Quadratic roots, full range

Time bar (total: 12.6s)

analyze178.0ms (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
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 38.0ms (42.8% of total)
ival-sqrt: 17.0ms (19.1% of total)
ival-div: 8.0ms (9% of total)
ival-neg: 8.0ms (9% of total)
ival-sub: 7.0ms (7.9% of total)
ival-add: 7.0ms (7.9% of total)
const: 2.0ms (2.3% of total)
backward-pass: 1.0ms (1.1% of total)

sample2.2s (17.6%)

Results
828.0ms5480×0valid
654.0ms1921×2valid
188.0ms855×1valid
95.0ms954×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 455.0ms (34.4% of total)
ival-div: 381.0ms (28.8% of total)
ival-sqrt: 135.0ms (10.2% of total)
ival-neg: 94.0ms (7.1% of total)
ival-sub: 85.0ms (6.4% of total)
ival-add: 81.0ms (6.1% of total)
backward-pass: 73.0ms (5.5% of total)
const: 22.0ms (1.7% of total)
Bogosity

preprocess203.0ms (1.6%)

Algorithm
egg-herbie
Rules
2302×fnmadd-define
1686×fma-define
1682×fnmadd-define
1680×div-sub
1636×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058165
1190150
2551140
31497140
44635140
01416
13415
27314
317214
429614
552814
6104614
7224214
8518214
9775714
0817314
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
Call 2
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)))
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a))
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/ (- (sqrt (fma a (* c -4) (square b))) b) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a -2))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a 2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a 2))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)))
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a -2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a -2))
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b))
(/ (- (sqrt (fma b (* c -4) (square a))) a) (* b 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c))
(/ (- (sqrt (fma a (* c -4) (square b))) b) (* c 2))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a))
(/ (- c (sqrt (fma b (* a -4) (square c)))) (* a -2))

explain182.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1080-1(2.246030231855919e-271 8.227508113690603e-160 -2.433572679494326e-258)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
590-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
130-1(-2.405240024527118e-253 2.030811007601771e+189 3.904730794012929e+121)(/.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))
50-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
10-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-b
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-(neg.f64 b)
00-0-#s(literal 2 binary64)
00-0-c
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-(*.f64 b b)
00-0-#s(literal 4 binary64)
00-0-a
Results
63.0ms120×2valid
48.0ms348×0valid
13.0ms44×1valid
Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 22.0ms (36.9% of total)
backward-pass: 8.0ms (13.4% of total)
ival-sqrt: 7.0ms (11.7% of total)
ival-div: 6.0ms (10.1% of total)
ival-add: 6.0ms (10.1% of total)
ival-neg: 5.0ms (8.4% of total)
ival-sub: 4.0ms (6.7% of total)
const: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify125.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
Rules
2146×fnmadd-define
1564×fma-define
1456×fnmsub-define
1296×fmm-def
1262×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
12857
25657
38657
414757
524657
640957
782357
8195557
9440157
10643657
11725257
0806557
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
a
(* c -4)
c
-4
(* a 2)
2
Outputs
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(* a 2)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize74.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy95.6%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
accuracy78.4%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
accuracy60.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
25.0ms174×0valid
23.0ms60×2valid
7.0ms22×1valid
Compiler

Compiled 70 to 14 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 11.0ms (36.5% of total)
ival-div: 7.0ms (23.2% of total)
ival-sqrt: 3.0ms (10% of total)
backward-pass: 3.0ms (10% of total)
ival-sub: 2.0ms (6.6% of total)
ival-add: 2.0ms (6.6% of total)
const: 1.0ms (3.3% of total)

series22.0ms (0.2%)

Counts
4 → 144
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))>
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (+ (* b b) (* a (* c -4)))>
Outputs
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<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))))))>
#<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 (* 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 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 (* -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 (* 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))))>
#<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))))>
Calls

36 calls:

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

rewrite330.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
4744×*-lowering-*.f32
4744×*-lowering-*.f64
3218×/-lowering-/.f32
3218×/-lowering-/.f64
1202×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
16339
253939
3759039
0808839
Stop Event
iter limit
node limit
Counts
4 → 382
Calls
Call 1
Inputs
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
Outputs
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
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(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c)))))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c)))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c)))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 a c))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))

simplify291.0ms (2.3%)

Algorithm
egg-herbie
Rules
5864×*-lowering-*.f32
5864×*-lowering-*.f64
2358×+-lowering-+.f64
2358×+-lowering-+.f32
1600×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05433071
118862859
271322847
080012847
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (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))))))
(* (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))))))))
(* -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))
(* 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))))
(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))))
Outputs
(* 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+.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 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) c)) b)
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 b (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 c a) b) b)))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))

eval74.0ms (0.6%)

Compiler

Compiled 21444 to 1961 computations (90.9% saved)

prune80.0ms (0.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New51016526
Fresh000
Picked101
Done000
Total51116527
Accuracy
90.8%
Counts
527 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
30.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
50.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
10.4%
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
34.1%
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
50.7%
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64)))
25.7%
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
33.1%
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
10.6%
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64)))
34.1%
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
29.8%
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
34.3%
(/.f64 b (neg.f64 a))
50.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
34.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
50.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
32.4%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
Compiler

Compiled 602 to 394 computations (34.6% saved)

