64 (/.f64 (neg.f64 b) c) c (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))
(fma.f64 c (/.f64 (neg.f64 b) c) (*.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(+.f64 (*.f64 (/.f64 (neg.f64 b) c) c) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) c))
(+.f64 (*.f64 c (/.f64 (neg.f64 b) c)) (*.f64 c (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 b) c)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) (-.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b) c) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 b) c) (-.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (*.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c))
(fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b) c))
(fma.f64 #s(literal -1 binary64) (/.f64 b c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(-.f64 (/.f64 (neg.f64 b) c) (*.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))
(+.f64 (/.f64 (neg.f64 b) c) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
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(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
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(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
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#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
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#s(approx (+ (* (* -4 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a)))
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#s(approx (sqrt (* -4 (* c a))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)))
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)))
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#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -3 binary64)))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 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) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b))
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#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (neg.f64 b))
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#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (neg.f64 b) c))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (pow.f64 c #s(literal -1 binary64))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
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#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))
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#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) c)) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #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 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #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 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) 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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) b) c)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.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)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.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)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) b) c)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 b c))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))

eval33.0ms (0.6%)

Memory
-13.7MiB live, 77.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 10 648 to 1 215 computations (88.6% saved)

prune11.0ms (0.2%)

Memory
36.2MiB live, 36.2MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New2709279
Fresh606
Picked235
Done000
Total27812290
Accuracy
99.4%
Counts
290 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
29.8%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
12.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
24.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
38.0%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
35.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
27.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
36.3%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
17.0%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
15.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
Compiler

Compiled 640 to 477 computations (25.5% saved)

simplify94.0ms (1.6%)

Memory
-0.8MiB live, 97.2MiB allocated; 13ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff2
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff2
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)
cost-diff0
(neg.f64 b)
cost-diff0
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
cost-diff1
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))
cost-diff5
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))
cost-diff0
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
cost-diff0
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
cost-diff0
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
cost-diff1
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
cost-diff0
(/.f64 (neg.f64 c) a)
cost-diff0
(sqrt.f64 (/.f64 (neg.f64 c) a))
cost-diff0
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 (neg.f64 c) b)
cost-diff0
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066500
097500
1177476
2394467
31070452
43809441
57360441
08236431
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
c
a
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
c
(neg.f64 b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))
(neg.f64 b)
b
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
#s(literal -1 binary64)
(pow.f64 a #s(literal -1 binary64))
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c))
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 c a) #s(literal -1 binary64))
(*.f64 c a)
c
a
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (/.f64 b a) c)
(/.f64 b a)
b
(*.f64 #s(literal 2 binary64) a)
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
c
a
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
(-.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) b)
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a)))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 (*.f64 c #s(literal -4 binary64)) a)
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
c
(neg.f64 b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))
(-.f64 (/.f64 c b) (/.f64 b a))
(neg.f64 b)
b
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))
(-.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 c (*.f64 b b)))
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
#s(literal -1 binary64)
(pow.f64 a #s(literal -1 binary64))
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c))) c))
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c))) c)
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c)))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (/.f64 (neg.f64 b) c))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) (*.f64 #s(literal 2 binary64) a) (/.f64 b c))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a))) #s(literal 2 binary64) (/.f64 b (*.f64 c a)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)))
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
(pow.f64 (*.f64 c a) #s(literal -1 binary64))
(*.f64 c a)
c
a
#s(literal -1 binary64)
#s(literal 2 binary64)
(/.f64 (/.f64 b a) c)
(/.f64 b (*.f64 c a))
(/.f64 b a)
b
(*.f64 #s(literal 2 binary64) a)

localize762.0ms (12.7%)

