jeff quadratic root 1

Time bar (total: 18.8s)

analyze258.0ms (1.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
34.4%34.3%65.5%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
47.5%44.5%49.1%0.1%0%6.2%0%8
54.7%49.9%41.3%0.1%0%8.6%0%9
61%52.9%33.7%0.1%0%13.3%0%10
67.4%57.8%28%0.1%0%14%0%11
72.5%60.5%23%0.1%0%16.4%0%12
Compiler

Compiled 42 to 21 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 45.0ms (38.4% of total)
ival-div: 13.0ms (11.1% of total)
ival-sub: 13.0ms (11.1% of total)
ival-sqrt: 13.0ms (11.1% of total)
ival-if: 8.0ms (6.8% of total)
ival-neg: 8.0ms (6.8% of total)
ival-add: 7.0ms (6% of total)
ival->=: 7.0ms (6% of total)
const: 3.0ms (2.6% of total)
backward-pass: 1.0ms (0.9% of total)

sample2.3s (12.1%)

Results
1.4s8256×0valid
144.0ms918×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 481.0ms (41.2% of total)
ival-div: 143.0ms (12.2% of total)
ival-sqrt: 121.0ms (10.4% of total)
ival-neg: 107.0ms (9.2% of total)
ival-sub: 99.0ms (8.5% of total)
ival-if: 82.0ms (7% of total)
ival->=: 58.0ms (5% of total)
ival-add: 51.0ms (4.4% of total)
const: 22.0ms (1.9% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess220.0ms (1.2%)

Algorithm
egg-herbie
Rules
2294×fnmadd-define
1756×fnmsub-define
1618×fmm-def
1600×fmsub-define
1500×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085373
1262353
2808333
32280325
47099325
02036
14735
212233
329932
457232
5121132
6353432
7626832
8741932
0803932
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
Outputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Call 2
Inputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))))
(if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))))
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))))))
(neg (if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))))))
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))))))
(if (>= a 0) (/ (- (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) (/ (* 2 c) (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c))))))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) (/ (* 2 a) (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a))))))
(if (>= c 0) (/ (- (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) (/ (* 2 b) (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b))))))
Outputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>= b 0) (/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a -2)) (/ (* c 2) (- (sqrt (fma a (* c -4) (square b))) b)))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))))
(if (>= b 0) (/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a 2)) (/ (* c 2) (- (sqrt (fma 4 (* a c) (square b))) b)))
(if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))))
(if (>= (neg b) 0) (* -1/2 (/ (- (sqrt (fma a (* c -4) (square b))) b) a)) (/ (* c 2) (+ b (sqrt (fma a (* c -4) (square b))))))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))))
(if (>= b 0) (/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a -2)) (/ (* c 2) (- b (sqrt (fma 4 (* a c) (square b))))))
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))))))
(neg (if (>= b 0) (/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a 2)) (/ (* c 2) (- (sqrt (fma 4 (* a c) (square b))) b))))
(neg (if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))))))
(neg (if (>= (neg b) 0) (* -1/2 (/ (- (sqrt (fma a (* c -4) (square b))) b) a)) (/ (* c 2) (+ b (sqrt (fma a (* c -4) (square b)))))))
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))))))
(neg (if (>= b 0) (/ (+ b (sqrt (fma 4 (* a c) (square b)))) (* a -2)) (/ (* c 2) (- b (sqrt (fma 4 (* a c) (square b)))))))
(if (>= a 0) (/ (- (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) (/ (* 2 c) (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c))))))
(if (>= a 0) (/ (+ a (sqrt (fma (* b c) -4 (square a)))) (* b -2)) (/ (* c 2) (- (sqrt (fma (* b c) -4 (square a))) a)))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) (/ (* 2 a) (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a))))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (fma a (* c -4) (square b)))) c)) (/ (* a 2) (- (sqrt (fma a (* c -4) (square b))) b)))
(if (>= c 0) (/ (- (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) (/ (* 2 b) (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b))))))
(if (>= c 0) (* -1/2 (/ (+ c (sqrt (fma b (* a -4) (square c)))) a)) (/ (* b 2) (- (sqrt (fma b (* a -4) (square c))) c)))

explain422.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
970-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
721(6.309007497951628e-228 -1.0349311175009215e+195 -2.0203634970045646e+99)0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
520-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
190-3(-4.7607251865146497e-287 -22887327522.676888 -7.739095612012633e-18)(/.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))
160-1(2.200609600684454e+223 1.7167261590995566e+298 -4.924923129562958e-246)(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
60-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-b
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
00-0-#s(literal 0 binary64)
00-0-#s(literal 4 binary64)
00-0-(>=.f64 b #s(literal 0 binary64))
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-(neg.f64 b)
00-0-c
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) c)
00-0-a
Results
205.0ms228×2valid
56.0ms118×1valid
44.0ms160×0valid
5.0ms3valid
Compiler

Compiled 339 to 62 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-add: 42.0ms (25.6% of total)
ival-mult: 38.0ms (23.2% of total)
backward-pass: 26.0ms (15.9% of total)
ival-div: 17.0ms (10.4% of total)
ival-sub: 12.0ms (7.3% of total)
ival-sqrt: 11.0ms (6.7% of total)
ival-if: 8.0ms (4.9% of total)
ival-neg: 7.0ms (4.3% of total)
const: 2.0ms (1.2% of total)
ival->=: 2.0ms (1.2% of total)

eval0.0ms (0%)

Compiler

Compiled 39 to 20 computations (48.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Compiler

Compiled 39 to 20 computations (48.7% saved)

simplify139.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Rules
1794×fnmsub-define
1794×fmsub-define
1784×sum5-define
1668×fmm-def
1566×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020129
136121
255121
369121
480121
5126121
6226121
7370121
8555121
91060121
102227121
114453121
127162121
08064121
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
b
0
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(* a -2)
-2
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(* c 2)
2
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
Outputs
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)

localize201.0ms (1.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy94.0%
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
accuracy82.0%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
accuracy75.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Results
82.0ms114×2valid
39.0ms59×1valid
36.0ms80×0valid
3.0ms3valid
Compiler

Compiled 142 to 21 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 16.0ms (27% of total)
backward-pass: 15.0ms (25.4% of total)
ival-div: 8.0ms (13.5% of total)
ival-add: 7.0ms (11.8% of total)
ival-sqrt: 5.0ms (8.5% of total)
ival-if: 3.0ms (5.1% of total)
ival-sub: 3.0ms (5.1% of total)
const: 1.0ms (1.7% of total)
ival->=: 1.0ms (1.7% of total)

series74.0ms (0.4%)

Counts
7 → 228
Calls
Call 1
Inputs
#<alt (if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))>
#<alt (>= b 0)>
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)>
#<alt (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))>
Outputs
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
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#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)>
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)>
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
Calls

57 calls:

TimeVariablePointExpression
35.0ms
b
@-inf
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
8.0ms
b
@-inf
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
1.0ms
a
@inf
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
1.0ms
a
@inf
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
1.0ms
c
@inf
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))

rewrite348.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
5142×*-lowering-*.f32
5142×*-lowering-*.f64
3430×/-lowering-/.f32
3430×/-lowering-/.f64
1562×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02098
18691
269591
0864691
Stop Event
iter limit
node limit
Counts
7 → 386
Calls
Call 1
Inputs
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(>=.f64 b #s(literal 0 binary64))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) (*.f64 a #s(literal -2 binary64))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (neg.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 a #s(literal -2 binary64))) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
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(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (pow.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal 2 binary64)))) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 b b) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 #s(literal 2 binary64) (/.f64 c (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) c))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) c)
(*.f64 (-.f64 #s(literal 0 binary64) c) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) (*.f64 c #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) (*.f64 c #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 c #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (/.f64 c (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))) c))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 c (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) c))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(*.f64 (/.f64 c (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))))
(*.f64 (/.f64 c (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 (/.f64 c (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (/.f64 #s(literal 2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))))
(*.f64 (/.f64 c (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (/.f64 c (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) (/.f64 c (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) (*.f64 c #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) (*.f64 c #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(*.f64 (*.f64 c (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(*.f64 (*.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) c) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) #s(literal 2 binary64)) c)
(*.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))))
(*.f64 (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))

simplify435.0ms (2.3%)

Algorithm
egg-herbie
Rules
8836×*-lowering-*.f32
8836×*-lowering-*.f64
4924×+-lowering-+.f64
4924×+-lowering-+.f32
1564×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08205874
129045529
090405529
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
Outputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
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(* (sqrt (* a c)) (sqrt -4))
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b
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b
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b
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(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) b))) (*.f64 a a)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64))) (*.f64 b b))) (*.f64 c #s(literal -2 binary64))) (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal 1 binary64)))))) (/.f64 b a))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
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(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -2 binary64))) (+.f64 (*.f64 (/.f64 b a) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 c a))) c))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b (*.f64 b b))) c) (*.f64 a a)) (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))))) (neg.f64 c)) (*.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 c a))) c))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (*.f64 b (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 b #s(literal -2 binary64)) (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 c (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)))))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (/.f64 #s(literal -1/8 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a a)))) (*.f64 a (*.f64 c (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64))))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c c))) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c c))) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -5/2 binary64)))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (*.f64 a (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) b))) c)) (/.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (*.f64 b b))) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)))))) b) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) #s(literal -1/2 binary64)))) (*.f64 a a))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) #s(literal -1/2 binary64))) (*.f64 a a)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 (*.f64 a (*.f64 a (*.f64 b (*.f64 b b)))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) b) (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (+.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64)))) a)) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (-.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))) #s(literal 1/8 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 a (*.f64 a (*.f64 b (*.f64 b b))))) c) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))))) a)) a)) a)) (neg.f64 a))

eval142.0ms (0.8%)

Compiler

Compiled 38505 to 2637 computations (93.2% saved)

prune229.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New66610676
Fresh000
Picked101
Done000
Total66710677
Accuracy
94.6%
Counts
677 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)))
72.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
46.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
76.9%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) c))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
76.0%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
75.7%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Compiler

Compiled 794 to 470 computations (40.8% saved)

simplify171.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)))
cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(-.f64 (-.f64 #s(literal 0 binary64) b) b)
cost-diff128
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b))
cost-diff0
(/.f64 c b)
cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
cost-diff0
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Rules
1842×*-lowering-*.f32
1842×*-lowering-*.f64
1758×fnmsub-define
1646×fma-lowering-fma.f32
1646×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046710
197667
2166662
3269658
4497658
51183658
63417658
76969658
08315658
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(if (>= b 0) (/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
b
0
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
-1/2
(/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
a
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* b b)
(* a (* -4 c))
(* -4 c)
-4
c
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(* c 2)
2
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
(* a -4)
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
b
0
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* b b)
(* a (* -4 c))
(* -4 c)
-4
c
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(* c 2)
2
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
(* a -4)
(if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
b
0
(- (/ c b) (/ b a))
(/ c b)
c
(/ b a)
a
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(* c 2)
2
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
(* a -4)
-4
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (- 0 b) b)))
(>= b 0)
b
0
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(* a -2)
-2
(/ (* c 2) (- (- 0 b) b))
(* c 2)
2
(- (- 0 b) b)
(- 0 b)
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)))
(>= b 0)
b
0
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(* a -2)
-2
(/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b))
(* c 2)
2
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c))))))
1
(sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))
(/ 1 (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* a (* -4 c))
(* -4 c)
Outputs
(if (>= b 0) (/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a))
-1/2
#s(literal -1/2 binary64)
(/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
a
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* a (* -4 c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* b b)
(*.f64 b b)
(* a (* -4 c))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(* -4 c)
(*.f64 #s(literal -4 binary64) c)
-4
#s(literal -4 binary64)
c
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* c (* a -4))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(* a -4)
(*.f64 a #s(literal -4 binary64))
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* a (* -4 c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* b b)
(*.f64 b b)
(* a (* -4 c))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(* -4 c)
(*.f64 #s(literal -4 binary64) c)
-4
#s(literal -4 binary64)
c
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* c (* a -4))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(* a -4)
(*.f64 a #s(literal -4 binary64))
(if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
c
(/ b a)
(/.f64 b a)
a
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (- 0 b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* c 2) (- (- 0 b) b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (- 0 b) b)
(*.f64 b #s(literal -2 binary64))
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(/ 1 (+ (* b b) (* a (* -4 c))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* a (* -4 c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* a (* -4 c))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(* -4 c)
(*.f64 #s(literal -4 binary64) c)

localize1.1s (6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy82.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)
accuracy75.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy65.1%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy98.1%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy94.2%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
accuracy75.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy98.1%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy94.0%
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
accuracy82.0%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy82.0%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
accuracy75.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
accuracy82.0%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
accuracy75.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
Results
541.0ms98×2valid
120.0ms57×1valid
97.0ms21×3valid
75.0ms80×0valid
Compiler

Compiled 780 to 47 computations (94% saved)

Precisions
Click to see histograms. Total time spent on operations: 219.0ms
backward-pass: 56.0ms (25.6% of total)
ival-mult: 44.0ms (20.1% of total)
ival-div: 40.0ms (18.3% of total)
ival-sub: 30.0ms (13.7% of total)
ival-if: 18.0ms (8.2% of total)
ival-sqrt: 14.0ms (6.4% of total)
ival-add: 12.0ms (5.5% of total)
const: 2.0ms (0.9% of total)
ival->=: 2.0ms (0.9% of total)

series68.0ms (0.4%)

