Quadratic roots, full range

Time bar (total: 5.1s)

start0.0ms (0%)

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

analyze232.0ms (4.5%)

Memory
-15.9MiB live, 221.1MiB allocated; 46ms 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 (38.6%)

Memory
67.3MiB live, 2 313.1MiB allocated; 488ms collecting garbage
Samples
625.0ms5 539×0valid
434.0ms1 235×2valid
243.0ms1 291×1valid
112.0ms978×0invalid
53.0ms191×3valid
Precisions
Click to see histograms. Total time spent on operations: 972.0ms
ival-mult: 375.0ms (38.6% of total)
adjust: 147.0ms (15.1% of total)
ival-div: 112.0ms (11.5% of total)
ival-sqrt: 107.0ms (11% of total)
ival-add: 87.0ms (8.9% of total)
ival-sub: 84.0ms (8.6% of total)
ival-neg: 47.0ms (4.8% of total)
exact: 10.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain175.0ms (3.4%)

Memory
3.1MiB live, 292.0MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1150-1(5.3281342737137035e-253 5.2521026306612796e-161 2.9539649712952457e-80)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
550-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
160-2(-2.506726033112555e-288 2.393477697749006e-198 -1.2781624897980833e-225)(/.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))
20-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
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-rescue1060
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow106
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow21
(*.f64 b b)overflow92
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation550
/.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/n140
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow8
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow28
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow39
(*.f64 b b)underflow54
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue80
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow8
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow39
(*.f64 b b)underflow54
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue20
(*.f64 b b)overflow92
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow21
Confusion
Predicted +Predicted -
+1290
-20107
Precision
0.8657718120805369
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12900
-200107
Precision?
0.8657718120805369
Recall?
1.0
Freqs
test
numberfreq
0107
1114
234
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms346×0valid
19.0ms66×2valid
16.0ms84×1valid
5.0ms16×3valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 15.0ms (32.1% of total)
adjust: 9.0ms (19.2% of total)
ival-sqrt: 6.0ms (12.8% of total)
ival-div: 5.0ms (10.7% of total)
ival-add: 4.0ms (8.6% of total)
ival-neg: 4.0ms (8.6% of total)
ival-sub: 3.0ms (6.4% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess175.0ms (3.4%)

Memory
-24.3MiB live, 162.0MiB allocated; 16ms 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)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.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)

series31.0ms (0.6%)

Memory
2.0MiB live, 48.0MiB allocated; 3ms collecting garbage
Counts
14 → 108
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
#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 (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 (- (* 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 (* (* 4 a) c) #s(hole binary64 (* 4 (* a c))))
#s(approx (* 4 a) #s(hole binary64 (* 4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* 2 a) #s(hole binary64 (* 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 (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 (- (* 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 (* (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 (- (* 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 (- (* 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 (+ (* 1/2 (* (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 (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (* b b) #s(hole binary64 (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 (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 (- (* 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 (/ 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 (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)))) (* 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 (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 c #s(hole binary64 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 (- (* 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 (- (* 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 (* -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 (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))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
c
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)
4.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)
4.0ms
b
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)
3.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)
3.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2)

rewrite166.0ms (3.3%)

Memory
2.9MiB live, 189.0MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06704549
06844276
038124047
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
122 → 162
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)
#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 (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 (- (* 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 (* (* 4 a) c) #s(hole binary64 (* 4 (* a c))))
#s(approx (* 4 a) #s(hole binary64 (* 4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* 2 a) #s(hole binary64 (* 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 (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 (- (* 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 (* (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 (- (* 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 (- (* 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 (+ (* 1/2 (* (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 (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (* b b) #s(hole binary64 (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 (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 (- (* 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 (/ 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 (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)))) (* 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 (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 c #s(hole binary64 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 (- (* 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 (- (* 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 (* -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 (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))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
Outputs
(/.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 (-.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 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
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)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) (fma.f64 b b (*.f64 (*.f64 a #s(literal 4 binary64)) c)))
(/.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 (*.f64 a #s(literal 4 binary64)) c) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) c) (*.f64 (*.f64 a #s(literal 4 binary64)) c) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c)))))
(/.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 (*.f64 a #s(literal 4 binary64)) c))
(+.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 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(*.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 a #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(+.f64 a a)
#s(literal 2 binary64)
#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 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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 -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c 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 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c 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))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b))
#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 (* (* 4 a) c) (*.f64 (*.f64 a #s(literal 4 binary64)) c))
#s(approx (* 4 a) (*.f64 a #s(literal 4 binary64)))
#s(approx a a)
#s(approx (* 2 a) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.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 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1/2 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 -4 binary64))) (*.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 b a) #s(literal -1/2 binary64) (fma.f64 (*.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))))) #s(literal -1/16 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 -4 binary64))) (*.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)))) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#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 (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))
#s(approx (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))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a))
#s(approx (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 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #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))
#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)) (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 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #s(literal 1/8 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 (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 (+ (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) 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 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a)) b) a))) a)))
#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)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/64 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 (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)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/64 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 (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)))
#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)) (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 #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 (neg b) (neg.f64 b))
#s(approx b 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 (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (* b b) (*.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 (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 (- (* 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 (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 (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)))) (* 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 (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 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 (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 (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 (- (* 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 (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 (+ (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 (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)))))))
#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)))))

eval21.0ms (0.4%)

