The quadratic formula (r2)

Time bar (total: 12.1s)

analyze202.0ms (1.7%)

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: 121.0ms
ival-mult: 63.0ms (52.3% of total)
ival-sqrt: 21.0ms (17.4% of total)
ival-sub: 15.0ms (12.4% of total)
ival-neg: 11.0ms (9.1% of total)
ival-div: 8.0ms (6.6% of total)
const: 2.0ms (1.7% of total)
backward-pass: 1.0ms (0.8% of total)

sample1.8s (15.2%)

Results
586.0ms1942×2valid
562.0ms5532×0valid
171.0ms782×1valid
99.0ms906×0invalid
Precisions
Click to see histograms. Total time spent on operations: 977.0ms
ival-mult: 387.0ms (39.6% of total)
ival-sub: 146.0ms (15% of total)
ival-sqrt: 124.0ms (12.7% of total)
ival-neg: 122.0ms (12.5% of total)
ival-div: 113.0ms (11.6% of total)
backward-pass: 65.0ms (6.7% of total)
const: 20.0ms (2% of total)
Bogosity

preprocess243.0ms (2%)

Algorithm
egg-herbie
Rules
2518×fnmadd-define
1718×fmsub-define
1692×fnmsub-define
1418×fmm-def
1228×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060165
1215158
2663154
32342150
46971150
01416
13816
210016
326915
449315
5100215
6315415
7580715
8644115
9737115
10753615
11757615
12758215
0758215
Stop Event
iter limit
saturated
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 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a)
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))
(/ (+ b (sqrt (fma a (* c -4) (* b b)))) (* a -2))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a 2))
(/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (- b (sqrt (fma a (* c -4) (* b b)))) (* a 2))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a -2))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a -2))
(neg (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(/ (- b (sqrt (fma a (* c -4) (* b b)))) (* a -2))
(neg (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (+ b (sqrt (fma 4 (* a c) (* b b)))) (* a 2))
(/ (- (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (+ a (sqrt (fmsub a a (* b (* 4 c))))) (* b -2))
(/ (- (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (+ b (sqrt (fma a (* c -4) (* b b)))) (* c -2))
(/ (- (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
(/ (+ c (sqrt (fmsub c c (* b (* 4 a))))) (* a -2))

explain191.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
970-1(3.1204693988934642e-211 -1.3911748797023757e-161 6.532949878543296e-158)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))
581(1.9406272212764964e-72 -2.6065118431724264e+58 -2.673262893929611e-194)0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
80-1(1.9406272212764964e-72 -2.6065118431724264e+58 -2.673262893929611e-194)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
50-0-(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))
00-0-b
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-(*.f64 a c)
01(-3.883557828699035e-219 3.970271077005316e+287 2.72750810175089e-106)0-(*.f64 #s(literal 4 binary64) (*.f64 a c))
00-0-a
Results
77.0ms104×2valid
48.0ms364×0valid
12.0ms44×1valid
Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 24.0ms (34.9% of total)
ival-sub: 21.0ms (30.5% of total)
ival-sqrt: 7.0ms (10.2% of total)
ival-div: 6.0ms (8.7% of total)
backward-pass: 6.0ms (8.7% of total)
ival-neg: 5.0ms (7.3% of total)
const: 1.0ms (1.5% 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
57.8%
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a)
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64))
cost-diff0
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a)
Rules
30×*-lowering-*.f32
30×*-lowering-*.f64
14×fma-lowering-fma.f32
14×fma-define
14×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01372
12272
23572
34172
04172
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2)
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
-2
Outputs
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a)
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2)
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(+ (* b b) (* c (* a -4)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* c (* a -4))
(*.f64 c (*.f64 a #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
-2
#s(literal -2 binary64)

localize74.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
accuracy97.1%
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a)
accuracy78.5%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
accuracy64.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
Results
28.0ms52×2valid
25.0ms182×0valid
5.0ms22×1valid
Compiler