Counts
23 → 732
Calls
Call 1
Inputs
#<alt (if (>= b 0) (/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))>
#<alt (>= b 0)>
#<alt (/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))>
#<alt (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))>
#<alt (if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))>
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* -4 c))))))>
#<alt (/ -1/2 a)>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))>
#<alt (- (/ c b) (/ b a))>
#<alt (/ c b)>
#<alt (/ (* c 2) (- (- 0 b) b))>
#<alt (- (- 0 b) b)>
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))>
#<alt (if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)))>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* a (* -4 c))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (+ b (sqrt (+ (* b b) (* a (* -4 c)))))>
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)>
#<alt (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))>
#<alt (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)>
Outputs
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))>
#<alt (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))>
#<alt (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)>
#<alt (* 1/2 (/ b c))>
#<alt (* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)>
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#<alt (* 2 b)>
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#<alt (* 2 b)>
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#<alt (* 2 b)>
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#<alt (+ (* (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)))))))))>
#<alt b>
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#<alt (* -1 b)>
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#<alt b>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
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#<alt (* -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))))))))>
#<alt b>
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#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (+ (* (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)))))))))>
#<alt b>
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#<alt (* -1 b)>
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#<alt b>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
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#<alt (* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))>
#<alt (+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))>
#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))>
#<alt (+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))>
#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* 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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* 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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
Calls

183 calls:

TimeVariablePointExpression
11.0ms
b
@-inf
(/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
4.0ms
b
@-inf
(sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))
3.0ms
a
@0
(sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))
2.0ms
b
@inf
(/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
1.0ms
b
@-inf
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)))

rewrite343.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
2594×/-lowering-/.f32
2594×/-lowering-/.f64
1768×*-lowering-*.f32
1768×*-lowering-*.f64
1556×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045309
1282288
22336286
09163286
Stop Event
iter limit
node limit
Counts
23 → 1099
Calls
Call 1
Inputs
(if (>= b 0) (/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
(/ -1/2 (/ a (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
(/ a (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(/ -1/2 a)
(if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(- (/ c b) (/ b a))
(/ c b)
(/ (* c 2) (- (- 0 b) b))
(- (- 0 b) b)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(+ (* b b) (* c (* a -4)))
(sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* -4 c)))))) b)
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(>=.f64 b #s(literal 0 binary64))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(-.f64 (/.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64)))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) a) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) a)
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (/.f64 a #s(literal -1/2 binary64))))
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(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))) (*.f64 b (*.f64 b b)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))) (*.f64 b b)))
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))) (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))) b))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))))))
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(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))) (*.f64 b b))))
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(pow.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
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(*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))))
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(*.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
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(*.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (*.f64 b b)) (+.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))

simplify554.0ms (3%)

Algorithm
egg-herbie
Rules
7050×*-lowering-*.f32
7050×*-lowering-*.f64
3898×+-lowering-+.f64
3898×+-lowering-+.f32
1656×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131616770
1470615812
0867615812
Stop Event
iter limit
node limit
Counts
732 → 732
Calls
Call 1
Inputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
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(>= b 0)
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(* 1/2 (/ a b))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
Outputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* 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)))))))
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(* -1 b)
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(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
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b
(+ b (* -2 (/ (* a c) b)))
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
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(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (neg.f64 c))
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b
(+ b (* -2 (/ (* a c) b)))
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(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
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(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(* 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)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
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(* -1 (* 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))))))))
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(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
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(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
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(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* 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)))))))
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(* 2 (/ (* a c) b))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a c)) b)
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
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(* 2 b)
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(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)) b) c)) (neg.f64 c))

eval573.0ms (3.1%)

Compiler

Compiled 165144 to 6878 computations (95.8% saved)

prune936.0ms (5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New3454103464
Fresh235
Picked325
Done000
Total3459153474
Accuracy
94.6%
Counts
3474 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
38.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)))
46.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
56.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
71.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
64.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
32.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
52.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
68.9%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
71.7%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
32.5%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
76.8%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) c))
Compiler

Compiled 960 to 571 computations (40.5% saved)

simplify149.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b))))
cost-diff128
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b))))
cost-diff256
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b))
cost-diff640
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))
cost-diff0
(/.f64 c b)
cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
cost-diff0
(/.f64 c b)
cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff384
(/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b))
cost-diff0
(/.f64 c b)
cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff64
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
cost-diff128
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
Rules
3588×*-lowering-*.f32
3588×*-lowering-*.f64
1556×/-lowering-/.f32
1556×/-lowering-/.f64
1328×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058523
1145489
2326483
31368468
46178468
08120468
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(if (>= b 0) (/ (/ -1/2 a) (/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
b
0
(/ (/ -1/2 a) (/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
(/ -1/2 a)
-1/2
a
(/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
1
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* b b)
(* a (* -4 c))
(* -4 c)
-4
c
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(* c 2)
2
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
(* a -4)
(if (>= b 0) (- (/ c b) (/ b a)) (/ b (neg a)))
(>= b 0)
b
0
(- (/ c b) (/ b a))
(/ c b)
c
(/ b a)
a
(/ b (neg a))
(neg a)
(if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (/ (* (* a c) -2) b)))
(>= b 0)
b
0
(- (/ c b) (/ b a))
(/ c b)
c
(/ b a)
a
(/ (* c 2) (/ (* (* a c) -2) b))
(* c 2)
2
(/ (* (* a c) -2) b)
(* (* a c) -2)
(* a c)
-2
(if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (- (sqrt (* -4 (* a c))) b)))
(>= b 0)
b
0
(- (/ c b) (/ b a))
(/ c b)
c
(/ b a)
a
(/ (* c 2) (- (sqrt (* -4 (* a c))) b))
(* c 2)
2
(- (sqrt (* -4 (* a c))) b)
(sqrt (* -4 (* a c)))
(* -4 (* a c))
-4
(* a c)
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))))
(>= b 0)
b
0
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(* a -2)
-2
(/ (* c 2) (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))))
(* c 2)
2
(/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))
(- 0 (* 8 (* b (* b b))))
(* 8 (* b (* b b)))
8
(* b (* b b))
(+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))
(+ (* b (* 2 b)) (* 0 (* 2 b)))
(* b (* 2 b))
(* 2 b)
(* 0 (* 2 b))
Outputs
(if (>= b 0) (/ (/ -1/2 a) (/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (/ -1/2 a) (/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
1
#s(literal 1 binary64)
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* a (* -4 c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* b b)
(*.f64 b b)
(* a (* -4 c))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(* -4 c)
(*.f64 #s(literal -4 binary64) c)
-4
#s(literal -4 binary64)
c
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* c (* a -4))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
(* a -4)
(*.f64 a #s(literal -4 binary64))
(if (>= b 0) (- (/ c b) (/ b a)) (/ b (neg a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
c
(/ b a)
(/.f64 b a)
a
(/ b (neg a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(neg a)
(-.f64 #s(literal 0 binary64) a)
(if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (/ (* (* a c) -2) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
c
(/ b a)
(/.f64 b a)
a
(/ (* c 2) (/ (* (* a c) -2) b))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (* a c) -2) b)
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b)
(* (* a c) -2)
(*.f64 a (*.f64 c #s(literal -2 binary64)))
(* a c)
(*.f64 a c)
-2
#s(literal -2 binary64)
(if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (- (sqrt (* -4 (* a c))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
c
(/ b a)
(/.f64 b a)
a
(/ (* c 2) (- (sqrt (* -4 (* a c))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (sqrt (* -4 (* a c))) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)
(sqrt (* -4 (* a c)))
(sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* -4 (* a c))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
-4
#s(literal -4 binary64)
(* a c)
(*.f64 a c)
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* c 2) (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))))
(/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64)))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))
(*.f64 b #s(literal -4 binary64))
(- 0 (* 8 (* b (* b b))))
(*.f64 b (*.f64 (*.f64 b b) #s(literal -8 binary64)))
(* 8 (* b (* b b)))
(*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64)))
8
#s(literal 8 binary64)
(* b (* b b))
(*.f64 b (*.f64 b b))
(+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))
(*.f64 b (*.f64 b #s(literal 2 binary64)))
(+ (* b (* 2 b)) (* 0 (* 2 b)))
(*.f64 b (*.f64 b #s(literal 2 binary64)))
(* b (* 2 b))
(*.f64 b (*.f64 b #s(literal 2 binary64)))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 0 (* 2 b))
#s(literal 0 binary64)