Memory
-122.8MiB live, 511.1MiB allocated; 1.0s collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy6.190686605205327
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)
accuracy9.024540362118492
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)))
accuracy11.36954844964728
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy30.125126405406785
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c))
accuracy0.00390625
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))
accuracy4.070445655645676
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))
accuracy4.4971753080200125
(/.f64 c (*.f64 b b))
accuracy28.326880656609337
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
accuracy3.209595141968475
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
accuracy5.957437010487174
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
accuracy16.807171731282377
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
accuracy20.712774669023588
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
accuracy0.0
(neg.f64 c)
accuracy8.167368449698381
(sqrt.f64 (/.f64 (neg.f64 c) a))
accuracy31.810311558590826
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
accuracy40.989954994236314
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
accuracy0.0
(/.f64 (neg.f64 c) b)
accuracy0.0
(neg.f64 c)
accuracy29.935189890537885
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
Samples
613.0ms89×0invalid
66.0ms123×0valid
23.0ms18×2valid
16.0ms21×1valid
6.0ms3valid
Compiler

Compiled 338 to 56 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-mult: 126.0ms (63.9% of total)
ival-div: 21.0ms (10.7% of total)
ival-pow: 16.0ms (8.1% of total)
ival-sqrt: 10.0ms (5.1% of total)
adjust: 8.0ms (4.1% of total)
ival-add: 8.0ms (4.1% of total)
ival-neg: 6.0ms (3% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.8%)

Memory
27.1MiB live, 119.3MiB allocated; 8ms collecting garbage
Counts
22 → 206
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
(neg.f64 b)
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c))
(/.f64 c (*.f64 b b))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ 1 a)))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
#s(approx (* (pow (* c a) -1) -1) #s(hole binary64 (/ -1 (* a c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (* (pow (* c a) -1) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* -1 (/ c (pow b 2)))))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* -1 (* a (+ (* -2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b (* a c))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (neg c) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* 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)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (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)))))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) (pow b 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* 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)))))
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -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)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (/ b c)))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* b (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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))))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* -1 (* b (- (* -2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (/ (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole 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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole 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))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Calls

9 calls:

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

rewrite179.0ms (3%)

Memory
-11.1MiB live, 218.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08788717
09178146
045847834
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
228 → 280
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b))
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c)))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
(neg.f64 b)
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c))
(/.f64 c (*.f64 b b))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (neg c) a) #s(hole binary64 (* -1 (/ c a))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* -2 (/ (* a c) b)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (+ (* -4 (* a c)) (pow b 2))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ 1 a)))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
#s(approx (* (pow (* c a) -1) -1) #s(hole binary64 (/ -1 (* a c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (* (pow (* c a) -1) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
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#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -4 (* a c))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* a (+ (* -4 c) (/ (pow b 2) a)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ c b)))
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#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* -1 (/ c (pow b 2)))))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
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#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
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#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
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#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* -1 (* a (+ (* -2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b (* a c))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (neg c) b) #s(hole binary64 (* -1 (/ c b))))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (+ (* 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)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ (* (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)))))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (/ (+ (* -1 c) (/ (pow b 2) a)) (pow b 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* 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)))))
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (/ (+ (* -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)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (/ b c)))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* b (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -2 b)))
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#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 b)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -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))))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (* -1 (* b (- (* -2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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))))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) #s(hole binary64 (/ (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))) c)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* 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)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* c (+ (* -4 a) (/ (pow b 2) c)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (* (/ c a) -1))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole binary64 (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole 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)))))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) #s(hole 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))))))))))
#s(approx (+ (* (* -4 a) c) (* b b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) #s(hole binary64 (* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
(*.f64 (/.f64 c b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b))
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 c b))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 b b)) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)))
(pow.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) b) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) b))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) b))
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (neg.f64 b) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 c) (*.f64 b b)) (*.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (neg.f64 b)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 b)))
(+.f64 (*.f64 (neg.f64 b) (/.f64 (neg.f64 c) (*.f64 b b))) (*.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 (neg.f64 c) (*.f64 b b))) (*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))) (-.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (pow.f64 a #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 c) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 (neg.f64 c) (*.f64 b b)) (-.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (pow.f64 a #s(literal -1 binary64))))))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (neg.f64 c) (*.f64 b b)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64)))
(+.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (pow.f64 a #s(literal -1 binary64)))
(+.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) (*.f64 b b)))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 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 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) (/.f64 b a)))) a))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64)))) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a))) a)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a)) b) a))) a)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))) a)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64)))) a)))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))))) a)))
#s(approx (+ (* (* -4 a) c) (* b b)) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))) a)))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 b) (*.f64 c a))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a)) b) a))) a)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) (neg.f64 a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 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) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (neg c) b) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 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) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))))) (*.f64 b b))) (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) (/.f64 (fma.f64 #s(literal -1 binary64) c (/.f64 (*.f64 b b) a)) (*.f64 b b)))
#s(approx (neg b) (neg.f64 b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))))
#s(approx (/ c (* b b)) (/.f64 (/.f64 c b) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)) b))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (/.f64 b c))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) b) #s(literal 2 binary64) (pow.f64 c #s(literal -1 binary64))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (neg.f64 b) c))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (pow.f64 c #s(literal -1 binary64))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (neg.f64 b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) b) #s(literal -2 binary64)) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (neg c) (neg.f64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #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 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b))
#s(approx (* (+ (* (sqrt (* (pow (* c a) -1) -1)) 2) (/ (/ b a) c)) a) (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64) (/.f64 b a)) a) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #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 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))) c))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))))) c))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c)) c))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (neg.f64 b) c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) 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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) (/.f64 b c))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.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 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.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 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (sqrt (/ (neg c) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c)))))
#s(approx (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (*.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 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))))))
#s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (+ (* (/ c (* b b)) -1) (pow a -1)) (*.f64 (neg.f64 c) (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 c a) #s(literal -1 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))