simplify134.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
cost-diff0
(*.f64 b b)
cost-diff128
(sqrt.f64 (*.f64 b b))
cost-diff128
(-.f64 (sqrt.f64 (*.f64 b b)) b)
cost-diff128
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
cost-diff0
(/.f64 c (*.f64 b b))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))
cost-diff384
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
cost-diff-64
(neg.f64 a)
cost-diff-64
(/.f64 b (neg.f64 a))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
cost-diff256
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
cost-diff256
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b)
cost-diff256
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64)))
Rules
2124×sum5-define
1468×fmm-def
1464×fma-lowering-fma.f32
1464×fma-lowering-fma.f64
1452×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031215
177204
2175204
3452204
41351201
53542201
67069201
08213201
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2))
(- (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))) b)
(sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4))))))
(/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))
1
(/ 1 (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
a
(* c -4)
c
-4
(* a 2)
2
(/ b (neg a))
b
(neg a)
a
(* (- (/ 1 a) (/ c (* b b))) (- 0 b))
(- (/ 1 a) (/ c (* b b)))
(/ 1 a)
1
a
(/ c (* b b))
c
(* b b)
b
(- 0 b)
0
(/ (- (sqrt (* b b)) b) (* a 2))
(- (sqrt (* b b)) b)
(sqrt (* b b))
(* b b)
b
(* a 2)
a
2
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/ 1 a)
1
a
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))
2
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
(* c -4)
c
-4
Outputs
(/ (- (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 2 binary64)))
(- (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4))))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
1
#s(literal 1 binary64)
(/ 1 (+ (* b b) (* a (* c -4))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
b
(* a (* c -4))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
a
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
(* a 2)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ b (neg a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
b
(neg a)
(-.f64 #s(literal 0 binary64) a)
a
(* (- (/ 1 a) (/ c (* b b))) (- 0 b))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ 1 a) (/ c (* b b)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ c (* b b))
(/.f64 c (*.f64 b b))
c
(* b b)
(*.f64 b b)
b
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(/ (- (sqrt (* b b)) b) (* a 2))
(/.f64 (-.f64 (fabs.f64 b) b) (*.f64 a #s(literal 2 binary64)))
(- (sqrt (* b b)) b)
(-.f64 (fabs.f64 b) b)
(sqrt (* b b))
(fabs.f64 b)
(* b b)
(*.f64 b b)
b
(* a 2)
(*.f64 a #s(literal 2 binary64))
a
2
#s(literal 2 binary64)
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 2 binary64)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
b
(* a (* c -4))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)

localize235.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy95.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
accuracy78.4%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
accuracy60.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
accuracy100.0%
(-.f64 (sqrt.f64 (*.f64 b b)) b)
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 a #s(literal 2 binary64))
accuracy56.0%
(sqrt.f64 (*.f64 b b))
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))
accuracy91.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
accuracy87.7%
(/.f64 c (*.f64 b b))
accuracy100.0%
(/.f64 b (neg.f64 a))
accuracy100.0%
(neg.f64 a)
accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy95.6%
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64)))
accuracy78.4%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b)
accuracy60.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
Results
55.0ms151×0valid
52.0ms44×2valid
50.0ms45×1valid
25.0ms16×3valid
Compiler

Compiled 268 to 32 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 26.0ms (30.4% of total)
ival-mult: 18.0ms (21% of total)
backward-pass: 15.0ms (17.5% of total)
ival-sub: 11.0ms (12.9% of total)
ival-sqrt: 10.0ms (11.7% of total)
ival-add: 2.0ms (2.3% of total)
ival-neg: 2.0ms (2.3% of total)
const: 1.0ms (1.2% of total)

series40.0ms (0.3%)

Counts
20 → 540
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2))>
#<alt (- (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))) b)>
#<alt (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4))))))>
#<alt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))>
#<alt (/ b (neg a))>
#<alt (neg a)>
#<alt (* (- (/ 1 a) (/ c (* b b))) (- 0 b))>
#<alt (- (/ 1 a) (/ c (* b b)))>
#<alt (/ 1 a)>
#<alt (/ c (* b b))>
#<alt (/ (- (sqrt (* b b)) b) (* a 2))>
#<alt (- (sqrt (* b b)) b)>
#<alt (sqrt (* b b))>
#<alt (* b b)>
#<alt (/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))>
#<alt (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))>
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)>
#<alt (+ (* b b) (* a (* c -4)))>
#<alt (* a 2)>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
Outputs
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
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#<alt (* -1 (/ b a))>
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#<alt (* -1 (/ c b))>
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#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
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#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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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 (* 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)))) (+ (* 1/512 (* (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 (* -4 (* a c))>
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#<alt (pow b 2)>
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#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
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#<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)>
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#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
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#<alt (pow b 2)>
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#<alt (/ c b)>
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#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
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#<alt (/ c b)>
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#<alt (/ 1 a)>
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#<alt (* -2 b)>
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#<alt (* -1 (/ c b))>
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#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
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#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* -4 (* a c))>
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#<alt (pow b 2)>
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#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
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#<alt (* 2 a)>
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#<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 (* 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 (* 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 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))))))))>
Calls

135 calls:

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

rewrite443.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
5102×*-lowering-*.f32
5102×*-lowering-*.f64
2910×/-lowering-/.f32
2910×/-lowering-/.f64
1894×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031147
1221135
21934135
09572135
Stop Event
iter limit
node limit
Counts
20 → 891
Calls
Call 1
Inputs
(/ (- (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2))
(- (sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))) b)
(sqrt (/ 1 (/ 1 (+ (* b b) (* a (* c -4))))))
(/ 1 (/ 1 (+ (* b b) (* a (* c -4)))))
(/ b (neg a))
(neg a)
(* (- (/ 1 a) (/ c (* b b))) (- 0 b))
(- (/ 1 a) (/ c (* b b)))
(/ 1 a)
(/ c (* b b))
(/ (- (sqrt (* b b)) b) (* a 2))
(- (sqrt (* b b)) b)
(sqrt (* b b))
(* b b)
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(+ (* b b) (* a (* c -4)))
(* a 2)
(sqrt (+ (* b b) (* a (* c -4))))
Outputs
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) a) (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b) a)) (/.f64 (sqrt.f64 b) #s(literal 2 binary64)) (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 (/.f64 (sqrt.f64 b) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 b)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b) (*.f64 a #s(literal 2 binary64)))) (sqrt.f64 b) (*.f64 (/.f64 (sqrt.f64 b) (*.f64 a #s(literal 2 binary64))) (sqrt.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)) #s(literal -2 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) b)) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) b))) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
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(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))

simplify437.0ms (3.5%)