Memory
33.2MiB live, 33.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 774 to 924 computations (84% saved)

prune11.0ms (0.2%)

Memory
-26.8MiB live, 19.7MiB allocated; 2ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New15710167
Fresh000
Picked101
Done000
Total15810168
Accuracy
99.5%
Counts
168 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.3%
(/.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))
10.8%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
31.6%
(/.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))
18.8%
#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))))))
25.7%
#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))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
34.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
18.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
33.5%
#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))))))
16.6%
#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 520 to 398 computations (23.5% saved)

series1.1s (22.5%)

Memory
-195.4MiB live, 91.8MiB allocated; 1.5s collecting garbage
Counts
33 → 139
Calls
Call 1
Inputs
(/.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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.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)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
#s(literal 1/2 binary64)
#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))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
(*.f64 b b)
#s(literal -1 binary64)
(neg.f64 c)
Outputs
#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 (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 (- (* 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 (* -4 (* c a)) #s(hole binary64 (* -4 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -4))))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2))))
#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 (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 (- (* 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))))
#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 (- (* 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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 (* a (+ (/ c a) (/ (pow c 2) (pow b 2)))))))
#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 (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (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 (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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #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 (* -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 (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) 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 (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 c #s(hole binary64 c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#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 (+ (* -1/2 (/ 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 (- (* 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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 2))) (/ 1 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 (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))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -2 (* (sqrt (/ c a)) (sqrt -1)))))
Calls

9 calls:

TimeVariablePointExpression
1.1s
c
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -1 (neg c))
17.0ms
c
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -1 (neg c))
7.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -1 (neg c))
5.0ms
c
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -1 (neg c))
4.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (/ (* (* c c) a) (* b b)) (* (* c c) a) (* c c) (* b b) -1 (neg c))

rewrite141.0ms (2.8%)

Memory
47.2MiB live, 137.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07695474
08025140
042624877
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
172 → 247
Calls
Call 1
Inputs
(/.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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.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)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(/.f64 c a)
#s(literal 1/2 binary64)
#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))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c)) b)
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 c))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c c)
(*.f64 b b)
#s(literal -1 binary64)
(neg.f64 c)
#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 (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 (- (* 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 (* -4 (* c a)) #s(hole binary64 (* -4 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ (neg b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -4))))
#s(approx (* (/ c a) -4) #s(hole binary64 (* -4 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (/ (* (* c c) a) (* b b)) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (* (* c c) a) #s(hole binary64 (* a (pow c 2))))
#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 (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 (- (* 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))))
#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 (- (* 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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* 2 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 (* a (+ (/ c a) (/ (pow c 2) (pow b 2)))))))
#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 (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (- (pow b 2) (* 4 (* a c)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (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 (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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #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 (* -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 (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) 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 (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 c #s(hole binary64 c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#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 (+ (* -1/2 (/ 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 (- (* 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 (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* c (- (/ (pow b 2) c) (* 4 a)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 2))) (/ 1 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 (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))))))))))
#s(approx (- (* b b) (* (* 4 a) c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (* (/ c a) -4)) #s(hole binary64 (* -2 (* (sqrt (/ c a)) (sqrt -1)))))
Outputs
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c 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 (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
b
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) a) c)
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(+.f64 a a)
#s(literal 2 binary64)
#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 (/.f64 (fma.f64 #s(literal -1 binary64) b #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 #s(literal -1 binary64) b #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)))))
(fma.f64 #s(literal -1 binary64) b #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
(fma.f64 b #s(literal -1 binary64) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b) (neg.f64 b))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))
(*.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 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))
(*.f64 (/.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 c a))
(/.f64 (*.f64 #s(literal -4 binary64) c) a)
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(literal 1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b))
(fma.f64 (/.f64 c b) #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(fma.f64 #s(literal -1 binary64) (/.f64 c b) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(+.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b) (/.f64 (neg.f64 c) b))
(+.f64 (/.f64 (neg.f64 c) b) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b))) (*.f64 c c)) (-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (neg.f64 c)))
(/.f64 (-.f64 (*.f64 c c) (*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))) (-.f64 (neg.f64 c) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (neg.f64 c) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (-.f64 (*.f64 c c) (*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (neg.f64 c)))))
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(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) (neg.f64 c))
(fma.f64 #s(literal -1 binary64) c (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
(fma.f64 c #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
(-.f64 (neg.f64 c) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b))))
(+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) (neg.f64 c))
(+.f64 (neg.f64 c) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b))
(*.f64 (*.f64 c c) (/.f64 a (*.f64 b b)))
(*.f64 a (/.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (/.f64 (*.f64 (*.f64 c c) a) b) b)
(/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (neg.f64 (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))
(*.f64 (*.f64 c c) a)
(*.f64 c (*.f64 c a))
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(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (neg.f64 c) (neg.f64 c))
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(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
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(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(literal -1 binary64)
(*.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)) (/.f64 (neg.f64 c) b))
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#s(approx (* -4 (* c a)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#s(approx (* c a) (*.f64 c a))
#s(approx a a)
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#s(approx (* (/ c a) -4) (*.f64 (/.f64 c a) #s(literal -4 binary64)))
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#s(approx (* (* c c) a) (*.f64 (*.f64 c c) a))
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#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
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#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
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#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 c a)) a)))
#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 #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 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 #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 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (neg b) (neg.f64 b))
#s(approx b 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 (*.f64 c a) #s(literal -4 binary64)))))
#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 (*.f64 c a) #s(literal -4 binary64)))))
#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 (*.f64 c a) #s(literal -4 binary64)))))
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 c c) a (*.f64 (*.f64 b b) c))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 c c) a (*.f64 (*.f64 b b) c))) (*.f64 b b)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) 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) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) 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 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) 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 (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 (- (* 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) 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 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 (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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) 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 (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 c c)
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (*.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 (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c))
#s(approx (* c c) (*.f64 c c))
#s(approx (neg c) (neg.f64 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 (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 (- (* b b) (* (* 4 a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal 4 binary64))) c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (*.f64 (-.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (*.f64 c b) #s(literal -1 binary64))) (*.f64 c c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (/.f64 a (*.f64 b b))) (pow.f64 c #s(literal -1 binary64))) (*.f64 c 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 (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 (+ (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 (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)))))))
#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 (* (sqrt (* (/ c a) -4)) 1/2) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (* (/ c a) -4)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -2 binary64)))