localize492.0ms (2.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy97.1%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
accuracy89.2%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy81.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy61.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))
accuracy100.0%
(-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)
accuracy99.9%
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))
accuracy99.4%
(>=.f64 b #s(literal 0 binary64))
accuracy86.5%
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
accuracy100.0%
(*.f64 (*.f64 a c) #s(literal -2 binary64))
accuracy99.4%
(>=.f64 b #s(literal 0 binary64))
accuracy93.4%
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)
accuracy89.7%
(/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b))
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(-.f64 (/.f64 c b) (/.f64 b a))
accuracy100.0%
(neg.f64 a)
accuracy99.4%
(>=.f64 b #s(literal 0 binary64))
accuracy90.3%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
accuracy89.2%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
accuracy81.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
accuracy81.1%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Results
151.0ms46×2valid
81.0ms104×0invalid
64.0ms28×1valid
64.0ms75×0valid
26.0ms3valid
Compiler

Compiled 614 to 59 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-mult: 38.0ms (28.2% of total)
ival-div: 33.0ms (24.5% of total)
backward-pass: 19.0ms (14.1% of total)
ival-add: 12.0ms (8.9% of total)
ival-if: 10.0ms (7.4% of total)
ival-sqrt: 10.0ms (7.4% of total)
ival-sub: 7.0ms (5.2% of total)
const: 2.0ms (1.5% of total)
ival->=: 2.0ms (1.5% of total)
ival-neg: 2.0ms (1.5% of total)

series40.0ms (0.2%)

Counts
26 → 720
Calls
Call 1
Inputs
#<alt (/ (/ -1/2 a) (/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))>
#<alt (if (>= b 0) (/ (/ -1/2 a) (/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))>
#<alt (>= b 0)>
#<alt (/ -1/2 a)>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (/ b (neg a)))>
#<alt (- (/ c b) (/ b a))>
#<alt (/ c b)>
#<alt (/ (* c 2) (/ (* (* a c) -2) b))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (- (sqrt (* -4 (* a c))) b)))>
#<alt (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))>
#<alt (* 0 (* 2 b))>
#<alt (- 0 (* 8 (* b (* b b))))>
#<alt (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (sqrt (+ (* b b) (* a (* -4 c))))>
#<alt (+ b (sqrt (+ (* b b) (* a (* -4 c)))))>
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)>
#<alt (neg a)>
#<alt (/ b a)>
#<alt (/ (* (* a c) -2) b)>
#<alt (* (* a c) -2)>
#<alt (sqrt (* -4 (* a c)))>
#<alt (/ (* c 2) (- (sqrt (* -4 (* a c))) b))>
#<alt (- (sqrt (* -4 (* a c))) b)>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* -1 (/ b a)))>
#<alt (if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* -1 (/ b a)))>
#<alt (if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* -1 (/ b a)))>
#<alt (if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))>
#<alt (* -1 (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (- (/ c b) (/ b a))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
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#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))))>
#<alt (if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))))>
#<alt (if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))))>
#<alt (if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
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#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
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#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
#<alt (if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))>
#<alt (if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))>
#<alt (if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))>
#<alt (if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
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#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
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#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))>
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#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))>
#<alt (if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))>
#<alt (* -4 b)>
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#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
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#<alt (* -4 b)>
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#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -8 (pow b 3))>
#<alt (* -8 (pow b 3))>
#<alt (* -8 (pow b 3))>
#<alt (* -8 (pow b 3))>
#<alt (* -8 (pow b 3))>
#<alt (* -8 (pow b 3))>
#<alt (* -8 (pow b 3))>
#<alt (* -8 (pow b 3))>
#<alt (* -8 (pow b 3))>
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#<alt (* 2 (pow b 2))>
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#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* 2 (pow b 2))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
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#<alt b>
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#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
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#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
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#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
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#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -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))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* 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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* 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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
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#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
Calls

180 calls:

TimeVariablePointExpression
2.0ms
c
@0
(/ (* c 2) (/ (* (* a c) -2) b))
2.0ms
c
@0
(/ (* c 2) (- (sqrt (* -4 (* a c))) b))
1.0ms
a
@0
(/ (* c 2) (- (sqrt (* -4 (* a c))) b))
1.0ms
b
@inf
(/ (* c 2) (- (sqrt (* -4 (* a c))) b))
1.0ms
a
@0
(sqrt (* -4 (* a c)))

rewrite180.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1396×/-lowering-/.f32
1396×/-lowering-/.f64
1390×*-lowering-*.f32
1390×*-lowering-*.f64
454×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055252
1348232
02805232
Stop Event
iter limit
iter limit
node limit
Counts
26 → 458
Calls
Call 1
Inputs
(/ (/ -1/2 a) (/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
(if (>= b 0) (/ (/ -1/2 a) (/ 1 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
(/ -1/2 a)
(if (>= b 0) (- (/ c b) (/ b a)) (/ b (neg a)))
(- (/ c b) (/ b a))
(/ c b)
(/ (* c 2) (/ (* (* a c) -2) b))
(if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (- (sqrt (* -4 (* a c))) b)))
(/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))
(* 0 (* 2 b))
(- 0 (* 8 (* b (* b b))))
(+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt (+ (* b b) (* a (* -4 c))))
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(neg a)
(/ b a)
(/ (* (* a c) -2) b)
(* (* a c) -2)
(sqrt (* -4 (* a c)))
(/ (* c 2) (- (sqrt (* -4 (* a c))) b))
(- (sqrt (* -4 (* a c))) b)
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (neg.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) a)
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)) a)
(pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)))
(>=.f64 b #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal -1/2 binary64) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -2 binary64))
(pow.f64 (/.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(+.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 b a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 a c) (*.f64 a b)) (/.f64 (*.f64 b b) (*.f64 a b)))
(-.f64 (/.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a))))) (/.f64 (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a))))))
(-.f64 (/.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 c b) (/.f64 b a))))
(fma.f64 c (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (-.f64 (*.f64 a c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (/.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (*.f64 a b))
(/.f64 (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))) (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))))
(/.f64 (-.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
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(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (neg.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) a)
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -2 binary64)) a)
(pow.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))

simplify495.0ms (2.6%)