Compiled 81 to 14 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 12.0ms (37.1% of total)
ival-mult: 8.0ms (24.7% of total)
ival-div: 5.0ms (15.5% of total)
ival-sqrt: 3.0ms (9.3% of total)
backward-pass: 3.0ms (9.3% of total)
const: 1.0ms (3.1% of total)

series25.0ms (0.2%)

Counts
5 → 180
Calls
Call 1
Inputs
#<alt (/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a)>
#<alt (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2)>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (+ (* b b) (* c (* a -4)))>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))>
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))>
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2)))>
#<alt (* -1 b)>
#<alt (* b (- (/ (* a c) (pow b 2)) 1))>
#<alt (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1))>
#<alt (* -1 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (/ (* a c) b))>
#<alt (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))>
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c)))))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (/ (* a c) b))>
#<alt (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))>
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))>
#<alt (* 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)))))))>
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))>
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))>
#<alt (* -1 (* 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)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
Calls

45 calls:

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

rewrite326.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
4062×*-lowering-*.f32
4062×*-lowering-*.f64
2558×/-lowering-/.f32
2558×/-lowering-/.f64
2020×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
16656
254056
3654456
0805756
Stop Event
iter limit
node limit
Counts
5 → 403
Calls
Call 1
Inputs
(/ (/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2) a)
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) -2)
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))) (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal 2 binary64))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (neg.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal -2 binary64)) a)
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64))) (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 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 c a)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (*.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))))
(*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))) (*.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))))
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))))
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(*.f64 (-.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))) (-.f64 (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.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 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #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 c a)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (*.f64 a #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b))))))
(*.f64 (/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 c (*.f64 #s(literal 16 binary64) (*.f64 c a))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))

simplify366.0ms (3%)

Algorithm
egg-herbie
Rules
6468×*-lowering-*.f32
6468×*-lowering-*.f64
3498×+-lowering-+.f64
3498×+-lowering-+.f32
1822×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06103728
121153618
275573606
082113606
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2)))
(* -1 b)
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1))
(* -1 (/ (* a c) b))
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 b)
(+ (* -1 b) (/ (* a c) b))
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c)))))
(* -1 b)
(+ (* -1 b) (/ (* a c) b))
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))
(* 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)))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))
(* -1 (* 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)))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 #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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (+.f64 c (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) a)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (/.f64 b c) a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (/.f64 b c) a))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))))) (neg.f64 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 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (+.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) (*.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))))) (neg.f64 c))
(* -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 #s(literal 0 binary64) (*.f64 c (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (+.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) (*.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (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 (* 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 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))))
(* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.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 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) (neg.f64 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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 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 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))))) (neg.f64 a))
(* -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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) (*.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))
(* 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 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 c (*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) #s(literal -1 binary64)))
(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 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 a (*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) #s(literal -1 binary64)))

eval118.0ms (1%)

Compiler

Compiled 21695 to 2253 computations (89.6% saved)

prune92.0ms (0.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New56419583
Fresh000
Picked101
Done000
Total56519584
Accuracy
93.0%
Counts
584 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
25.3%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a)
57.3%
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
10.3%
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a)
36.4%
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a)
30.0%
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a)
43.1%
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a)
57.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
21.9%
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))))
28.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
41.7%
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a)
43.1%
(/.f64 b (neg.f64 a))
57.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
57.7%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a))
43.2%
(-.f64 (/.f64 c b) (/.f64 b a))
40.2%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
31.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
57.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
42.6%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
Compiler