eval40.0ms (0.8%)

Memory
-44.0MiB live, 49.7MiB allocated; 12ms collecting garbage
Compiler

Compiled 10 213 to 1 234 computations (87.9% saved)

prune11.0ms (0.2%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2768284
Fresh325
Picked415
Done000
Total28311294
Accuracy
99.7%
Counts
294 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a))
10.8%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (+.f64 a a))
31.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
18.8%
#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)))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
34.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
33.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)) b))
33.5%
#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))))))
27.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)))
16.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
18.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
Compiler

Compiled 596 to 439 computations (26.3% saved)

series37.0ms (0.7%)

Memory
0.1MiB live, 46.6MiB allocated; 2ms collecting garbage
Counts
30 → 161
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.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 a a)
#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)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 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 (neg.f64 c) a)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.f64 b a)
#s(literal -1/2 binary64)
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (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 (- (* 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 (* -4 (* c a)) #s(hole binary64 (* -4 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#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 (* (* c a) -4)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* (* c a) -4) #s(hole binary64 (* -4 (* a c))))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (neg (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (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 (- (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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 (- (* 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 (- (* 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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (* (* c a) -4)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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 (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 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 (- (* 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 c) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (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 (- (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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 (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)))) (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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 (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 c #s(hole binary64 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 (neg c) #s(hole binary64 (* -1 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (- (* 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 (- (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (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))))))))))
#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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (/ (neg c) a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
c
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (* c a) -4)) (* (* c a) -4) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (/ b a) -1/2 (neg (sqrt (/ (neg c) a))))
3.0ms
c
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (* c a) -4)) (* (* c a) -4) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (/ b a) -1/2 (neg (sqrt (/ (neg c) a))))
3.0ms
a
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (* c a) -4)) (* (* c a) -4) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (/ b a) -1/2 (neg (sqrt (/ (neg c) a))))
3.0ms
b
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (* c a) -4)) (* (* c a) -4) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (/ b a) -1/2 (neg (sqrt (/ (neg c) a))))
3.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) b (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* -4 (* c a)) -4 (* c a) c a (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) 1/2) (sqrt (/ (neg c) a)) (/ (neg c) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (* (* c a) -4)) (* (* c a) -4) (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (/ b a) -1/2 (neg (sqrt (/ (neg c) a))))

rewrite146.0ms (2.9%)