Algorithm
egg-herbie
Rules
7120×*-lowering-*.f32
7120×*-lowering-*.f64
4114×+-lowering-+.f64
4114×+-lowering-+.f32
1982×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079011320
1264510723
0830810723
Stop Event
iter limit
node limit
Counts
720 → 720
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* -1 (/ b a)))
(if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* -1 (/ b a)))
(if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* -1 (/ b a)))
(if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* -1 (/ b a)))
(if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* -1 (/ b a)))
(if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* -1 (/ b a)))
(if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (- (/ c b) (/ b a)) (* -1 (/ b a)))
(* -1 (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
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(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
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(* -1 (/ b a))
(* -1 (/ b a))
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(* -1 (/ b a))
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(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
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(* -1 (/ b a))
(* -1 (/ b a))
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(if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))))
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(if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))))
(if (>= b 0) (+ (* -1 (/ b a)) (/ c b)) (* 2 (/ c (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))))))
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(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
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(if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))
(if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))
(if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))
(if (>= b 0) (neg (+ (* -1 (/ c b)) (/ b a))) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))))
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(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))
(if (>= b 0) (- (/ c b) (/ b a)) (* 2 (/ c (- (* 2 (* (sqrt (* a c)) (sqrt -1))) b))))
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
(* -4 b)
0
0
0
0
0
0
0
0
0
0
0
0
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* -8 (pow b 3))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* 2 (pow b 2))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* -2 (* a c))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* a (pow b 3)) c)) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -2 (/ c b))
(/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b)
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b)
(* -2 (/ c b))
(* -1 (/ (+ (* 2 c) (* 2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) b))) b)) (* 2 c)) b))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1 (/ (+ (* 2 (* a (* (pow c 2) (pow (sqrt -4) 2)))) (* 2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) b)))) b))) b)) (* 2 c)) b))
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
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(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 b a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 b (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)))) a))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 b (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) a)) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 (+.f64 c (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 (+.f64 c (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c))) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (/.f64 b a) c))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/128 binary64)))) c)) c)) (neg.f64 c))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64)))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))

eval263.0ms (1.4%)

Compiler

Compiled 56719 to 2992 computations (94.7% saved)

prune286.0ms (1.5%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New1562141576
Fresh358
Picked235
Done022
Total1567241591
Accuracy
96.7%
Counts
1591 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
7.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
23.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
39.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 8 binary64)) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal 2 binary64))))) (*.f64 (*.f64 b #s(literal 8 binary64)) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal 2 binary64))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b #s(literal 8 binary64)) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal 2 binary64)))))))))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)))
49.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
56.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
3.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
5.6%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
64.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
32.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
41.6%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b)))
41.5%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)) b)))
52.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
68.9%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
71.7%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
51.6%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
52.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
32.5%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b a)) (/.f64 b (neg.f64 a)))
32.1%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
21.2%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Compiler

Compiled 1492 to 856 computations (42.6% saved)

simplify186.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64)))
cost-diff128
(+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))
cost-diff256
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b))
cost-diff256
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
cost-diff640
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))
cost-diff0
(-.f64 (*.f64 a c) (*.f64 b b))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
cost-diff384
(/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b))
cost-diff0
(/.f64 b (neg.f64 a))
cost-diff0
(/.f64 c b)
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
cost-diff0
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Rules
4616×*-lowering-*.f32
4616×*-lowering-*.f64
2032×/-lowering-/.f32
2032×/-lowering-/.f64
1916×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065596
1192544
2498524
31981479
47361479
08212479
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
b
0
(* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a))
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* b b)
(* a (* -4 c))
a
(* -4 c)
-4
c
(/ -1/2 a)
-1/2
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(* c 2)
2
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
(* a -4)
(if (>= b 0) (/ c b) (/ b (neg a)))
(>= b 0)
b
0
(/ c b)
c
(/ b (neg a))
(neg a)
a
(if (>= b 0) (* (- (* a c) (* b b)) (/ 1 (* a b))) (/ (* c 2) (/ (* (* a c) -2) b)))
(>= b 0)
b
0
(* (- (* a c) (* b b)) (/ 1 (* a b)))
(- (* a c) (* b b))
(* a c)
a
c
(* b b)
(/ 1 (* a b))
1
(* a b)
(/ (* c 2) (/ (* (* a c) -2) b))
(* c 2)
2
(/ (* (* a c) -2) b)
(* (* a c) -2)
-2
(if (>= b 0) (/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2)) (/ (* c 2) (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))))
(>= b 0)
b
0
(/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2))
(/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b)
(* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b))))
2
(+ (* a c) (/ (* a (* a (* c c))) (* b b)))
(* a c)
a
c
(/ (* a (* a (* c c))) (* b b))
(* a (* a (* c c)))
(* a (* c c))
(* c c)
(* b b)
(* a -2)
-2
(/ (* c 2) (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))))
(* c 2)
(/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))
(- 0 (* 8 (* b (* b b))))
(* 8 (* b (* b b)))
8
(* b (* b b))
(+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))
(+ (* b (* 2 b)) (* 0 (* 2 b)))
(* b (* 2 b))
(* 2 b)
(* 0 (* 2 b))
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (* b -4)))
(>= b 0)
b
0
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(* a -2)
-2
(/ (* c 2) (* b -4))
(* c 2)
2
(* b -4)
Outputs
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 #s(literal -1/2 binary64) a))
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* a (* -4 c)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* a (* -4 c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
a
(* -4 c)
(*.f64 #s(literal -4 binary64) c)
-4
#s(literal -4 binary64)
c
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
(/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* c (* a -4))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* a -4)
(*.f64 a #s(literal -4 binary64))
(if (>= b 0) (/ c b) (/ b (neg a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (-.f64 #s(literal 0 binary64) b) a))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ c b)
(/.f64 c b)
c
(/ b (neg a))
(/.f64 (-.f64 #s(literal 0 binary64) b) a)
(neg a)
(-.f64 #s(literal 0 binary64) a)
a
(if (>= b 0) (* (- (* a c) (* b b)) (/ 1 (* a b))) (/ (* c 2) (/ (* (* a c) -2) b)))
(if (>=.f64 b #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 c #s(literal 1 binary64)) b) (/.f64 (-.f64 #s(literal 0 binary64) b) a)) (/.f64 (-.f64 #s(literal 0 binary64) b) a))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(* (- (* a c) (* b b)) (/ 1 (* a b)))
(+.f64 (/.f64 (*.f64 c #s(literal 1 binary64)) b) (/.f64 (-.f64 #s(literal 0 binary64) b) a))
(- (* a c) (* b b))
(-.f64 (*.f64 a c) (*.f64 b b))
(* a c)
(*.f64 a c)
a
c
(* b b)
(*.f64 b b)
(/ 1 (* a b))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
1
#s(literal 1 binary64)
(* a b)
(*.f64 b a)
(/ (* c 2) (/ (* (* a c) -2) b))
(/.f64 (-.f64 #s(literal 0 binary64) b) a)
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (* a c) -2) b)
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
(* (* a c) -2)
(*.f64 c (*.f64 a #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(if (>= b 0) (/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2)) (/ (* c 2) (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2))
(*.f64 (*.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) b))
(/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b)
(*.f64 (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))) (/.f64 #s(literal 2 binary64) b))
(* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b))))
(*.f64 #s(literal 2 binary64) (*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b))))
2
#s(literal 2 binary64)
(+ (* a c) (/ (* a (* a (* c c))) (* b b)))
(*.f64 c (+.f64 a (/.f64 (/.f64 (*.f64 a (*.f64 a c)) b) b)))
(* a c)
(*.f64 a c)
a
c
(/ (* a (* a (* c c))) (* b b))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(* a (* a (* c c)))
(*.f64 a (*.f64 a (*.f64 c c)))
(* a (* c c))
(*.f64 a (*.f64 c c))
(* c c)
(*.f64 c c)
(* b b)
(*.f64 b b)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* c 2) (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* c 2)
(*.f64 c #s(literal 2 binary64))
(/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))
(*.f64 b #s(literal -4 binary64))
(- 0 (* 8 (* b (* b b))))
(*.f64 b (*.f64 (*.f64 b b) #s(literal -8 binary64)))
(* 8 (* b (* b b)))
(*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))
8
#s(literal 8 binary64)
(* b (* b b))
(*.f64 b (*.f64 b b))
(+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b))))
(*.f64 (*.f64 b b) #s(literal 2 binary64))
(+ (* b (* 2 b)) (* 0 (* 2 b)))
(*.f64 (*.f64 b b) #s(literal 2 binary64))
(* b (* 2 b))
(*.f64 (*.f64 b b) #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 0 (* 2 b))
#s(literal 0 binary64)
(if (>= b 0) (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) (/ (* c 2) (* b -4)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal -2 binary64)))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* a -2)
(*.f64 a #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* c 2) (* b -4))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* c 2)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* b -4)
(*.f64 b #s(literal -4 binary64))