Compiled 808 to 456 computations (43.6% saved)

simplify476.0ms (3.9%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
cost-diff0
(*.f64 a #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
cost-diff384
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))
cost-diff640
(+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))))
cost-diff640
(/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64))
cost-diff640
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a)
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 c (*.f64 b b))
cost-diff0
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
cost-diff256
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
cost-diff-64
(neg.f64 a)
cost-diff-64
(/.f64 b (neg.f64 a))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
Rules
2236×*-lowering-*.f32
2236×*-lowering-*.f64
1678×fma-define
1670×sum4-define
1320×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036294
193286
2248283
3701257
42742256
57911256
08635256
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (+ (* b b) (* -4 (* c a)))))
b
(sqrt (+ (* b b) (* -4 (* c a))))
(+ (* b b) (* -4 (* c a)))
(* b b)
(* -4 (* c a))
-4
(* c a)
c
(/ b (neg a))
b
(neg a)
a
(* b (+ (/ c (* b b)) (/ -1 a)))
b
(+ (/ c (* b b)) (/ -1 a))
(/ c (* b b))
c
(* b b)
(/ -1 a)
-1
a
(/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a)
(/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2)
(+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b))))
b
(* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))
(- 0 b)
0
(+ 1 (/ (* (* a (/ c b)) -2) b))
1
(/ (* (* a (/ c b)) -2) b)
(* (* a (/ c b)) -2)
(* a (/ c b))
a
(/ c b)
c
-2
(/ 1 (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))))
1
(/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))
(* a -2)
a
-2
(+ b (sqrt (+ (* b b) (* -4 (* c a)))))
b
(sqrt (+ (* b b) (* -4 (* c a))))
(+ (* b b) (* -4 (* c a)))
(* b b)
(* -4 (* c a))
-4
(* c a)
c
Outputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal -2 binary64)))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (+ (* b b) (* -4 (* c a)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
b
(sqrt (+ (* b b) (* -4 (* c a))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* -4 (* c a)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* -4 (* c a))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
-4
#s(literal -4 binary64)
(* c a)
(*.f64 a c)
c
(/ b (neg a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
b
(neg a)
(-.f64 #s(literal 0 binary64) a)
a
(* b (+ (/ c (* b b)) (/ -1 a)))
(-.f64 (/.f64 c b) (/.f64 b a))
b
(+ (/ c (* b b)) (/ -1 a))
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
(/ c (* b b))
(/.f64 c (*.f64 b b))
c
(* b b)
(*.f64 b b)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a)
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (*.f64 a #s(literal -2 binary64)))
(/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2)
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) #s(literal -2 binary64))
(+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b))))
(*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))
b
(* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))
(-.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(+ 1 (/ (* (* a (/ c b)) -2) b))
(+.f64 #s(literal 1 binary64) (*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b)))
1
#s(literal 1 binary64)
(/ (* (* a (/ c b)) -2) b)
(*.f64 a (/.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) b))
(* (* a (/ c b)) -2)
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))
(* a (/ c b))
(/.f64 (*.f64 a c) b)
a
(/ c b)
(/.f64 c b)
c
-2
#s(literal -2 binary64)
(/ 1 (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 a #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))
(/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(* a -2)
(*.f64 a #s(literal -2 binary64))
a
-2
#s(literal -2 binary64)
(+ b (sqrt (+ (* b b) (* -4 (* c a)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
b
(sqrt (+ (* b b) (* -4 (* c a))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* -4 (* c a)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* -4 (* c a))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
-4
#s(literal -4 binary64)
(* c a)
(*.f64 a c)
c

localize324.0ms (2.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
accuracy97.3%
(/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
accuracy78.5%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
accuracy64.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
accuracy94.4%
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))
accuracy92.6%
(*.f64 a (/.f64 c b))
accuracy83.0%
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a)
accuracy53.3%
(+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))))
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))
accuracy92.7%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
accuracy90.4%
(/.f64 c (*.f64 b b))
accuracy100.0%
(/.f64 b (neg.f64 a))
accuracy100.0%
(neg.f64 a)
accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
accuracy97.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
accuracy78.5%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
accuracy64.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
Results
107.0ms84×2valid
80.0ms78×0valid
71.0ms94×1valid
Compiler