Memory
-15.1MiB live, 123.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07726676
07986246
041035949
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
191 → 252
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.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 a a)
#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)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 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 (neg.f64 c) a)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.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)))) (+ a a)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (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 (- (* 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 (* -4 (* c a)) #s(hole binary64 (* -4 (* a c))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#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 (* (* c a) -4)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -4))))
#s(approx (* (* c a) -4) #s(hole binary64 (* -4 (* a c))))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (neg (sqrt (/ (neg c) a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (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 (- (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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 (- (* 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 (- (* 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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt (* (* c a) -4)) #s(hole binary64 (* -2 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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 (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 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 (- (* 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 c) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (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 (- (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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 (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)))) (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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 (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 c #s(hole binary64 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 (neg c) #s(hole binary64 (* -1 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (- (* 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 (- (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a 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)))) (+ a 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)))) (+ a 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 (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))))))))))
#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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (/ (neg c) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (/ (neg c) a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
Outputs
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c 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 (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
b
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) a) c)
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 c (*.f64 #s(literal -4 binary64) a))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 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 (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) a) c)
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 c (*.f64 #s(literal -4 binary64) a))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))
(+.f64 a a)
#s(literal 2 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 (neg.f64 c) a)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (*.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(fma.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 c) a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(literal -1/2 binary64)
(*.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)))
#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 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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 -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 c 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 #s(literal -2 binary64) (/.f64 c b))) 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 #s(literal -2 binary64) (/.f64 c b))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c 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))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b))
#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 (* (* c a) -4) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#s(approx (* c a) (*.f64 c a))
#s(approx a a)
#s(approx (* 2 a) (*.f64 #s(literal 2 binary64) a))
#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 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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 -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (neg c) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx (sqrt (* (* c a) -4)) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (* (* c a) -4) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#s(approx (* 2 a) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (/ b a) (/.f64 b a))
#s(approx (neg (sqrt (/ (neg c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.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 b a) #s(literal -1/2 binary64) (*.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 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.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 b a) #s(literal -1/2 binary64) (fma.f64 (*.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))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.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)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (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))))) (-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) (/.f64 b a))) a))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))) a))
#s(approx (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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))))) a))
#s(approx (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 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(literal -4 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64)))))) a))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
#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 (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 b a) #s(literal -1/2 binary64) (*.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 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.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 b a) #s(literal -1/2 binary64) (fma.f64 (*.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))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #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 -1/8 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 (pow.f64 b #s(literal 4 binary64)) (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)))) (*.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) 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 -1/64 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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) a)) b) a))) a)))
#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 (*.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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (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)) (*.f64 b b)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64)))) a)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (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 (*.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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) #s(literal 2 binary64))))) a)))
#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 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #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 -1/8 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (sqrt (* (* c a) -4)) (*.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)))) (* 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 #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 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 1/2 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 c a) #s(literal -4 binary64)))))
#s(approx (neg b) (neg.f64 b))
#s(approx b b)
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))))
#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 (*.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 c a) #s(literal -4 binary64)))))
#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 1/16 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 c a) #s(literal -4 binary64)))))
#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 (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 c) b) (/.f64 (neg.f64 c) 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 (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 (- (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) 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 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 (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)))) (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (neg.f64 b) (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b) (/.f64 #s(literal 1/2 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 (/ (+ (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 (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 c 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 c) (neg.f64 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 (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 (- (* 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 (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (-.f64 (*.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)))) 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 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 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.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))))) c)) b) c)))))
#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 (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 (- (* 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 (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 (- (* 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 (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 (* (/ c a) -4)) 1/2) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (/ (neg c) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (neg.f64 c) (-.f64 (*.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 (sqrt (/ (neg c) a))) (sqrt.f64 (/.f64 (neg.f64 c) a)))

eval25.0ms (0.5%)

Memory
38.9MiB live, 38.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 9 143 to 1 098 computations (88% saved)

prune14.0ms (0.3%)

Memory
-22.0MiB live, 23.8MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New2532255
Fresh145
Picked055
Done011
Total25412266
Accuracy
99.7%
Counts
266 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a))
31.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
18.8%
#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)))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
34.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
33.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)) b))
33.5%
#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))))))
27.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)))
16.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
15.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
19.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
18.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
Compiler

Compiled 566 to 417 computations (26.3% saved)

series47.0ms (0.9%)

Memory
17.7MiB live, 63.8MiB allocated; 3ms collecting garbage
Counts
35 → 128
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c))
(*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)
(-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64))
(neg.f64 (*.f64 a (/.f64 c (*.f64 b b))))
(*.f64 a (/.f64 c (*.f64 b b)))
a
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
#s(literal 1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b a)
#s(literal -1/2 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 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (neg.f64 c))
(sqrt.f64 a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b))
(/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
(/.f64 a b)
Outputs
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* -1 c)))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 -1))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (- (* -1 (/ (* a c) (pow b 2))) 1)))
#s(approx (neg (* a (/ c (* b b)))) #s(hole binary64 (* -1 (/ (* a c) (pow b 2)))))
#s(approx (* a (/ c (* b b))) #s(hole binary64 (/ (* a c) (pow b 2))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (* (/ b a) -1/2) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (neg (sqrt (/ (neg c) a))) #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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (sqrt (neg c)) (sqrt a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (/ c b)))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 c))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (+ c (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (/ a b) #s(hole binary64 (/ a 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (/ (* a c) (pow b 2)))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (* a (+ (/ 1 a) (/ c (pow b 2)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (/ (* a (pow c 2)) (pow b 3))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (* a (+ (/ c a) (/ (pow c 2) (pow b 2))))))
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 (* a (+ (/ c a) (/ (pow c 2) (pow b 2)))))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* -1 (* a (+ (/ c a) (/ (pow c 2) (pow b 2)))))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (* a (- (/ 1 a) (* -1 (/ c (pow b 2))))))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))))
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 2))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 2))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (/ (- (* -1 (pow b 2)) (* a c)) (pow b 2))))
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))))
#s(approx (/ (* c c) b) #s(hole binary64 (/ (pow c 2) 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)))
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* -1 (/ (+ (* -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 (* 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (sqrt (neg c)) #s(hole binary64 (* (sqrt c) (sqrt -1))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (* c (+ 1 (/ (* a c) (pow b 2))))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 2))) (/ 1 c)))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 2))) (/ 1 c)))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (* c (+ (/ 1 c) (/ a (pow b 2)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))))
#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 (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (* c (- (/ 1 c) (* -1 (/ a (pow b 2))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (/ (neg c) a))) #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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (sqrt (neg c)) (sqrt a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (neg c)) #s(hole binary64 (* -1 (* (sqrt c) (sqrt -1)))))
Calls