eval40.0ms (0.7%)

Memory
-11.1MiB live, 85.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 11 954 to 1 281 computations (89.3% saved)

prune14.0ms (0.2%)

Memory
-0.5MiB live, 44.6MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New2785283
Fresh044
Picked235
Done033
Total28015295
Accuracy
99.5%
Counts
295 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
29.8%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
12.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
24.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
38.0%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
35.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
27.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
17.0%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
37.3%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
37.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
12.6%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
14.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
15.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
Compiler

Compiled 816 to 580 computations (28.9% saved)

simplify95.0ms (1.6%)

Memory
3.5MiB live, 120.2MiB allocated; 32ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 c)
cost-diff0
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
cost-diff2
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff2
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))
cost-diff0
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
cost-diff0
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(fma.f64 a (/.f64 c b) (neg.f64 b))
cost-diff0
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
cost-diff0
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
cost-diff2
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
cost-diff0
(/.f64 c b)
cost-diff0
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))
cost-diff0
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
cost-diff0
(/.f64 b a)
cost-diff0
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
cost-diff0
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
cost-diff1
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062473
085470
1165450
2413428
31224398
44090394
57806394
08013388
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (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)
b
a
#s(literal -1 binary64)
(/.f64 c b)
c
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(fma.f64 a (/.f64 c b) (neg.f64 b))
a
(/.f64 c b)
c
b
(neg.f64 b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(/.f64 a c)
a
c
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(neg.f64 c)
c
(fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 b a) c)
(/.f64 b a)
b
a
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 c a) #s(literal -1 binary64))
(*.f64 c a)
#s(literal -1 binary64)
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (-.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)
b
a
#s(literal -1 binary64)
(/.f64 c b)
c
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(fma.f64 a (/.f64 c b) (neg.f64 b))
(fma.f64 (/.f64 c b) a (neg.f64 b))
a
(/.f64 c b)
c
b
(neg.f64 b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(*.f64 (/.f64 a c) #s(literal -4 binary64))
(/.f64 a c)
a
c
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)) (neg.f64 c) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)) (neg.f64 c) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(neg.f64 c)
c
(fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) c) b (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a)))
(/.f64 (/.f64 b a) c)
(/.f64 (/.f64 b c) a)
(/.f64 b a)
b
a
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) a))
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) c) a)
(pow.f64 (*.f64 c a) #s(literal -1 binary64))
(/.f64 (pow.f64 a #s(literal -1 binary64)) c)
(*.f64 c a)
#s(literal -1 binary64)

localize172.0ms (2.9%)