Algorithm
egg-herbie
Rules
7062×*-lowering-*.f32
7062×*-lowering-*.f64
4586×+-lowering-+.f64
4586×+-lowering-+.f32
1522×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08418350
129827752
083047752
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (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))))))
(* (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))))))))
(* -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))
(* 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))))
(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))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) 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))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ 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 a)
(/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)
(/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)
(/ (+ 1 (* -1 (/ (* a c) (pow b 2)))) a)
(* -1 (/ c (pow b 2)))
(- (/ 1 a) (/ c (pow b 2)))
(- (/ 1 a) (/ c (pow b 2)))
(- (/ 1 a) (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(- (/ 1 a) (/ c (pow b 2)))
(- (/ 1 a) (/ c (pow b 2)))
(- (/ 1 a) (/ c (pow b 2)))
(/ 1 a)
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(* -1 (/ c (pow b 2)))
(* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* c (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* -1 (/ c (pow b 2)))
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))
(* -1 (* c (- (/ 1 (pow b 2)) (/ 1 (* a c)))))
(* -1 (/ c (pow b 2)))
(/ (- (/ (pow b 2) a) c) (pow b 2))
(/ (- (/ (pow b 2) a) c) (pow b 2))
(/ (- (/ (pow b 2) a) c) (pow b 2))
(/ 1 a)
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(/ 1 a)
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(+ (* -1 (/ c (pow b 2))) (/ 1 a))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
0
0
0
0
0
0
0
0
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
b
b
b
b
b
b
b
b
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(* -1 (/ b (* a c)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))))))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* (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))))))
(* -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))
(* 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))))
(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))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* (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))))))))
Outputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.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))) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ c b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) c) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) a))) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)))) b)
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))))))
(* -1 (/ c b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 a (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) (*.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 -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) (*.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 -4 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) b)) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) a)) a))
(* -1 (/ c b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (*.f64 a b)))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))) (+.f64 (*.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)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 #s(literal -1/8 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)))))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) c)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) b)
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal -1 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))))) #s(literal -1 binary64))))
(* -2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)))) 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)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) 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)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 c a) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64)))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -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))))))))
(*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) b))
(* -2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
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(* 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))))))))
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(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -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))))))))
(*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+.f64 b (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 b b))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(+.f64 b (*.f64 a (+.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/8 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (*.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))))))))
(* -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)))))))
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (+.f64 (*.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))))) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c))))))) (-.f64 #s(literal 0 binary64) a))
(* -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))))))))
(*.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (*.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)))))) (+.f64 (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c))))))) (-.f64 #s(literal 0 binary64) a))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.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))))))))
(* 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)))))
(*.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 (*.f64 #s(literal -1/8 binary64) (/.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) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.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 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.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) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (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))))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.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)))))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.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)))))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))))

eval272.0ms (2.2%)

Compiler

Compiled 42298 to 4375 computations (89.7% saved)

prune282.0ms (2.2%)

Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New1702241726
Fresh6511
Picked415
Done000
Total1712301742
Accuracy
90.8%
Counts
1742 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
30.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
26.8%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
29.9%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
33.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
29.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
28.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
28.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
13.0%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))))) b) (*.f64 a #s(literal 2 binary64)))
24.9%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) a) (*.f64 a (/.f64 (*.f64 a #s(literal 2 binary64)) b)))
10.4%
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
27.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
22.2%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
33.4%
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) b) (*.f64 a #s(literal 2 binary64)))
33.1%
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
19.6%
(/.f64 (-.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/2 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
10.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
20.9%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
34.1%
(/.f64 c (-.f64 #s(literal 0 binary64) b))
10.5%
(/.f64 c b)
12.9%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
34.3%
(/.f64 b (neg.f64 a))
50.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
34.3%
(-.f64 (/.f64 c b) (/.f64 b a))
28.6%
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
34.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
15.5%
(*.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 a))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
10.4%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
10.6%
#s(literal 0 binary64)
Compiler

Compiled 993 to 635 computations (36.1% saved)

simplify188.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
cost-diff256
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
cost-diff256
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) b)
cost-diff256
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) b) (*.f64 a #s(literal 2 binary64)))
cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
cost-diff0
(/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 c (*.f64 b b))
cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))
cost-diff512
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
Rules
1906×*-lowering-*.f32
1906×*-lowering-*.f64
1406×fma-define
1328×fma-lowering-fma.f32
1328×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
034194
183189
2193189
3535184
41308177
53543174
08459174
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
1/2
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
a
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* b b)
b
(* a (* c -4))
(* c -4)
c
-4
0
(* (- 0 (/ c (* b b))) (- 0 b))
(- 0 (/ c (* b b)))
0
(/ c (* b b))
c
(* b b)
b
(- 0 b)
(/ (/ 1 a) (/ (- (/ c b) (/ b a)) c))
(/ 1 a)
1
a
(/ (- (/ c b) (/ b a)) c)
(- (/ c b) (/ b a))
(/ c b)
c
b
(/ b a)
(/ (- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b) (* a 2))
(- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b)
(sqrt (/ 1 (/ 1 (* -4 (* c a)))))
(/ 1 (/ 1 (* -4 (* c a))))
1
(/ 1 (* -4 (* c a)))
(* -4 (* c a))
-4
(* c a)
c
a
b
(* a 2)
2
Outputs
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (/.f64 a (/.f64 #s(literal -1/4 binary64) c)))) b) a))
1/2
#s(literal 1/2 binary64)
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (/.f64 a (/.f64 #s(literal -1/4 binary64) c)))) b))
a
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (/.f64 a (/.f64 #s(literal -1/4 binary64) c)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (/.f64 a (/.f64 #s(literal -1/4 binary64) c))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (/.f64 a (/.f64 #s(literal -1/4 binary64) c)))
(* b b)
(*.f64 b b)
b
(* a (* c -4))
(/.f64 a (/.f64 #s(literal -1/4 binary64) c))
(* c -4)
(*.f64 c #s(literal -4 binary64))
c
-4
#s(literal -4 binary64)
0
#s(literal 0 binary64)
(* (- 0 (/ c (* b b))) (- 0 b))
(/.f64 c b)
(- 0 (/ c (* b b)))
(/.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) b)
0
#s(literal 0 binary64)
(/ c (* b b))
(/.f64 c (*.f64 b b))
c
(* b b)
(*.f64 b b)
b
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
(/ (/ 1 a) (/ (- (/ c b) (/ b a)) c))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ (- (/ c b) (/ b a)) c)
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
c
b
(/ b a)
(/.f64 b a)
(/ (- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b) (* a 2))
(/.f64 (-.f64 (sqrt.f64 (/.f64 a (/.f64 #s(literal -1/4 binary64) c))) b) (*.f64 a #s(literal 2 binary64)))
(- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b)
(-.f64 (sqrt.f64 (/.f64 a (/.f64 #s(literal -1/4 binary64) c))) b)
(sqrt (/ 1 (/ 1 (* -4 (* c a)))))
(sqrt.f64 (/.f64 a (/.f64 #s(literal -1/4 binary64) c)))
(/ 1 (/ 1 (* -4 (* c a))))
(/.f64 a (/.f64 #s(literal -1/4 binary64) c))
1
#s(literal 1 binary64)
(/ 1 (* -4 (* c a)))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(* -4 (* c a))
(/.f64 a (/.f64 #s(literal -1/4 binary64) c))
-4
#s(literal -4 binary64)
(* c a)
(*.f64 a c)
c
a
b
(* a 2)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize203.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) b) (*.f64 a #s(literal 2 binary64)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
accuracy84.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) a)
accuracy100.0%
(-.f64 (/.f64 c b) (/.f64 b a))
accuracy95.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
accuracy89.2%
(/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)
accuracy100.0%
(-.f64 #s(literal 0 binary64) b)
accuracy100.0%
(*.f64 b b)
accuracy91.8%
(/.f64 c (*.f64 b b))
accuracy85.6%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
accuracy96.7%
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
accuracy88.1%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
accuracy75.4%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
Results
64.0ms35×2valid
48.0ms129×0valid
27.0ms78×0invalid
12.0ms12×1valid
2.0ms3valid
Compiler