9 calls:

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

rewrite123.0ms (2.4%)

Memory
-16.8MiB live, 78.6MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05614100
05973809
028023753
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
163 → 238
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)) b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c))
(*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)
(-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64))
(neg.f64 (*.f64 a (/.f64 c (*.f64 b b))))
(*.f64 a (/.f64 c (*.f64 b b)))
a
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
b
#s(literal 1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b a)
#s(literal -1/2 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 (neg.f64 c) a)))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(/.f64 (neg.f64 c) a)
(neg.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (neg.f64 c))
(sqrt.f64 a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b))
(/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
(/.f64 a 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ c b))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* -1 c)))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 -1))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (- (* -1 (/ (* a c) (pow b 2))) 1)))
#s(approx (neg (* a (/ c (* b b)))) #s(hole binary64 (* -1 (/ (* a c) (pow b 2)))))
#s(approx (* a (/ c (* b b))) #s(hole binary64 (/ (* a c) (pow b 2))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (/ (- (* -1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (* (/ b a) -1/2) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (neg (sqrt (/ (neg c) a))) #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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
#s(approx (/ (sqrt (neg c)) (sqrt a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (/ c b))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (/ c b)))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 c))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (+ c (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (/ a b) #s(hole binary64 (/ a 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 2)))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (/ (* a c) (pow b 2)))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (* a (+ (/ 1 a) (/ c (pow b 2)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (/ (* a (pow c 2)) (pow b 3)))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (/ (* a (pow c 2)) (pow b 3))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (/ (* a (pow c 2)) (pow b 2))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (* a (+ (/ c a) (/ (pow c 2) (pow b 2))))))
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* -1 (* a (+ (/ c a) (/ (pow c 2) (pow b 2)))))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* -1 (* a (+ (/ c a) (/ (pow c 2) (pow b 2)))))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (* a (- (/ 1 a) (* -1 (/ c (pow b 2))))))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))))
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 2))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 2))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (/ (- (* -1 (pow b 2)) (* a c)) (pow b 2))))
#s(approx (/ c (* b b)) #s(hole binary64 (/ c (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))))
#s(approx (/ (* c c) b) #s(hole binary64 (/ (pow c 2) 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1/2 (/ b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* b (- (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 1/2 (/ 1 a))))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)))
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* b (+ (* (sqrt (/ c a)) (/ (sqrt -1) b)) (* 1/2 (/ 1 a)))))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* -1 (/ (+ (* -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 (* 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 2))) 1))))
#s(approx c #s(hole binary64 c))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (sqrt (neg c)) #s(hole binary64 (* (sqrt c) (sqrt -1))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (* c (+ 1 (/ (* a c) (pow b 2))))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 2))) (/ 1 c)))))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) #s(hole binary64 (* (pow c 2) (- (* -1 (/ a (pow b 2))) (/ 1 c)))))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (* c (+ (/ 1 c) (/ a (pow b 2)))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (neg (/ (+ (* (/ (* c c) b) (/ a b)) c) b)) #s(hole binary64 (* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) #s(hole binary64 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) #s(hole binary64 (* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))))
#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 (* a (/ c (* b b)))) 1) #s(hole binary64 (* -1 (* c (- (/ 1 c) (* -1 (/ a (pow b 2))))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) #s(hole binary64 (* -1 (* c (- (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (/ (neg c) a))) #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 (* (/ c a) -4)) 1/2) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (sqrt (neg c)) (sqrt a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (sqrt (neg c)) #s(hole binary64 (* -1 (* (sqrt c) (sqrt -1)))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) c)) b))
(/.f64 (neg.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) c))) (neg.f64 b))
(/.f64 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) c)) b)
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) c))
(*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) c)
(*.f64 c (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b))) #s(literal 1 binary64)) (fma.f64 (neg.f64 a) (/.f64 (/.f64 c b) b) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)))))
(-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64))
(*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b))
(*.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 c b) b) a))
(*.f64 a (/.f64 (neg.f64 c) (*.f64 b b)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (*.f64 b b))
(neg.f64 (*.f64 (/.f64 (/.f64 c b) b) a))
(*.f64 (/.f64 (/.f64 c b) b) a)
(*.f64 a (/.f64 (/.f64 c b) b))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 b b)))
(/.f64 (*.f64 c a) (*.f64 b b))
a
(/.f64 (/.f64 c b) b)
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b b)))
(/.f64 c (*.f64 b b))
c
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
b
#s(literal 1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) b) a)
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(literal -1/2 binary64)
#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 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 c))) (neg.f64 (sqrt.f64 a)))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(*.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 (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a)))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 c))) (neg.f64 (sqrt.f64 a)))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (sqrt.f64 c) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 c))
(pow.f64 (neg.f64 c) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 c))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) (neg.f64 b)))
(*.f64 (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) b))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c))) (neg.f64 b))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c)) b)
(/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) (neg.f64 b))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c)) b)
(neg.f64 (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) b))
(fma.f64 (/.f64 c b) #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(fma.f64 #s(literal -1 binary64) (/.f64 c b) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(+.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b) (/.f64 (neg.f64 c) b))
(+.f64 (/.f64 (neg.f64 c) b) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) b))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c)) (neg.f64 b))
(/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) b)
(+.f64 (/.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) b) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) b))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b)))) (*.f64 c c)) (-.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) c))
(/.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))))) (-.f64 c (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b)))))