Compiled 314 to 37 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-div: 61.0ms (43.9% of total)
ival-mult: 30.0ms (21.6% of total)
backward-pass: 18.0ms (13% of total)
ival-add: 14.0ms (10.1% of total)
ival-sub: 8.0ms (5.8% of total)
ival-sqrt: 4.0ms (2.9% of total)
const: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)

series55.0ms (0.5%)

Counts
19 → 564
Calls
Call 1
Inputs
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))>
#<alt (/ -1/2 a)>
#<alt (+ b (sqrt (+ (* b b) (* -4 (* c a)))))>
#<alt (sqrt (+ (* b b) (* -4 (* c a))))>
#<alt (/ b (neg a))>
#<alt (neg a)>
#<alt (* b (+ (/ c (* b b)) (/ -1 a)))>
#<alt (+ (/ c (* b b)) (/ -1 a))>
#<alt (/ c (* b b))>
#<alt (* b b)>
#<alt (/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a)>
#<alt (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2)>
#<alt (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b))))>
#<alt (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))>
#<alt (/ 1 (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))))>
#<alt (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))>
#<alt (* a -2)>
#<alt (+ (* b b) (* -4 (* c a)))>
#<alt (* a (/ c b))>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* (sqrt (/ a c)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -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)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))>
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -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)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (* -1 (/ a b))>
#<alt (/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b)>
#<alt (* -1 (/ b c))>
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -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))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))))>
#<alt (* -1 (/ a b))>
#<alt (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))>
#<alt (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))>
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -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))))) c)>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -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)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -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)))))) c)>
#<alt (* (sqrt (/ a c)) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c))>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
Calls

141 calls:

TimeVariablePointExpression
5.0ms
b
@0
(/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2)
3.0ms
c
@inf
(/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))
3.0ms
a
@0
(/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a)
2.0ms
b
@inf
(/ b (neg a))
2.0ms
b
@0
(/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a)

rewrite348.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
2812×/-lowering-/.f32
2812×/-lowering-/.f64
2462×*-lowering-*.f32
2462×*-lowering-*.f64
2252×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036186
1227174
22389171
08592171
Stop Event
iter limit
node limit
Counts
19 → 761
Calls
Call 1
Inputs
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))
(/ -1/2 a)
(+ b (sqrt (+ (* b b) (* -4 (* c a)))))
(sqrt (+ (* b b) (* -4 (* c a))))
(/ b (neg a))
(neg a)
(* b (+ (/ c (* b b)) (/ -1 a)))
(+ (/ c (* b b)) (/ -1 a))
(/ c (* b b))
(* b b)
(/ (/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2) a)
(/ (+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))) -2)
(+ b (* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b))))
(* (- 0 b) (+ 1 (/ (* (* a (/ c b)) -2) b)))
(/ 1 (/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a)))))))
(/ (* a -2) (+ b (sqrt (+ (* b b) (* -4 (* c a))))))
(* a -2)
(+ (* b b) (* -4 (* c a)))
(* a (/ c b))
Outputs
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))))
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 a (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) a))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 #s(literal 0 binary64) a)))
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(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #s(literal 1 binary64)))
(/.f64 a (/.f64 b c))
(/.f64 (*.f64 a c) b)
(/.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (/.f64 b c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a c)))
(/.f64 (neg.f64 (*.f64 a c)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) a) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 b c))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) a)) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 b c)))
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64))
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) a))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 c b) a)

simplify358.0ms (2.9%)