Compiled 227 to 35 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-div: 23.0ms (32.9% of total)
ival-mult: 21.0ms (30% of total)
backward-pass: 10.0ms (14.3% of total)
ival-sub: 8.0ms (11.4% of total)
ival-sqrt: 5.0ms (7.2% of total)
ival-add: 2.0ms (2.9% of total)
const: 1.0ms (1.4% of total)

series53.0ms (0.4%)

Counts
18 → 504
Calls
Call 1
Inputs
#<alt (/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))>
#<alt (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))>
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (* (- 0 (/ c (* b b))) (- 0 b))>
#<alt (- 0 (/ c (* b b)))>
#<alt (/ c (* b b))>
#<alt (* b b)>
#<alt (/ (/ 1 a) (/ (- (/ c b) (/ b a)) c))>
#<alt (/ 1 a)>
#<alt (/ (- (/ c b) (/ b a)) c)>
#<alt (- (/ c b) (/ b a))>
#<alt (/ (- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b) (* a 2))>
#<alt (- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b)>
#<alt (sqrt (/ 1 (/ 1 (* -4 (* c a)))))>
#<alt (/ 1 (/ 1 (* -4 (* c a))))>
#<alt (- 0 b)>
#<alt (/ 1 (* -4 (* c a)))>
Outputs
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1/2 (/ b c))>
#<alt (+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))>
#<alt (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))>
#<alt (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))>
#<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)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (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)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))>
#<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 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 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)))))))))) (+ (* -1/16 (* (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 (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))>
#<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 (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (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 (/ b c))>
#<alt (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))>
#<alt (* 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 (* 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 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ (* -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 (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)>
#<alt (/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)>
#<alt (/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) 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)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)>
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#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<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))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 b)>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -4 (* a c))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
Calls

126 calls:

TimeVariablePointExpression
10.0ms
b
@-inf
(/ (- (/ c b) (/ b a)) c)
5.0ms
a
@0
(/ (/ 1 a) (/ (- (/ c b) (/ b a)) c))
2.0ms
c
@0
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
1.0ms
c
@0
(/ (- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b) (* a 2))
1.0ms
c
@inf
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))

rewrite821.0ms (6.5%)

Algorithm
batch-egg-rewrite
Rules
5798×*-lowering-*.f32
5798×*-lowering-*.f64
3520×/-lowering-/.f32
3520×/-lowering-/.f64
2102×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034135
1233130
22205130
010855130
Stop Event
iter limit
node limit
Counts
18 → 774
Calls
Call 1
Inputs
(/ 1/2 (/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(* (- 0 (/ c (* b b))) (- 0 b))
(- 0 (/ c (* b b)))
(/ c (* b b))
(* b b)
(/ (/ 1 a) (/ (- (/ c b) (/ b a)) c))
(/ 1 a)
(/ (- (/ c b) (/ b a)) c)
(- (/ c b) (/ b a))
(/ (- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b) (* a 2))
(- (sqrt (/ 1 (/ 1 (* -4 (* c a))))) b)
(sqrt (/ 1 (/ 1 (* -4 (* c a)))))
(/ 1 (/ 1 (* -4 (* c a))))
(- 0 b)
(/ 1 (* -4 (* c a)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)
(pow.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)) #s(literal -1 binary64)))
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a)))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)
(*.f64 (/.f64 a (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(*.f64 (/.f64 a (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
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(/.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) #s(literal -2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) #s(literal -1/2 binary64))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(*.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 a (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 a (pow.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 a (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(*.f64 c (*.f64 #s(literal -4 binary64) a))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 a c) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 a c) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (*.f64 a c) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))
(*.f64 (*.f64 c #s(literal -4 binary64)) a)
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 a c) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a c))))
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 c #s(literal -4 binary64)))
(*.f64 (*.f64 a #s(literal -4 binary64)) c)
(*.f64 (*.f64 #s(literal -4 binary64) a) c)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) a)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)) a)
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)) a)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal 1 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal -1 binary64)) a)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 (sqrt.f64 a) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 a a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 a))
(*.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a c)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 (*.f64 a a)) (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (*.f64 a a)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal -4 binary64))) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 a))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 b b) b))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 b b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b (*.f64 b b))))
(pow.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) b)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(exp.f64 (log.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a c) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a c)) #s(literal -1 binary64))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a c)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) a)
(/.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 a c)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -4 binary64))
(/.f64 (/.f64 #s(literal -1/4 binary64) a) c)
(/.f64 (/.f64 #s(literal -1/4 binary64) c) a)
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 a c) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a c)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a c)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (*.f64 #s(literal -4 binary64) a) #s(literal -1 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a c)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 (*.f64 a c) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal 1 binary64)) #s(literal -1/4 binary64))

simplify416.0ms (3.3%)