Memory
3.6MiB live, 328.3MiB allocated; 42ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.790143445037124
(/.f64 (/.f64 b a) c)
accuracy5.061662214003124
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))
accuracy11.36954844964728
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy18.87333058652335
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
accuracy5.9589401600734195
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
accuracy8.22806696598864
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
accuracy23.29323499649867
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
accuracy30.125126405406785
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
accuracy0.0
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
accuracy0.7466821744975627
(fma.f64 a (/.f64 c b) (neg.f64 b))
accuracy3.582749352504767
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
accuracy28.326880656609337
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
accuracy0.0
(/.f64 c b)
accuracy23.129665231839994
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))
accuracy28.326880656609337
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
accuracy0.0
(/.f64 c b)
accuracy0.0
(/.f64 b a)
accuracy0.0
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
accuracy28.326880656609337
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
Samples
50.0ms123×0valid
45.0ms89×0invalid
17.0ms18×2valid
16.0ms21×1valid
9.0ms3valid
Compiler

Compiled 312 to 53 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 38.0ms (36% of total)
ival-div: 17.0ms (16.1% of total)
ival-add: 14.0ms (13.3% of total)
adjust: 12.0ms (11.4% of total)
ival-sqrt: 10.0ms (9.5% of total)
ival-pow: 10.0ms (9.5% of total)
ival-neg: 2.0ms (1.9% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (1.4%)

Memory
-11.1MiB live, 86.6MiB allocated; 15ms collecting garbage
Counts
22 → 168
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(/.f64 b a)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))
(/.f64 c b)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
(fma.f64 a (/.f64 c b) (neg.f64 b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(neg.f64 c)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 b a) c)
Outputs
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (- (/ (* a c) b) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (/ (* c (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))) a))))
#s(approx (* (pow (* c a) -1) -1) #s(hole binary64 (/ -1 (* a c))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (sqrt (* (pow (* c a) -1) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (/ (/ b a) c) #s(hole binary64 (/ b (* a c))))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (/ c b)))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (/ c b)))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (/ (* a c) b)))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (/ c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
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#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
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#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
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#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
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#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
Calls

9 calls:

TimeVariablePointExpression
42.0ms
a
@-inf
((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c))
7.0ms
c
@inf
((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c))
5.0ms
c
@0
((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c))
5.0ms
a
@0
((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c))
4.0ms
b
@-inf
((+ (* (/ b a) -1) (/ c b)) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ b a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/ c b) (/ (+ (* a (/ c b)) (neg b)) a) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+ (* a (/ c b)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (* (pow (* c a) -1) -1) (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg c) (sqrt (* (/ a c) -4)) (sqrt (* (pow (* c a) -1) -1)) (/ (/ b a) c))

rewrite152.0ms (2.5%)