(/.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) #s(literal 3 binary64))) (fma.f64 c c (-.f64 (*.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b)))) (*.f64 c (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) (-.f64 (*.f64 c c) (*.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) c))))
(fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c)
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(fma.f64 (*.f64 c (/.f64 c b)) (/.f64 a b) c)
(fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)
(+.f64 (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))) c)
(+.f64 c (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))))
(*.f64 c (/.f64 c b))
(/.f64 (neg.f64 (*.f64 c c)) (neg.f64 b))
(/.f64 (*.f64 c c) b)
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 c c)
(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 a 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)) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (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 -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (neg.f64 c))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) c))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) (neg.f64 c))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c)))
#s(approx (- (neg (* a (/ c (* b b)))) 1) #s(literal -1 binary64))
#s(approx (- (neg (* a (/ c (* b b)))) 1) (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)))
#s(approx (neg (* a (/ c (* b b)))) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)))
#s(approx (* a (/ c (* b b))) (*.f64 (/.f64 (/.f64 c b) b) a))
#s(approx a a)
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (* (/ b a) -1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (/ b a) (/.f64 b a))
#s(approx (neg (sqrt (/ (neg c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (sqrt (neg c)) (sqrt a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (sqrt (neg c)) (sqrt a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (/.f64 c b))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) c)
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c))
#s(approx (/ a b) (/.f64 a b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.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))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -4 binary64) (/.f64 c a))))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 c) (*.f64 a b))) a))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal -1 binary64) (/.f64 (neg.f64 c) a)) a))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal -1 binary64) (/.f64 (neg.f64 c) a)) a))
#s(approx (- (neg (* a (/ c (* b b)))) 1) (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)))
#s(approx (- (neg (* a (/ c (* b b)))) 1) (neg.f64 (*.f64 (+.f64 (/.f64 (/.f64 c b) b) (pow.f64 a #s(literal -1 binary64))) a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (*.f64 (-.f64 (/.f64 (neg.f64 c) (*.f64 a b)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (*.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (/.f64 a b) (*.f64 c (/.f64 c b))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 c 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 #s(literal -1/2 binary64) (/.f64 b 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 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 c a)))) #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 -1/8 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (neg.f64 (*.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 c a)) a)))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 c a)) a)))
#s(approx (- (neg (* a (/ c (* b b)))) 1) (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) (*.f64 b b))) a)))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (sqrt a) (neg.f64 (*.f64 (sqrt.f64 a) #s(literal -1 binary64))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (neg.f64 (*.f64 (-.f64 (/.f64 (/.f64 c a) b) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a)))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 c) (*.f64 a b))) a)))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal -1 binary64) (/.f64 (neg.f64 c) a)) a)))
#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 #s(literal -4 binary64) (/.f64 c a))))))
#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 #s(literal -4 binary64) (/.f64 c a))))))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a))) (*.f64 b b)))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a))) (*.f64 b b)))
#s(approx (- (neg (* a (/ c (* b b)))) 1) (/.f64 (-.f64 (neg.f64 (*.f64 b b)) (*.f64 c a)) (*.f64 b b)))
#s(approx (/ c (* b b)) (/.f64 (/.f64 c b) b))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b b) c)) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (/.f64 (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) (/.f64 (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a)) (*.f64 b b)))
#s(approx (/ (* c c) b) (*.f64 c (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) (neg.f64 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) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) 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 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) (neg.f64 b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b)) (/.f64 #s(literal 1/2 binary64) a)) b))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 c c) a)) (*.f64 b b)) c) b))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 (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)))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 (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))))) b)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) (neg.f64 b)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (neg.f64 (*.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) b) (/.f64 #s(literal 1/2 binary64) a)) b)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (neg.f64 (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) (*.f64 #s(literal 1 binary64) c)) b)))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (neg.f64 (/.f64 (fma.f64 (/.f64 a b) (*.f64 c (/.f64 c b)) c) (neg.f64 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (*.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 (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) c))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 (/.f64 c b) b)) #s(literal 1 binary64)) c))
#s(approx c c)
#s(approx (neg c) (neg.f64 c))
#s(approx (sqrt (neg c)) (sqrt.f64 (neg.f64 c)))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (*.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 (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal -1 binary64))) c))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c))
#s(approx (* c c) (*.f64 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 (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (*.f64 (-.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (*.f64 c b) #s(literal -1 binary64))) (*.f64 c c)))
#s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (/.f64 a (*.f64 b b))) (pow.f64 c #s(literal -1 binary64))) (*.f64 c c)))
#s(approx (* (- (neg (* a (/ c (* b b)))) 1) c) (*.f64 (-.f64 (neg.f64 (/.f64 a (*.f64 b b))) (pow.f64 c #s(literal -1 binary64))) (*.f64 c c)))
#s(approx (- (neg (* a (/ c (* b b)))) 1) (*.f64 (neg.f64 c) (+.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 a (*.f64 b b)))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (-.f64 (*.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)))) c))
#s(approx (/ (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) b) (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal -1 binary64)) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))))
#s(approx (/ (+ (* (/ (* c c) b) (/ a b)) c) b) (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal -1 binary64)) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)))
#s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (+.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 a (*.f64 b b))) (*.f64 c 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 #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 (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 (* a (/ c (* b b)))) 1) (*.f64 (neg.f64 c) (-.f64 (pow.f64 c #s(literal -1 binary64)) (neg.f64 (/.f64 a (*.f64 b b))))))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (neg.f64 c) (-.f64 (*.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 (sqrt (/ (neg c) a))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (sqrt (neg c)) (sqrt a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (* (sqrt (* (/ c a) -4)) 1/2) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (sqrt (neg c)) (sqrt a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (neg c)) (neg.f64 (sqrt.f64 (neg.f64 c))))