Algorithm
egg-herbie
Rules
5988×*-lowering-*.f32
5988×*-lowering-*.f64
4984×+-lowering-+.f64
4984×+-lowering-+.f32
1434×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09836905
135166431
083996431
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -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 (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -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)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (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)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
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(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 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)))))
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(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
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(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(* (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)))
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(* -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)))))))
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(* (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))))))
(* (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))))))))
(/ 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 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (- (* -1 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))))
(+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (/ (* a (pow c 4)) (pow b 7))) (/ (pow c 3) (pow b 5)))) (/ (pow c 2) (pow b 3)))))
(/ b a)
(/ (+ b (/ (pow b 3) (* a c))) a)
(/ (- (+ b (/ (pow b 5) (* (pow a 2) (pow c 2)))) (* -1 (/ (pow b 3) (* a c)))) a)
(/ (- (+ b (/ (pow b 7) (* (pow a 3) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* a c))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 2)))))) a)
(/ b a)
(* -1 (/ (+ (* -1 b) (* -1 (/ (pow b 3) (* a c)))) a))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) c) (/ (pow b 5) (* a (pow c 2)))) a))) a))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 5) (pow c 2))) (* -1 (/ (pow b 7) (* a (pow c 3))))) a)) (/ (pow b 3) c)) a))) a))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b 7))) (/ (pow a 2) (pow b 5)))) (/ a (pow b 3)))) (/ 1 b)))
(/ b a)
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))
(- (+ (/ b a) (/ (pow b 5) (* (pow a 3) (pow c 2)))) (* -1 (/ (pow b 3) (* (pow a 2) c))))
(- (+ (/ b a) (/ (pow b 7) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (pow b 3) (* (pow a 2) c))) (* -1 (/ (pow b 5) (* (pow a 3) (pow c 2))))))
(/ b a)
(+ (/ b a) (/ (pow b 3) (* (pow a 2) c)))
(+ (* -1 (/ (- (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)) (/ b a))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow b 7) (* (pow a 4) c)) (* -1 (/ (pow b 5) (pow a 3)))) c)) (/ (pow b 3) (pow a 2))) c)) (/ b a))
(/ b a)
(* b (+ (/ 1 a) (/ (pow b 2) (* (pow a 2) c))))
(* b (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) c)) (/ (pow b 2) (* (pow a 3) (pow c 2))))) (/ 1 a)))
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 3) (pow c 2))) (/ (pow b 2) (* (pow a 4) (pow c 3))))) (/ 1 (* (pow a 2) c)))) (/ 1 a)))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (/ (* a (pow c 2)) (pow b 2))) b)
(/ (- (+ (* -1 c) (* -1 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (/ (* a (pow c 2)) (pow b 2)) (/ (* (pow a 2) (pow c 3)) (pow b 4)))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (- (+ c (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (- (+ c (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ 1 b)
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(/ 1 b)
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(/ 1 b)
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) b)
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) b)
(/ (+ 1 (* -1 (/ (pow b 2) (* a c)))) b)
(* -1 (/ b (* a c)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* -1 (/ b (* a c)))
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ 1 b)
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(/ 1 b)
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(+ (* -1 (/ b (* a c))) (/ 1 b))
(* -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))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1/2 (/ b a))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 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)) 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))
(+ (* -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))
(* (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)))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
Outputs
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (/.f64 (*.f64 a (*.f64 c c)) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.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))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.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 -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a)) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) b)
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (*.f64 b a)))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
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(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
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(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ -1/4 (* a c))
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eval230.0ms (1.8%)

Compiler

Compiled 28232 to 4249 computations (84.9% saved)

prune240.0ms (1.9%)

Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New1285211306
Fresh71724
Picked325
Done011
Total1295411336
Accuracy
99.8%
Counts
1336 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
13.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) a) b))) c))
4.8%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) c))
29.9%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
26.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
33.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
29.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
2.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
28.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
13.0%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))))) b) (*.f64 a #s(literal 2 binary64)))
20.4%
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64)))
20.4%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64)))
19.4%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b) (*.f64 a #s(literal 2 binary64)))
10.4%
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
27.1%
(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)))))
27.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
22.2%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
33.4%
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64)))
33.1%
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) b) (*.f64 a #s(literal 2 binary64)))
10.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
20.9%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
32.1%
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64))))
34.1%
(/.f64 c (-.f64 #s(literal 0 binary64) b))
10.5%
(/.f64 c b)
12.9%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
34.3%
(/.f64 b (neg.f64 a))
2.5%
(/.f64 b a)
29.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
33.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
50.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
31.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
30.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
34.3%
(-.f64 (/.f64 c b) (/.f64 b a))
28.6%
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
29.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a)) c)
33.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b))
34.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
4.5%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
10.4%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (neg.f64 b))
10.6%
#s(literal 0 binary64)
Compiler

Compiled 1372 to 890 computations (35.1% saved)

simplify175.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64))
cost-diff0
(-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b)
cost-diff0
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a)
cost-diff0
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))
cost-diff256
(/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))
cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))))
cost-diff896
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
cost-diff0
(*.f64 a b)
cost-diff128
(*.f64 #s(literal 0 binary64) a)
cost-diff128
(-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b))
cost-diff384
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
cost-diff0
(/.f64 b a)
cost-diff0
(/.f64 b a)
cost-diff0
(/.f64 c b)
cost-diff0
(-.f64 (/.f64 c b) (/.f64 b a))
Rules
2252×fnmadd-define
2020×fma-lowering-fma.f32
2020×fma-lowering-fma.f64
1822×fma-define
1226×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029129
175127
2167123
3568118
42261118
55290118
08069118
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (/ c b) (/ b a))
(/ c b)
c
b
(/ b a)
a
(/ b a)
b
a
(/ (- (* 0 a) (* a b)) (* a a))
(- (* 0 a) (* a b))
(* 0 a)
0
a
(* a b)
b
(* a a)
(* (- 0 (/ c (* b b))) (/ 1 (/ b (- 0 (* b b)))))
(- 0 (/ c (* b b)))
0
(/ c (* b b))
c
(* b b)
b
(/ 1 (/ b (- 0 (* b b))))
1
(/ b (- 0 (* b b)))
(- 0 (* b b))
(/ (/ (- (pow (/ -1/4 (* a c)) -1/2) b) a) 2)
(/ (- (pow (/ -1/4 (* a c)) -1/2) b) a)
(- (pow (/ -1/4 (* a c)) -1/2) b)
(pow (/ -1/4 (* a c)) -1/2)
(/ -1/4 (* a c))
-1/4
(* a c)
a
c
-1/2
b
2
Outputs
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
c
b
(/ b a)
(/.f64 b a)
a
(/ b a)
(/.f64 b a)
b
a
(/ (- (* 0 a) (* a b)) (* a a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(- (* 0 a) (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* 0 a)
#s(literal 0 binary64)
0
#s(literal 0 binary64)
a
(* a b)
(*.f64 b a)
b
(* a a)
(*.f64 a a)
(* (- 0 (/ c (* b b))) (/ 1 (/ b (- 0 (* b b)))))
(/.f64 c b)
(- 0 (/ c (* b b)))
(/.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) b))
0
#s(literal 0 binary64)
(/ c (* b b))
(/.f64 (/.f64 c b) b)
c
(* b b)
(*.f64 b b)
b
(/ 1 (/ b (- 0 (* b b))))
(-.f64 #s(literal 0 binary64) b)
1
#s(literal 1 binary64)
(/ b (- 0 (* b b)))
(/.f64 #s(literal -1 binary64) b)
(- 0 (* b b))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(/ (/ (- (pow (/ -1/4 (* a c)) -1/2) b) a) 2)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) (*.f64 a #s(literal 2 binary64)))
(/ (- (pow (/ -1/4 (* a c)) -1/2) b) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a)
(- (pow (/ -1/4 (* a c)) -1/2) b)
(-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b)
(pow (/ -1/4 (* a c)) -1/2)
(pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
-1/4
#s(literal -1/4 binary64)
(* a c)
(*.f64 a c)
a
c
-1/2
#s(literal -1/2 binary64)
b
2
#s(literal 2 binary64)