Memory
39.4MiB live, 127.8MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07516548
07776106
039765957
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
190 → 234
Calls
Call 1
Inputs
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(/.f64 b a)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))
(/.f64 c b)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a))
(fma.f64 a (/.f64 c b) (neg.f64 b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
(*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(neg.f64 c)
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 b a) c)
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (/ (+ (* -1 b) (/ (* a c) b)) a)))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 b)))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (- (/ (* a c) b) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (/ (* a c) b))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (/ (* c (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))) a))))
#s(approx (* (pow (* c a) -1) -1) #s(hole binary64 (/ -1 (* a c))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (sqrt (* (pow (* c a) -1) -1)) #s(hole binary64 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
#s(approx (/ (/ b a) c) #s(hole binary64 (/ b (* a c))))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (/ c b)))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (/ c b)))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (+ (* -1 (/ b a)) (/ c b))))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (/ (* a c) b)))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* a (+ (* -1 (/ b a)) (/ c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -4))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* a (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c b)) (/ b a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* a (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* -2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (/ c b) #s(hole binary64 (/ c b)))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (/ (+ c (* -1 (/ (pow b 2) a))) b)))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a c)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (+ (* 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)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* b (- (/ c (pow b 2)) (/ 1 a)))))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* b (- (/ (* a c) (pow b 2)) 1))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 b)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (/ b c))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* b (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (* a c) (pow b 2))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -2 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* -1 (* b (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c))))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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))))))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) c)))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* c (+ (* -1 (/ b c)) (/ a b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* 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)))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))))
#s(approx (+ (* (/ b a) -1) (/ c b)) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) #s(hole binary64 (* -1 (* c (- (/ b (* a c)) (/ 1 b))))))
#s(approx (+ (* a (/ c b)) (neg b)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (/ b c))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(hole binary64 (* -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))))))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* 2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) #s(hole binary64 (* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) #s(hole binary64 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (* (/ a c) -4)) #s(hole binary64 (* 2 (* (sqrt (/ a c)) (sqrt -1)))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a)) (*.f64 (/.f64 c b) (/.f64 c b))) (-.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (pow.f64 (/.f64 c b) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (*.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))
(/.f64 (neg.f64 c) (neg.f64 b))
(/.f64 c b)
(/.f64 (neg.f64 (fma.f64 (/.f64 c b) a (neg.f64 b))) (neg.f64 a))
(/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 c b) a) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 (*.f64 (/.f64 c b) a) a))
(+.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 (neg.f64 b) a))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 (*.f64 (/.f64 c b) a) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a)) (*.f64 b b)) (-.f64 (*.f64 (/.f64 c b) a) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a))) (-.f64 (neg.f64 b) (*.f64 (/.f64 c b) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c b) a) (neg.f64 b)))))
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(fma.f64 (/.f64 c b) a (neg.f64 b))
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(fma.f64 a (/.f64 c b) (neg.f64 b))
(fma.f64 b #s(literal -1 binary64) (*.f64 (/.f64 c b) a))
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(neg.f64 c)
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(pow.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64))
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(/.f64 (/.f64 b a) c)
(/.f64 (neg.f64 b) (neg.f64 (*.f64 c a)))
(/.f64 b (*.f64 c a))
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#s(approx (sqrt (* (/ a c) -4)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))))
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#s(approx (/ (/ b a) c) (/.f64 (/.f64 b a) c))
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#s(approx (+ (* (/ b a) -1) (/ c b)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
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#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (/.f64 c b))
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#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (/.f64 c b) a))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b a)) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) a))) a)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a)) b) a))) a)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b a)) a)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a)))
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64)))
#s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 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) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b))
#s(approx (/ c b) (/.f64 c b))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) b))
#s(approx (+ (* a (/ c b)) (neg b)) (/.f64 (fma.f64 c a (neg.f64 (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 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) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/2 binary64))) b) #s(literal 1 binary64)) b (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)))
#s(approx (+ (* (/ b a) -1) (/ c b)) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (*.f64 (-.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) b))
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (-.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 c)) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64)) a) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (neg.f64 b))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (neg.f64 b) c))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) (pow.f64 c #s(literal -1 binary64))) b))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) b)) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (+ (* (/ b a) -1) (/ c b)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (/.f64 c b) b) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))) b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) b) #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 (/.f64 c a)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) c) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #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 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)) c))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (neg.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (neg c) (neg.f64 c))
#s(approx (+ (* (/ b a) -1) (/ c b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (/.f64 a b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c))) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) 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)) (pow.f64 #s(literal -4 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64))) (/.f64 b c)))) c))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) c))
#s(approx (+ (* (/ b a) -1) (/ c b)) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (/ (+ (* a (/ c b)) (neg b)) a) (*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 b a) c) (pow.f64 b #s(literal -1 binary64)))))
#s(approx (+ (* a (/ c b)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal -1 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c))) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) c)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c)))))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) c) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -2 binary64) (/.f64 b c))))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (* (neg c) (+ (* (/ (/ b a) c) 1/2) (sqrt (* (pow (* c a) -1) -1)))) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (* (/ a c) -4)) (*.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal 2 binary64)))

eval32.0ms (0.5%)