eval29.0ms (0.6%)

Memory
-3.8MiB live, 41.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 10 648 to 1 176 computations (89% saved)

prune16.0ms (0.3%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New2543257
Fresh011
Picked235
Done066
Total25613269
Accuracy
99.8%
Counts
269 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a))
31.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
18.8%
#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)))))
34.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
34.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
33.5%
#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))))))
26.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
34.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c)) b)))
34.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) b)))
16.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
15.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
19.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))))
18.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
Compiler

Compiled 1 066 to 437 computations (59% saved)

regimes29.0ms (0.6%)

Memory
-8.5MiB live, 38.0MiB allocated; 2ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.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)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.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 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)) b))
#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)) (/.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)) (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)) (neg.f64 (/.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) b)))
#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))))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

8.0ms
b
7.0ms
c
7.0ms
a
6.0ms
(/.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
74.6%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))
62.6%6a
87.5%3b
54.9%3c
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.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)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.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 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) 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 #s(approx (+ (* (/ (* (* c c) a) (* b b)) -1) (neg c)) (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 1 binary64)) c)) b))
#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)) (/.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)) (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)) (neg.f64 (/.f64 #s(approx (+ (* (/ (* c c) b) (/ a b)) c) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
84.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.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)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) 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))
#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
83.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.2%)

Memory
-40.9MiB live, 8.7MiB allocated; 7ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.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)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 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 (* (sqrt (* (/ c a) -4)) 1/2) (/.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:

9.0ms
b
Results
AccuracySegmentsBranch
76.1%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
9 → 4
Calls
Call 1
Inputs
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
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)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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
75.4%4b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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 (* (sqrt (* (/ c a) -4)) 1/2) (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
73.1%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ b a) -1/2) (neg (sqrt (/ (neg c) a)))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) b)) (*.f64 #s(literal 2 binary64) 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)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

2.0ms
b
2.0ms
(/.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
48.1%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))
66.4%2b
Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes5.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#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))
Calls

4 calls:

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))
1.0ms
c
Results
AccuracySegmentsBranch
34.9%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))
34.9%1c
34.9%1a
34.9%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch58.0ms (1.1%)

Memory
-28.3MiB live, 63.9MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
8.475335893420224e-69
8.785634179285098e-56
20.0ms
-8.889987912569441e+129
-1.3692029029507654e+111
Samples
21.0ms253×0valid
7.0ms32×2valid
5.0ms35×1valid
3.0ms39×0invalid
Compiler