localize852.0ms (4.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.1%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy94.2%
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
accuracy75.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy88.6%
(*.f64 a (*.f64 c c))
accuracy87.9%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64)))
accuracy78.8%
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
accuracy37.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))
accuracy97.6%
(-.f64 (*.f64 a c) (*.f64 b b))
accuracy89.0%
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)
accuracy82.0%
(/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b))
accuracy69.7%
(*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
accuracy100.0%
(>=.f64 b #s(literal 0 binary64))
accuracy100.0%
(/.f64 c b)
accuracy100.0%
(/.f64 b (neg.f64 a))
accuracy100.0%
(neg.f64 a)
accuracy82.0%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
accuracy75.0%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
accuracy64.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
Results
454.0ms114×2valid
132.0ms59×1valid
101.0ms80×0valid
27.0ms3valid
Compiler

Compiled 689 to 66 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 307.0ms
ival-mult: 123.0ms (40.1% of total)
backward-pass: 78.0ms (25.4% of total)
ival-div: 49.0ms (16% of total)
ival-add: 19.0ms (6.2% of total)
ival-if: 14.0ms (4.6% of total)
ival-sqrt: 10.0ms (3.3% of total)
ival-sub: 8.0ms (2.6% of total)
const: 2.0ms (0.7% of total)
ival->=: 2.0ms (0.7% of total)
ival-neg: 2.0ms (0.7% of total)

series38.0ms (0.2%)

Counts
25 → 756
Calls
Call 1
Inputs
#<alt (if (>= b 0) (* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))>
#<alt (>= b 0)>
#<alt (* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a))>
#<alt (+ b (sqrt (+ (* b b) (* a (* -4 c)))))>
#<alt (if (>= b 0) (/ c b) (/ b (neg a)))>
#<alt (/ c b)>
#<alt (/ b (neg a))>
#<alt (/ (* c 2) (/ (* (* a c) -2) b))>
#<alt (* (- (* a c) (* b b)) (/ 1 (* a b)))>
#<alt (- (* a c) (* b b))>
#<alt (/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))>
#<alt (/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2))>
#<alt (* 0 (* 2 b))>
#<alt (+ (* a c) (/ (* a (* a (* c c))) (* b b)))>
#<alt (/ (* c 2) (* b -4))>
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* a (* -4 c))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)>
#<alt (neg a)>
#<alt (/ (* (* a c) -2) b)>
#<alt (/ (* a (* a (* c c))) (* b b))>
#<alt (* a (* c c))>
#<alt (+ (* b b) (* c (* a -4)))>
Outputs
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -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))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* 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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* 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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (if (>= b 0) (/ c b) (* -1 (/ b a)))>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
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#<alt (* a c)>
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#<alt (* a c)>
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#<alt (* (pow b 2) (- (/ (* a c) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (* a c) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (* a c) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
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#<alt (* (pow b 2) (- (/ (* a c) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (* a c) (pow b 2)) 1))>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
#<alt (* -4 b)>
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#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
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#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))>
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#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
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#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* a c)>
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#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))>
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))>
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))>
#<alt (* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))>
#<alt (* a c)>
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#<alt (* c (+ a (/ (* (pow a 2) c) (pow b 2))))>
#<alt (* c (+ a (/ (* (pow a 2) c) (pow b 2))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))>
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))>
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))>
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))>
#<alt (* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))>
#<alt (/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))>
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#<alt (* a c)>
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#<alt (* a c)>
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#<alt (* -1/2 (/ c b))>
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#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
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#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
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#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* 2 b)>
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#<alt (* 2 b)>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* 2 b)>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
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#<alt (* -1 b)>
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#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* 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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* 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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* a (pow c 2))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
Calls

189 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2))
2.0ms
c
@-inf
(* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a))
1.0ms
a
@inf
(/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2))
1.0ms
a
@0
(/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2))
1.0ms
b
@0
(/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2))

rewrite339.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
2868×*-lowering-*.f32
2868×*-lowering-*.f64
2740×fma-lowering-fma.f32
2740×fma-lowering-fma.f64
1986×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061242
1389219
23232219
08156219
Stop Event
iter limit
node limit
Counts
25 → 642
Calls
Call 1
Inputs
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* c (* a -4)))) b)))
(>= b 0)
(* (+ b (sqrt (+ (* b b) (* a (* -4 c))))) (/ -1/2 a))
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(if (>= b 0) (/ c b) (/ b (neg a)))
(/ c b)
(/ b (neg a))
(/ (* c 2) (/ (* (* a c) -2) b))
(* (- (* a c) (* b b)) (/ 1 (* a b)))
(- (* a c) (* b b))
(/ (- 0 (* 8 (* b (* b b)))) (+ 0 (+ (* b (* 2 b)) (* 0 (* 2 b)))))
(/ (/ (* 2 (+ (* a c) (/ (* a (* a (* c c))) (* b b)))) b) (* a -2))
(* 0 (* 2 b))
(+ (* a c) (/ (* a (* a (* c c))) (* b b)))
(/ (* c 2) (* b -4))
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt (+ (* b b) (* c (* a -4))))
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(neg a)
(/ (* (* a c) -2) b)
(/ (* a (* a (* c c))) (* b b))
(* a (* c c))
(+ (* b b) (* c (* a -4)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)))
(>=.f64 b #s(literal 0 binary64))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(+.f64 (*.f64 b (/.f64 #s(literal -1/2 binary64) a)) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) #s(literal -1 binary64)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 #s(literal -1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 #s(literal -4 binary64) (*.f64 a c)))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1 binary64)))

simplify415.0ms (2.2%)