Memory
-6.9MiB live, 46.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 10 701 to 1 060 computations (90.1% saved)

prune21.0ms (0.4%)

Memory
-15.5MiB live, 29.4MiB allocated; 6ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New2362238
Fresh044
Picked235
Done066
Total23815253
Accuracy
99.5%
Counts
253 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
29.8%
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
12.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
24.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
38.0%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
35.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
27.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))))
17.0%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
37.2%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
12.6%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
37.3%
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
37.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
14.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
15.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
Compiler

Compiled 1 368 to 518 computations (62.1% saved)

regimes40.0ms (0.7%)

Memory
3.6MiB live, 49.0MiB allocated; 5ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
(/.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 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.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))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(approx (* (pow (* c a) -1) -1) (/.f64 #s(literal -1 binary64) (*.f64 c a)))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c)) a))) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal -1 binary64))) c))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

16.0ms
a
8.0ms
c
7.0ms
b
7.0ms
(/.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))
Results
AccuracySegmentsBranch
72.7%5(/.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))
56.2%5a
86.3%3b
50.4%2c
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes6.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
(/.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 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(approx (+ (* (/ b c) -1) (sqrt (* (/ a c) -4))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -4 binary64)))) c)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
(/.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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
82.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes22.0ms (0.4%)

Memory
-35.9MiB live, 10.3MiB allocated; 4ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
82.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
78.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
77.8%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
77.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) (/.f64 (neg.f64 c) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
72.5%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
-38.8MiB live, 19.9MiB allocated; 15ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
Calls

4 calls:

8.0ms
c
1.0ms
b
1.0ms
a
1.0ms
(/.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))
Results
AccuracySegmentsBranch
37.0%1c
37.0%1a
37.0%1(/.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))
46.6%2b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes5.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
Outputs
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
Calls

4 calls:

1.0ms
a
1.0ms
b
1.0ms
c
1.0ms
(/.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))
Results
AccuracySegmentsBranch
12.6%1(/.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))
12.6%1c
12.6%1a
12.6%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch65.0ms (1.1%)

Memory
-4.0MiB live, 89.0MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
1.0385051596979885e-67
1.2598495154045887e-64
33.0ms
-2.126903401277472e+72
-2.0031821050102792e+65
Samples
33.0ms210×0valid
6.0ms30×2valid
5.0ms32×1valid
3.0ms33×0invalid
Compiler

Compiled 837 to 645 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (39.5% of total)
ival-div: 3.0ms (13.2% of total)
ival-sqrt: 3.0ms (13.2% of total)
adjust: 2.0ms (8.8% of total)
ival-sub: 2.0ms (8.8% of total)
ival-add: 2.0ms (8.8% of total)
ival-neg: 2.0ms (8.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Memory
6.5MiB live, 53.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0385051596979885e-67
1.2598495154045887e-64
23.0ms
-8.650787864957404e-75
-2.2060025571142e-83
Samples
13.0ms144×0valid
3.0ms39×0invalid
Compiler

Compiled 956 to 730 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.9% of total)
ival-div: 1.0ms (10.5% of total)
ival-add: 1.0ms (10.5% of total)
ival-sub: 1.0ms (10.5% of total)
ival-sqrt: 1.0ms (10.5% of total)
ival-neg: 1.0ms (10.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0385051596979885e-67
1.2598495154045887e-64
1.0ms
-8.650787864957404e-75
-2.2060025571142e-83
Compiler