Algorithm
egg-herbie
Rules
8904×*-lowering-*.f32
8904×*-lowering-*.f64
4718×+-lowering-+.f64
4718×+-lowering-+.f32
1546×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08577307
129896898
092416898
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -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)
(/ 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))
(+ (* -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))))
(* -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 a)
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ c (pow b 2))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* c (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(/ c (pow b 2))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* c (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(/ c (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ (+ c (* -1 (/ (pow b 2) a))) (pow b 2))
(/ -1 a)
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ -1 a)
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ -1 a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/ (- (/ (* a c) (pow b 2)) 1) a)
(/ c (pow b 2))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(/ c (pow b 2))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 1 a))
(- (/ c (pow b 2)) (/ 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))
(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 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1/2 (/ (+ b (* -1 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(/ (+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b)))) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(* -1/2 (/ (+ b (* -1 b)) a))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a)))
(* -1 (/ c b))
(* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))
(* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))
(* c (- (* -1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b)))
(* -1 (/ c b))
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))
(* -1 (* c (+ (* 1/2 (/ (+ (* -1 (/ b a)) (/ b a)) c)) (/ 1 b))))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1 (/ (* a c) b))
(* -1/2 (+ b (* -1 b)))
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b))))
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b))))
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b))))
(* -1 (/ (* a c) b))
(* a (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))))
(* a (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))))
(* a (+ (* -1 (/ c b)) (* -1/2 (/ (+ b (* -1 b)) a))))
(* -1 (/ (* a c) b))
(* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) a)) (/ c b))))
(* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) a)) (/ c b))))
(* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) a)) (/ c b))))
(* -1/2 (+ b (* -1 b)))
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b))))
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b))))
(+ (* -1 (/ (* a c) b)) (* -1/2 (+ b (* -1 b))))
(* -1 (/ (* a c) b))
(* c (+ (* -1 (/ a b)) (* -1/2 (/ (+ b (* -1 b)) c))))
(* c (+ (* -1 (/ a b)) (* -1/2 (/ (+ b (* -1 b)) c))))
(* c (+ (* -1 (/ a b)) (* -1/2 (/ (+ b (* -1 b)) c))))
(* -1 (/ (* a c) b))
(* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b))))
(* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b))))
(* -1 (* c (+ (* 1/2 (/ (+ b (* -1 b)) c)) (/ a b))))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(+ b (* -1 b))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(* 2 (/ (* a c) b))
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))
(* a (+ (* -1 (/ b a)) (+ (* 2 (/ c b)) (/ b a))))
(* 2 (/ (* a c) b))
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))
(* -1 (* a (+ (* -2 (/ c b)) (* -1 (/ (+ b (* -1 b)) a)))))
(+ b (* -1 b))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(+ b (+ (* -1 b) (* 2 (/ (* a c) b))))
(* 2 (/ (* a c) b))
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))
(* c (+ (* -1 (/ b c)) (+ (* 2 (/ a b)) (/ b c))))
(* 2 (/ (* a c) b))
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))
(* -1 (* c (+ (* -2 (/ a b)) (* -1 (/ (+ b (* -1 b)) c)))))
(* 2 (/ (* a c) b))
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -1 (pow b 2)) (* 2 (* a c))) b)
(* -1 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* b (- (* 2 (/ (* a c) (pow b 2))) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 b) (* 2 (/ (* a c) b)))
(* 2 (/ (* a c) b))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* a (+ (* -1 (/ b a)) (* 2 (/ c b))))
(* 2 (/ (* a c) b))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 (* a (+ (* -2 (/ c b)) (/ b a))))
(* -1 b)
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 b) (* 2 (/ (* a c) b)))
(+ (* -1 b) (* 2 (/ (* a c) b)))
(* 2 (/ (* a c) b))
(* c (+ (* -1 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -1 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -1 (/ b c)) (* 2 (/ a b))))
(* 2 (/ (* a c) b))
(* -1 (* c (+ (* -2 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -2 (/ a b)) (/ b c))))
(* -1 (* c (+ (* -2 (/ a b)) (/ b c))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (/ a b))
(* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b)))
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b)))
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -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)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -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)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))
(* -1 (/ a b))
(/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b)
(* -1 (/ b c))
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -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))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))))
(* -1 (/ a b))
(+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))
(+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -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))))) c)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -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)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -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)))))) c)
(* (sqrt (/ a c)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
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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 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) #s(literal -1/2 binary64))) (*.f64 c c)))))) c)
(* (sqrt (/ a c)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))
(/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) (neg.f64 c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/16 binary64)))) c) (*.f64 b (*.f64 c #s(literal -1/2 binary64)))) c))) c)
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (-.f64 (*.f64 b (*.f64 c #s(literal -1/2 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/16 binary64))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 (*.f64 c c) a) #s(literal -1/32 binary64))))) c)) c)) c))) c)
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* 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 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)

eval209.0ms (1.7%)