localize539.0ms (4.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b)
accuracy99.9%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a)
accuracy99.6%
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
accuracy84.7%
(pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))))
accuracy91.8%
(/.f64 c (*.f64 b b))
accuracy85.6%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
accuracy70.4%
(/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))
accuracy100.0%
(*.f64 a b)
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 #s(literal 0 binary64) a)
accuracy74.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(/.f64 c b)
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(-.f64 (/.f64 c b) (/.f64 b a))
Results
469.0ms178×0valid
25.0ms78×0invalid
Compiler

Compiled 166 to 30 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 418.0ms
ival-div: 395.0ms (94.5% of total)
ival-mult: 10.0ms (2.4% of total)
ival-sub: 6.0ms (1.4% of total)
ival-pow: 6.0ms (1.4% of total)
const: 1.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts
18 → 432
Calls
Call 1
Inputs
#<alt (- (/ c b) (/ b a))>
#<alt (/ c b)>
#<alt (/ b a)>
#<alt (/ (- (* 0 a) (* a b)) (* a a))>
#<alt (- (* 0 a) (* a b))>
#<alt (* 0 a)>
#<alt (* a b)>
#<alt (* (- 0 (/ c (* b b))) (/ 1 (/ b (- 0 (* b b)))))>
#<alt (/ 1 (/ b (- 0 (* b b))))>
#<alt (/ b (- 0 (* b b)))>
#<alt (- 0 (/ c (* b b)))>
#<alt (/ (/ (- (pow (/ -1/4 (* a c)) -1/2) b) a) 2)>
#<alt (/ (- (pow (/ -1/4 (* a c)) -1/2) b) a)>
#<alt (- (pow (/ -1/4 (* a c)) -1/2) b)>
#<alt (pow (/ -1/4 (* a c)) -1/2)>
#<alt (* a a)>
#<alt (/ c (* b b))>
#<alt (/ -1/4 (* a c))>
Outputs
#<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 (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ 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 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<alt (* -1 (* a b))>
#<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 b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a 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)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (/ -1 b)>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* -1 (/ c (pow b 2)))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<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))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))>
#<alt (* -2 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -4))>
#<alt (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))>
#<alt (* b (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))>
#<alt (* b (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 b)>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
#<alt (/ -1/4 (* a c))>
Calls

108 calls:

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

rewrite361.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
4656×*-lowering-*.f32
4656×*-lowering-*.f64
3262×/-lowering-/.f32
3262×/-lowering-/.f64
2530×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029108
1214103
2189496
0874296
Stop Event
iter limit
node limit
Counts
18 → 619
Calls
Call 1
Inputs
(- (/ c b) (/ b a))
(/ c b)
(/ b a)
(/ (- (* 0 a) (* a b)) (* a a))
(- (* 0 a) (* a b))
(* 0 a)
(* a b)
(* (- 0 (/ c (* b b))) (/ 1 (/ b (- 0 (* b b)))))
(/ 1 (/ b (- 0 (* b b))))
(/ b (- 0 (* b b)))
(- 0 (/ c (* b b)))
(/ (/ (- (pow (/ -1/4 (* a c)) -1/2) b) a) 2)
(/ (- (pow (/ -1/4 (* a c)) -1/2) b) a)
(- (pow (/ -1/4 (* a c)) -1/2) b)
(pow (/ -1/4 (* a c)) -1/2)
(* a a)
(/ c (* b b))
(/ -1/4 (* a c))
Outputs
(+.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (/.f64 b a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) a) (/.f64 b a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 c b))
(+.f64 (fma.f64 c (/.f64 #s(literal 1 binary64) b) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))
(+.f64 (fma.f64 c (/.f64 #s(literal 1 binary64) b) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 c b) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 c b) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (neg.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) c (neg.f64 (*.f64 (/.f64 b a) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) c (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a)))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a))))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a))))))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 (/.f64 b a) b) 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)))
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 c b))
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) a) (/.f64 c b))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b))
(fma.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (/.f64 b a)))
(fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(fma.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a))))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (/.f64 b a)))
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(fma.f64 (-.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (/.f64 (*.f64 (/.f64 b a) b) a)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c b) (/.f64 b a))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (/.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (-.f64 (*.f64 c a) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (/.f64 (*.f64 (/.f64 b a) b) a))))
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))))
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) (*.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 b a))))))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 c b) c) b) (/.f64 (*.f64 (/.f64 b a) b) a)) (+.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a))
(/.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)))
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(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -3/2 binary64)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))))
(*.f64 (pow.f64 (/.f64 a (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))
(+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b)
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -3/2 binary64)) (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 b b) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) b))
(fma.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))))) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -3/2 binary64)) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (-.f64 (*.f64 b b) (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b)) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b)) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b))) (neg.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))))) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -3/2 binary64)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))) (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #s(literal -1/4 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #s(literal -1/4 binary64))))
(pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))
(*.f64 (pow.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 c a) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c a))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 c a) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(+.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))
(+.f64 (/.f64 c (*.f64 b b)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64)))
(fma.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))))
(/.f64 c (*.f64 b b))
(/.f64 (/.f64 c b) b)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c))) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 c b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) c)) (*.f64 b b))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b)))) (/.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 b b) c)))
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b c) b) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 c b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c b))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))
(exp.f64 (log.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 c (/.f64 #s(literal -1/4 binary64) a)))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c a)))
(/.f64 (/.f64 #s(literal -1/4 binary64) a) c)
(/.f64 (neg.f64 (/.f64 #s(literal -1/4 binary64) a)) (-.f64 #s(literal 0 binary64) c))
(/.f64 (/.f64 #s(literal -1/4 binary64) c) a)
(/.f64 (exp.f64 (log.f64 #s(literal -1/4 binary64))) (exp.f64 (log.f64 (*.f64 c a))))
(/.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1/4 binary64) a))) (exp.f64 (log.f64 c)))
(pow.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 c (/.f64 #s(literal -1/4 binary64) a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c a))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 c #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) a) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1/4 binary64) a))
(*.f64 (exp.f64 (log.f64 #s(literal -1/4 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))

simplify244.0ms (1.9%)