Compiled 800 to 680 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (35.5% of total)
ival-div: 4.0ms (15.8% of total)
adjust: 3.0ms (11.8% of total)
ival-sqrt: 3.0ms (11.8% of total)
ival-sub: 2.0ms (7.9% of total)
ival-add: 2.0ms (7.9% of total)
ival-neg: 2.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch22.0ms (0.4%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.475335893420224e-69
8.785634179285098e-56
18.0ms
-6.747300673306651e-75
-9.016992390483333e-78
Samples
10.0ms128×0valid
2.0ms29×0invalid
Compiler

Compiled 830 to 668 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (49.8% of total)
ival-div: 1.0ms (12.4% of total)
ival-add: 1.0ms (12.4% of total)
ival-sub: 1.0ms (12.4% of total)
ival-sqrt: 1.0ms (12.4% of total)
ival-neg: 1.0ms (12.4% 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)

bsearch25.0ms (0.5%)

Memory
-18.9MiB live, 27.0MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
8.475335893420224e-69
8.785634179285098e-56
19.0ms
-2.4181998986349227e-82
-1.767814424480514e-85
Samples
10.0ms128×0valid
3.0ms37×0invalid
Compiler

Compiled 848 to 704 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (46.6% of total)
ival-div: 1.0ms (11.7% of total)
ival-add: 1.0ms (11.7% of total)
ival-sub: 1.0ms (11.7% of total)
ival-sqrt: 1.0ms (11.7% of total)
ival-neg: 1.0ms (11.7% 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)

bsearch39.0ms (0.8%)

Memory
4.9MiB live, 50.1MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
8.475335893420224e-69
8.785634179285098e-56
15.0ms
-2.4181998986349227e-82
-1.767814424480514e-85
Samples
11.0ms140×0valid
9.0ms17×2valid
4.0ms49×0invalid
3.0ms19×1valid
Compiler

Compiled 1 010 to 830 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
adjust: 6.0ms (30.5% of total)
ival-mult: 6.0ms (30.5% of total)
ival-div: 2.0ms (10.2% of total)
ival-sqrt: 2.0ms (10.2% of total)
ival-sub: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% of total)
ival-neg: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch63.0ms (1.2%)

Memory
31.9MiB live, 76.1MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.475335893420224e-69
8.785634179285098e-56
35.0ms
-2.4155944548448164e-272
-2.8194512275949715e-291
20.0ms
-1.4399590941381084e-142
-6.212520977338802e-147
Samples
22.0ms288×0valid
18.0ms145×0invalid
Compiler

Compiled 1 488 to 1 224 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 10.0ms (35.2% of total)
ival-neg: 8.0ms (28.2% of total)
ival-div: 3.0ms (10.6% of total)
ival-sqrt: 3.0ms (10.6% of total)
ival-add: 2.0ms (7% of total)
ival-sub: 2.0ms (7% 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)

bsearch41.0ms (0.8%)

Memory
-0.4MiB live, 44.8MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.475335893420224e-69
8.785634179285098e-56
36.0ms
-6.083122348270767e-104
-2.6417631331685866e-130
Samples
14.0ms176×0valid
13.0ms72×0invalid
Compiler

Compiled 1 154 to 944 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sub: 8.0ms (40.1% of total)
ival-mult: 6.0ms (30% of total)
ival-sqrt: 2.0ms (10% of total)
ival-div: 1.0ms (5% of total)
ival-add: 1.0ms (5% of total)
ival-neg: 1.0ms (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)

bsearch40.0ms (0.8%)

Memory
0.2MiB live, 45.4MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
1.5892273372188563e-249
1.7096615499261788e-228
Samples
14.0ms171×0valid
12.0ms83×0invalid
1.0ms1valid
Compiler

Compiled 504 to 416 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (62.5% of total)
ival-div: 2.0ms (10.4% of total)
ival-sqrt: 2.0ms (10.4% of total)
ival-add: 1.0ms (5.2% of total)
ival-sub: 1.0ms (5.2% of total)
ival-neg: 1.0ms (5.2% 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)

simplify64.0ms (1.2%)

Memory
-19.3MiB live, 35.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088571
1135571
2222571
3361571
4608571
52302571
66718571
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -827545865385885/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -8202190217936295/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 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 -4921314130761777/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.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 -8098044830177753/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal -7484401160755199/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (if (<=.f64 b #s(literal 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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 -105391615022863/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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 1612226962694291/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
(if (<=.f64 b #s(literal -3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -827545865385885/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -8202190217936295/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 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 -4921314130761777/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (/.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 -8098044830177753/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal -7484401160755199/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (if (<=.f64 b #s(literal 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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 -105391615022863/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (sqrt (* (/ c a) -4)) 1/2) (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 1612226962694291/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))

derivations80.0ms (1.6%)

Memory
27.0MiB live, 72.1MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 571 to 91 computations (84.1% saved)

preprocess45.0ms (0.9%)

Memory
-26.0MiB live, 66.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 176 to 210 computations (82.1% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...