Algorithm
egg-herbie
Rules
6646×*-lowering-*.f32
6646×*-lowering-*.f64
3638×+-lowering-+.f64
3638×+-lowering-+.f32
1674×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067710845
123179971
081339971
Stop Event
iter limit
node limit
Counts
756 → 756
Calls
Call 1
Inputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(if (>= b 0) (/ c b) (* -1 (/ b a)))
(/ c b)
(/ c b)
(/ c b)
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(/ c b)
(/ c b)
(/ c b)
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(/ c b)
(/ c b)
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(* -1 (/ b a))
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(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
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(/ c b)
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(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ b a))
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(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
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(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
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(- (* a c) (pow b 2))
(* a c)
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(* a (+ c (* -1 (/ (pow b 2) a))))
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(* -1 (* a (+ (* -1 c) (/ (pow b 2) a))))
(* -1 (* a (+ (* -1 c) (/ (pow b 2) a))))
(* -1 (* a (+ (* -1 c) (/ (pow b 2) a))))
(* -1 (pow b 2))
(- (* a c) (pow b 2))
(- (* a c) (pow b 2))
(- (* a c) (pow b 2))
(* a c)
(* c (+ a (* -1 (/ (pow b 2) c))))
(* c (+ a (* -1 (/ (pow b 2) c))))
(* c (+ a (* -1 (/ (pow b 2) c))))
(* a c)
(* -1 (* c (+ (* -1 a) (/ (pow b 2) c))))
(* -1 (* c (+ (* -1 a) (/ (pow b 2) c))))
(* -1 (* c (+ (* -1 a) (/ (pow b 2) c))))
(* a c)
(+ (* -1 (pow b 2)) (* a c))
(+ (* -1 (pow b 2)) (* a c))
(+ (* -1 (pow b 2)) (* a c))
(* -1 (pow b 2))
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(* -4 b)
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(* -4 b)
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(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
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(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
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(* -1 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
0
0
0
0
0
0
0
0
0
0
0
0
(* a c)
(* a (+ c (/ (* a (pow c 2)) (pow b 2))))
(* a (+ c (/ (* a (pow c 2)) (pow b 2))))
(* a (+ c (/ (* a (pow c 2)) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (pow a 2) (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a c)
(* c (+ a (/ (* (pow a 2) c) (pow b 2))))
(* c (+ a (/ (* (pow a 2) c) (pow b 2))))
(* c (+ a (/ (* (pow a 2) c) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(* (pow c 2) (+ (/ a c) (/ (pow a 2) (pow b 2))))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))
(/ (+ (* a (* (pow b 2) c)) (* (pow a 2) (pow c 2))) (pow b 2))
(* a c)
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* a c)
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* -1/2 (/ c b))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
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(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
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(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* 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)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -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))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
Outputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -4))
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
(/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b))
(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(/ (* (pow a 2) (pow c 2)) (pow b 2))
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(* a (pow c 2))
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(+ (* -4 (* a c)) (pow b 2))
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(pow b 2)
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))
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(pow b 2)
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(pow b 2)
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(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -4 binary64) c)))
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(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -4 binary64) c)))
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(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal -4 binary64) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))

eval314.0ms (1.7%)

Compiler

Compiled 62901 to 3633 computations (94.2% saved)

prune275.0ms (1.5%)

Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New1555121567
Fresh21214
Picked325
Done145
Total1561301591
Accuracy
96.7%
Counts
1591 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
16.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 b #s(literal 2 binary64))) b)))
4.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64)))))
7.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64))) #s(literal 1 binary64)))))
4.6%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64))))))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
23.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)))
49.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) #s(literal 1 binary64))))
56.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
3.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
3.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
3.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
5.6%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
3.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
64.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
41.6%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b)))
41.5%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)) b)))
52.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
68.9%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
71.7%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
48.3%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
51.6%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
52.4%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
32.1%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
20.8%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
77.0%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
20.9%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
2.9%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
Compiler

Compiled 2537 to 853 computations (66.4% saved)

regimes89.0ms (0.5%)

Counts
48 → 3
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64))) #s(literal 1 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 b #s(literal 2 binary64))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) c))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) #s(literal 1 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b #s(literal 8 binary64)) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal 2 binary64))))) (*.f64 (*.f64 b #s(literal 8 binary64)) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal 2 binary64))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 b #s(literal 8 binary64)) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b #s(literal 2 binary64)))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
Calls

4 calls:

30.0ms
b
21.0ms
a
14.0ms
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
13.0ms
c
Results
AccuracySegmentsBranch
79.4%2a
93.5%3b
79.3%2c
93.5%5(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes23.0ms (0.1%)

Counts
36 → 3
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64))) #s(literal 1 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 b #s(literal 2 binary64))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) c))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 b c)) #s(literal 1 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
93.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Counts
32 → 3
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64))) #s(literal 1 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 b #s(literal 2 binary64))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) c))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
93.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.1%)

Counts
27 → 4
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64))) #s(literal 1 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 b #s(literal 2 binary64))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
84.8%4b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.2%)

Counts
26 → 2
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64))) #s(literal 1 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 b #s(literal 2 binary64))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b)))
Calls

3 calls:

9.0ms
b
8.0ms
a
8.0ms
c
Results
AccuracySegmentsBranch
71.7%1c
71.7%1a
79.2%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.1%)

Counts
25 → 2
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64))) #s(literal 1 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 b #s(literal 2 binary64))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
79.2%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts
24 → 1
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64))) #s(literal 1 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 b #s(literal 2 binary64))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -8 binary64)) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal 8 binary64))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 4 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c b) (/.f64 b c)) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 c b) (/.f64 (/.f64 c b) (/.f64 b c))) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
71.7%1b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
Calls

3 calls:

3.0ms
a
3.0ms
c
3.0ms
b
Results
AccuracySegmentsBranch
48.3%1a
48.3%1c
48.3%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
c
Results
AccuracySegmentsBranch
32.5%1c
32.5%1a
32.5%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0%)

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

3 calls:

4.0ms
a
2.0ms
c
2.0ms
b
Results
AccuracySegmentsBranch
32.1%1c
32.1%1a
32.1%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
Calls

3 calls:

1.0ms
a
1.0ms
b
1.0ms
c
Results
AccuracySegmentsBranch
3.2%1c
3.2%1b
3.2%1a
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
6.269343792555313e+129
1.639240138563096e+132
21.0ms
-5.590887793872695e+86
-1.191639180847983e+86
Results
35.0ms224×0valid
2.0ms15×0invalid
Compiler