Compiled 973 to 747 computations (23.2% saved)

bsearch56.0ms (0.9%)

Memory
-8.3MiB live, 177.6MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
2.8716327699783007e-195
1.0985642574361446e-165
14.0ms
-4.244173642897106e-107
-1.697755112302803e-107
Samples
21.0ms226×0valid
7.0ms90×0invalid
7.0ms29×1valid
0.0ms2valid
Compiler

Compiled 979 to 769 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (39.8% of total)
ival-div: 5.0ms (22.1% of total)
ival-sub: 2.0ms (8.9% of total)
ival-sqrt: 2.0ms (8.9% of total)
ival-add: 2.0ms (8.9% of total)
ival-neg: 2.0ms (8.9% of total)
adjust: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Memory
3.3MiB live, 58.3MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
5.257524634857935e-204
1.1785484392909874e-202
1.0ms
-4.244173642897106e-107
-1.697755112302803e-107
Samples
10.0ms92×0valid
4.0ms52×0invalid
3.0ms20×1valid
Compiler

Compiled 751 to 581 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (31.8% of total)
ival-sub: 4.0ms (31.8% of total)
adjust: 1.0ms (7.9% of total)
ival-div: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-sqrt: 1.0ms (7.9% of total)
ival-neg: 1.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.257524634857935e-204
1.1785484392909874e-202
1.0ms
-4.244173642897106e-107
-1.697755112302803e-107
Compiler

Compiled 656 to 536 computations (18.3% saved)

bsearch30.0ms (0.5%)

Memory
-27.0MiB live, 66.4MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
9.793855801810466e-273
3.405835484166091e-268
Samples
12.0ms126×0valid
6.0ms79×0invalid
0.0ms1valid
Compiler

Compiled 372 to 308 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (45.3% of total)
ival-div: 1.0ms (9.1% of total)
ival-add: 1.0ms (9.1% of total)
ival-sub: 1.0ms (9.1% of total)
ival-sqrt: 1.0ms (9.1% of total)
ival-neg: 1.0ms (9.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.4%)

Memory
-0.0MiB live, 46.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
3.2395380621786987e-12
3.962187855038437e-11
Samples
9.0ms41×2valid
4.0ms27×1valid
2.0ms28×0valid
1.0ms0invalid
Compiler

Compiled 368 to 272 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
adjust: 3.0ms (25.4% of total)
ival-mult: 3.0ms (25.4% of total)
ival-sqrt: 2.0ms (16.9% of total)
ival-div: 1.0ms (8.5% of total)
ival-sub: 1.0ms (8.5% of total)
ival-add: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify51.0ms (0.9%)

Memory
29.5MiB live, 79.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097709
1163699
2343692
3859650
42747650
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -1349999999999999906355496506828360125520427059234156687607193436946432 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 8962953628782945/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 4015394847538247/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 4015394847538247/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal 6090821257124999/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 2630622583481433/309485009821345068724781056 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b))))
#s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (/.f64 c b)))
Outputs
(if (<=.f64 b #s(literal -1349999999999999906355496506828360125520427059234156687607193436946432 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1349999999999999906355496506828360125520427059234156687607193436946432 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -5072969210312161/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 7436779353051619/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 8962953628782945/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 8962953628782945/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 4015394847538247/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1611323923926231/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (* 2 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1) (pow a -1))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b)))) (if (<=.f64 b #s(literal 4015394847538247/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (sqrt (* (/ c a) -1))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
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derivations119.0ms (2%)

Memory
0.6MiB live, 138.3MiB allocated; 17ms collecting garbage
Stop Event
fuel
Compiler

Compiled 709 to 99 computations (86% saved)

preprocess66.0ms (1.1%)

Memory
-24.7MiB live, 74.0MiB allocated; 22ms collecting garbage
Compiler

Compiled 1 452 to 226 computations (84.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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