Algorithm
egg-herbie
Rules
4410×*-lowering-*.f32
4410×*-lowering-*.f64
1550×times-frac
1478×fnmadd-define
1332×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01282650
14102569
213442551
338922467
088662467
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* -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)
(/ 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)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
(* -1 (* a b))
0
0
0
0
0
0
0
0
0
0
0
0
(* 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)
(/ 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)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* -1 (/ c (pow b 2)))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1/2 (/ b a))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)
(/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)
(/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)
(/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)
(* (sqrt (/ c a)) (sqrt -4))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))
(/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)
(/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)
(/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)
(/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)
(* (sqrt (/ c a)) (sqrt -4))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))
(* (sqrt (/ c a)) (sqrt -4))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))
(* -1 (/ b a))
(* b (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))
(* b (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))
(* b (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 a))))
(* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 a))))
(* -1 (* b (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 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))
(* 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))
(* (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)))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
(/ -1/4 (* a c))
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ c b) (/ b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
(* -1 (* a b))
(-.f64 #s(literal 0 binary64) (*.f64 b a))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
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(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64)))) b)
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64)))) b)
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64)))) b)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (sqrt.f64 (/.f64 a c)))) b)
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (sqrt.f64 (/.f64 a c)))) b)
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (sqrt.f64 (/.f64 a c)))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1 binary64))) b)
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1 binary64))) b)
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1 binary64))) b)
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1 binary64))) b)
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1 binary64))) b)
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1 binary64))) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ c (pow b 2))
(/.f64 (/.f64 c b) b)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))

eval170.0ms (1.4%)

Compiler

Compiled 17462 to 2003 computations (88.5% saved)

prune140.0ms (1.1%)

Pruning

48 alts after pruning (43 fresh and 5 done)

PrunedKeptTotal
New1076151091
Fresh52833
Picked325
Done033
Total1084481132
Accuracy
99.8%
Counts
1132 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) a) c) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
27.1%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b)) (*.f64 a (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
15.3%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b a)) (*.f64 a a))
10.4%
(/.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
10.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)))) (*.f64 a a))
13.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) a) b))) c))
4.8%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) c))
29.9%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
26.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
33.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
29.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
34.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
28.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
13.0%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))))) b) (*.f64 a #s(literal 2 binary64)))
20.4%
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64)))
20.4%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64)))
19.4%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b) (*.f64 a #s(literal 2 binary64)))
10.4%
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
27.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
6.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a)))
33.1%
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) b) (*.f64 a #s(literal 2 binary64)))
10.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
20.9%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
32.1%
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64))))
9.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b a) b) a)))
22.2%
(/.f64 (neg.f64 (*.f64 b a)) (*.f64 a a))
34.1%
(/.f64 c (-.f64 #s(literal 0 binary64) b))
10.5%
(/.f64 c b)
12.9%
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
34.3%
(/.f64 b (neg.f64 a))
2.5%
(/.f64 b a)
10.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))))
29.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
33.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
50.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
30.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
34.3%
(-.f64 (/.f64 c b) (/.f64 b a))
28.6%
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
5.6%
(*.f64 (/.f64 (neg.f64 (/.f64 c b)) b) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
29.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a)) c)
22.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
33.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b))
34.2%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
2.9%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))))
10.6%
#s(literal 0 binary64)
Compiler

Compiled 2012 to 825 computations (59% saved)

regimes118.0ms (0.9%)

Counts
78 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 b a)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (neg.f64 b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a)) c)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 (neg.f64 (/.f64 c b)) b) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b a)) (*.f64 a a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b a) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)))) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) a) b))) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) c))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) a) c) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) b) (*.f64 a #s(literal 2 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 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) #s(literal -1/4 binary64)) (*.f64 b b)) (*.f64 a (+.f64 b (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) a) (*.f64 a (/.f64 (*.f64 a #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 a))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1/2 binary64))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/2 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
Calls

4 calls:

40.0ms
c
23.0ms
b
23.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
23.0ms
a
Results
AccuracySegmentsBranch
57.8%4a
84.2%3b
52.3%2c
76.0%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes50.0ms (0.4%)

Counts
60 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 b a)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (neg.f64 b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a)) c)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 (neg.f64 (/.f64 c b)) b) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b a)) (*.f64 a a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b a) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)))) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) a) b))) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) c))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) a) c) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
Calls

1 calls:

44.0ms
b
Results
AccuracySegmentsBranch
84.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Counts
59 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 b a)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (neg.f64 b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a)) c)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 (neg.f64 (/.f64 c b)) b) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b a)) (*.f64 a a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b a) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)))) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) a) b))) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) c))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) a) c) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
Calls

1 calls:

34.0ms
b
Results
AccuracySegmentsBranch
84.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes25.0ms (0.2%)

Counts
58 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 b a)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (neg.f64 b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a)) c)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 (neg.f64 (/.f64 c b)) b) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b a)) (*.f64 a a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b a) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)))) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) a) b))) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) c))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) a) c) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b)))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) a) c) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
Calls

1 calls:

19.0ms
b
Results
AccuracySegmentsBranch
79.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts
55 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 b a)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (neg.f64 b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a)) c)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 (neg.f64 (/.f64 c b)) b) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b a)) (*.f64 a a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b a) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)))) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) a) b))) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) c))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a)) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a c)) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
78.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Counts
51 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 b a)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (neg.f64 b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a)) c)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) a))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) a) (*.f64 a (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
(*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 c b))) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b)))))
(*.f64 (/.f64 (neg.f64 (/.f64 c b)) b) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 b a)) (*.f64 a a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b a) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b a) b) a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)))) (*.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b (*.f64 (-.f64 #s(literal 0 binary64) a) b))) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) c))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64)))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
66.0%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
Outputs
(/.f64 b (neg.f64 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
65.8%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

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

3 calls:

5.0ms
b
3.0ms
a
3.0ms
c
Results
AccuracySegmentsBranch
34.3%1c
34.3%1a
42.1%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -5.8b remaining (-10.1%)

Threshold costs -5.8b (-10.1%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
Outputs
#s(literal 0 binary64)
Calls

3 calls:

3.0ms
c
2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
10.6%1c
10.6%1a
10.6%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch60.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
1.3804857349952484e-42
2.822377969627048e-35
16.0ms
-1.8029042109758336e+54
-9.116387772784973e+51
Results
20.0ms194×0valid
10.0ms27×2valid
7.0ms35×1valid
3.0ms32×0invalid
Compiler

Compiled 504 to 355 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (44.5% of total)
ival-sqrt: 3.0ms (11.1% of total)
ival-div: 3.0ms (11.1% of total)
ival-neg: 3.0ms (11.1% of total)
ival-sub: 2.0ms (7.4% of total)
ival-add: 2.0ms (7.4% of total)
backward-pass: 1.0ms (3.7% of total)
const: 1.0ms (3.7% of total)

bsearch57.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
1.3804857349952484e-42
2.822377969627048e-35
17.0ms
-1.8029042109758336e+54
-9.116387772784973e+51
Results
19.0ms184×0valid
10.0ms35×2valid
8.0ms37×1valid
3.0ms38×0invalid
Compiler

Compiled 504 to 355 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 11.0ms (39.4% of total)
ival-div: 4.0ms (14.3% of total)
ival-neg: 4.0ms (14.3% of total)
ival-sqrt: 3.0ms (10.7% of total)
backward-pass: 2.0ms (7.2% of total)
ival-sub: 2.0ms (7.2% of total)
ival-add: 2.0ms (7.2% of total)
const: 1.0ms (3.6% of total)

bsearch62.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
1.3804857349952484e-42
2.822377969627048e-35
21.0ms
-1.8029042109758336e+54
-9.116387772784973e+51
Results
19.0ms197×0valid
8.0ms34×1valid
7.0ms25×2valid
2.0ms25×0invalid
Compiler

Compiled 504 to 355 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 10.0ms (40.4% of total)
ival-div: 3.0ms (12.1% of total)
ival-sqrt: 3.0ms (12.1% of total)
ival-neg: 3.0ms (12.1% of total)
ival-sub: 2.0ms (8.1% of total)
ival-add: 2.0ms (8.1% of total)
const: 1.0ms (4% of total)
backward-pass: 1.0ms (4% of total)

bsearch87.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
56.0ms
1.3804857349952484e-42
2.822377969627048e-35
24.0ms
-1.0440715622709191e-20
-8.922310007576566e-29
Results
32.0ms33×2valid
24.0ms212×0valid
8.0ms43×1valid
4.0ms47×0invalid
Compiler

Compiled 512 to 379 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-neg: 25.0ms (46% of total)
ival-mult: 16.0ms (29.5% of total)
ival-sqrt: 4.0ms (7.4% of total)
ival-div: 3.0ms (5.5% of total)
backward-pass: 2.0ms (3.7% of total)
ival-sub: 2.0ms (3.7% of total)
ival-add: 2.0ms (3.7% of total)
const: 1.0ms (1.8% of total)

bsearch74.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
1.3804857349952484e-42
2.822377969627048e-35
31.0ms
-1.0440715622709191e-20
-8.922310007576566e-29
Results
29.0ms220×0valid
9.0ms31×2valid
7.0ms37×1valid
6.0ms49×0invalid
Compiler

Compiled 494 to 361 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (42.8% of total)
ival-sqrt: 3.0ms (10.7% of total)
ival-div: 3.0ms (10.7% of total)
backward-pass: 2.0ms (7.1% of total)
ival-sub: 2.0ms (7.1% of total)
ival-neg: 2.0ms (7.1% of total)
ival-add: 2.0ms (7.1% of total)
const: 1.0ms (3.6% of total)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
-6.5663202881249e-299
6.837989648067834e-304
Results
17.0ms160×0valid
10.0ms94×0invalid
Compiler

Compiled 226 to 159 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (51.6% of total)
ival-div: 2.0ms (11.5% of total)
ival-sqrt: 2.0ms (11.5% of total)
ival-neg: 2.0ms (11.5% of total)
ival-sub: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch75.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
72.0ms
-6.5663202881249e-299
6.837989648067834e-304
Results
56.0ms160×0valid
9.0ms94×0invalid
Compiler

Compiled 196 to 149 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (41.7% of total)
ival-div: 2.0ms (11.9% of total)
ival-sqrt: 2.0ms (11.9% of total)
ival-neg: 2.0ms (11.9% of total)
ival-sub: 1.0ms (6% of total)
ival-add: 1.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
50.0ms
6.837989648067834e-304
1.013811126624999e-290
Results
38.0ms160×0valid
5.0ms56×0invalid
Compiler

Compiled 156 to 129 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46% of total)
ival-div: 2.0ms (15.3% of total)
ival-sqrt: 2.0ms (15.3% of total)
ival-sub: 1.0ms (7.7% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
22×*-commutative_binary64
20×+-commutative_binary64
18×sub-neg_binary64
10×neg-mul-1_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071205
191205
2107205
3115205
4119205
5120205
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 124132138810137/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4750736176684255/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 344811496694825/95780971304118053647396689196894323976171195136475136 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -6132704929595921/1393796574908163946345982392040522594123776 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 2746232009231673/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) a) c) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -2508833834834695/2787593149816327892691964784081045188247552 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 8160232256002685/1569275433846670190958947355801916604025588861116008628224 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 4262010338807505/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 124132138810137/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4750736176684255/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 344811496694825/95780971304118053647396689196894323976171195136475136 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1800000000000000072868299344085546223474727053441368064 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 344811496694825/95780971304118053647396689196894323976171195136475136 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -6132704929595921/1393796574908163946345982392040522594123776 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 2746232009231673/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) a) c) #s(literal -1/2 binary64)) b) a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -2508833834834695/2787593149816327892691964784081045188247552 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 8160232256002685/1569275433846670190958947355801916604025588861116008628224 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 4262010338807505/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
(if (<=.f64 b #s(literal 4262010338807505/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.3s (18.3%)

Rules
7062×*-lowering-*.f32
7062×*-lowering-*.f64
5864×*-lowering-*.f32
5864×*-lowering-*.f64
5798×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029108
1214103
2189496
0874296
01343
16339
253939
3759039
0808839
05433071
118862859
271322847
080012847
01416
13415
27314
317214
429614
552814
6104614
7224214
8518214
9775714
0817314
034135
1233130
22205130
010855130
08418350
129827752
083047752
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
node limit
Compiler

Compiled 650 to 394 computations (39.4% saved)

preprocess58.0ms (0.5%)

Compiler

Compiled 474 to 168 computations (64.6% saved)

end0.0ms (0%)

Profiling

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