Compiled 891 to 505 computations (43.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 8.0ms (31.5% of total)
ival-mult: 8.0ms (31.5% of total)
ival-sub: 2.0ms (7.9% of total)
ival-sqrt: 2.0ms (7.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-if: 1.0ms (3.9% of total)
const: 1.0ms (3.9% of total)
ival->=: 1.0ms (3.9% of total)
ival-neg: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
6.269343792555313e+129
1.639240138563096e+132
27.0ms
-5.590887793872695e+86
-1.191639180847983e+86
Results
38.0ms224×0valid
1.0ms12×0invalid
Compiler

Compiled 891 to 561 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 16.0ms (53.3% of total)
ival-sqrt: 4.0ms (13.3% of total)
ival-div: 3.0ms (10% of total)
ival-sub: 2.0ms (6.7% of total)
ival-add: 1.0ms (3.3% of total)
ival-if: 1.0ms (3.3% of total)
const: 1.0ms (3.3% of total)
ival->=: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
11.0ms
6.269343792555313e+129
1.639240138563096e+132
20.0ms
-5.590887793872695e+86
-1.191639180847983e+86
Results
21.0ms160×0valid
0.0ms0invalid
Compiler

Compiled 655 to 413 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (33.2% of total)
ival-sub: 3.0ms (19.9% of total)
ival-div: 2.0ms (13.3% of total)
ival-add: 1.0ms (6.6% of total)
ival-if: 1.0ms (6.6% of total)
ival-sqrt: 1.0ms (6.6% of total)
ival->=: 1.0ms (6.6% of total)
ival-neg: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch109.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.8938277391368546e-28
3.2678044719553875e-24
47.0ms
1.5524461520450378e-304
1.2604462462772905e-285
25.0ms
-2.8380640691035738e-49
-1.1565756491283493e-50
Results
58.0ms400×0valid
19.0ms149×0invalid
Compiler

Compiled 1334 to 892 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 23.0ms (44.6% of total)
ival-div: 7.0ms (13.6% of total)
ival-sub: 5.0ms (9.7% of total)
ival-sqrt: 4.0ms (7.8% of total)
ival-add: 3.0ms (5.8% of total)
ival-if: 3.0ms (5.8% of total)
ival-neg: 3.0ms (5.8% of total)
ival->=: 2.0ms (3.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-2.8380640691035738e-49
-1.1565756491283493e-50
Results
14.0ms112×0valid
5.0ms21×0invalid
Compiler

Compiled 390 to 256 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (35.7% of total)
ival-div: 2.0ms (17.8% of total)
ival-add: 1.0ms (8.9% of total)
ival-if: 1.0ms (8.9% of total)
ival-sub: 1.0ms (8.9% of total)
ival-sqrt: 1.0ms (8.9% of total)
ival->=: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-2.8380640691035738e-49
-1.1565756491283493e-50
Results
14.0ms112×0valid
9.0ms25×0invalid
Compiler

Compiled 390 to 256 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (45% of total)
ival-mult: 4.0ms (22.5% of total)
ival-add: 1.0ms (5.6% of total)
ival-if: 1.0ms (5.6% of total)
ival-sub: 1.0ms (5.6% of total)
ival-sqrt: 1.0ms (5.6% of total)
ival->=: 1.0ms (5.6% of total)
ival-neg: 1.0ms (5.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify167.0ms (0.9%)

Algorithm
egg-herbie
Rules
2040×if-if-or_binary32
2040×if-if-and_binary32
1926×if-if-or-not_binary32
1926×if-if-and-not_binary32
40×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095487
1129479
2142479
3158479
4230479
5246479
6259479
7275479
8277479
9277479
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 10800000000000000350142198584398849907796432721448034427337223729696918852599020879372491882122849930114339639987002118625445281792 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))))
(if (<=.f64 b #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 1359999999999999943397964727249519408861263123815332018609057445142729778163126892478210006144820650918680858848023258802562319515648 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))))
(if (<=.f64 b #s(literal -540000000000000035507560811726686586462846662555015541814885713753236257345716931788800 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))))
(if (<=.f64 b #s(literal -5660535677184949/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 7906338019816821/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) (if (<=.f64 b #s(literal 4906163943676737/22300745198530623141535718272648361505980416 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a))))))
(if (<=.f64 b #s(literal -5265614583427859/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))))
(if (<=.f64 b #s(literal -2501166927128233/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
Outputs
(if (<=.f64 b #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 10800000000000000350142198584398849907796432721448034427337223729696918852599020879372491882122849930114339639987002118625445281792 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))))
(if (<=.f64 b #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 10800000000000000350142198584398849907796432721448034427337223729696918852599020879372491882122849930114339639987002118625445281792 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (-.f64 #s(literal 0 binary64) b) a))))
(if (<=.f64 b #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 1359999999999999943397964727249519408861263123815332018609057445142729778163126892478210006144820650918680858848023258802562319515648 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))))
(if (<=.f64 b #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 1359999999999999943397964727249519408861263123815332018609057445142729778163126892478210006144820650918680858848023258802562319515648 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (-.f64 #s(literal 0 binary64) b) a))))
(if (<=.f64 b #s(literal -540000000000000035507560811726686586462846662555015541814885713753236257345716931788800 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))))
(if (<=.f64 b #s(literal -540000000000000035507560811726686586462846662555015541814885713753236257345716931788800 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (-.f64 #s(literal 0 binary64) b) a))))
(if (<=.f64 b #s(literal -5660535677184949/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 7906338019816821/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))) (if (<=.f64 b #s(literal 4906163943676737/22300745198530623141535718272648361505980416 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a))))))
(if (<=.f64 b #s(literal -5660535677184949/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 7906338019816821/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))) (if (<=.f64 b #s(literal 4906163943676737/22300745198530623141535718272648361505980416 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 a #s(literal -2 binary64))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (-.f64 #s(literal 0 binary64) b) a)))))
(if (<=.f64 b #s(literal -5265614583427859/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))) b))))
(if (<=.f64 b #s(literal -5265614583427859/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b))))
(if (<=.f64 b #s(literal -2501166927128233/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c))) b)) c)))
(if (<=.f64 b #s(literal -2501166927128233/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -2 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 b #s(literal -4 binary64))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (-.f64 #s(literal 0 binary64) b) a))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) b) a)
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 b (neg.f64 a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (-.f64 #s(literal 0 binary64) b) a))

soundness5.1s (27.4%)

Rules
8836×*-lowering-*.f32
8836×*-lowering-*.f64
7120×*-lowering-*.f32
7120×*-lowering-*.f64
7050×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079011320
1264510723
0830810723
08205874
129045529
090405529
055252
1348232
02805232
045309
1282288
22336286
09163286
02036
14735
212233
329932
457232
5121132
6353432
7626832
8741932
0803932
02098
18691
269591
0864691
0131616770
1470615812
0867615812
067710845
123179971
081339971
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1625 to 847 computations (47.9% saved)

preprocess69.0ms (0.4%)

Compiler

Compiled 1062 to 224 computations (78.9% saved)

end0.0ms (0%)

Profiling

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