Compiler

Compiled 39585 to 3562 computations (91% saved)

prune193.0ms (1.6%)

Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New1558281586
Fresh6814
Picked145
Done000
Total1565401605
Accuracy
93.0%
Counts
1605 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
18.4%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
25.3%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a)
10.3%
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a)
4.0%
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a)
2.5%
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a)
57.3%
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
16.1%
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a)
30.0%
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a)
57.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
42.1%
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
21.9%
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
25.1%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a)
30.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
18.2%
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b)))
41.7%
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a)
10.3%
(/.f64 c b)
43.1%
(/.f64 b (neg.f64 a))
42.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))))
57.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
29.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
30.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c)))
57.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a))
30.4%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))
10.4%
(/.f64 #s(literal 0 binary64) a)
43.2%
(-.f64 (/.f64 c b) (/.f64 b a))
40.2%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
31.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
57.7%
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
57.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
30.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
25.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
43.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
43.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
42.6%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
41.5%
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
43.0%
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a)))
42.5%
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a)))
20.8%
(*.f64 b (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))
21.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64)))
Compiler

Compiled 1465 to 868 computations (40.8% saved)

simplify173.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))
cost-diff0
(*.f64 a #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
cost-diff0
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))
cost-diff0
(*.f64 a #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))
cost-diff640
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))))
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (*.f64 a c) b)
cost-diff0
(-.f64 (/.f64 (*.f64 a c) b) b)
cost-diff128
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
cost-diff128
(/.f64 #s(literal 0 binary64) a)
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
cost-diff0
(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
cost-diff0
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a))
Rules
3308×*-lowering-*.f32
3308×*-lowering-*.f64
2216×/-lowering-/.f32
2216×/-lowering-/.f64
1844×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035232
177227
2156227
3379227
41010225
53109225
66934225
08232225
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a))
1
(* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a)
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
-2
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
b
(sqrt (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* b b)
(* a (* -4 c))
a
(* -4 c)
-4
c
(/ 0 a)
0
a
(/ (- (/ (* a c) b) b) a)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* a c)
a
c
b
(/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))))
1
(/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))
(* a -2)
a
-2
(+ (* b 2) (/ (* c (* a -2)) b))
(* b 2)
b
2
(/ (* c (* a -2)) b)
(* c (* a -2))
c
(/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4))))))
1
(/ (* a -2) (+ b (sqrt (* a (* c -4)))))
(* a -2)
a
-2
(+ b (sqrt (* a (* c -4))))
b
(sqrt (* a (* c -4)))
(* a (* c -4))
(* c -4)
c
-4
Outputs
(/ 1 (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (*.f64 #s(literal -2 binary64) a))
1
#s(literal 1 binary64)
(* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a)
(/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
-2
#s(literal -2 binary64)
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
b
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* a (* -4 c)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* a (* -4 c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
a
(* -4 c)
(*.f64 #s(literal -4 binary64) c)
-4
#s(literal -4 binary64)
c
(/ 0 a)
#s(literal 0 binary64)
0
#s(literal 0 binary64)
a
(/ (- (/ (* a c) b) b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(- (/ (* a c) b) b)
(-.f64 (/.f64 (*.f64 a c) b) b)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(* a c)
(*.f64 a c)
a
c
b
(/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))))
(-.f64 (/.f64 c b) (/.f64 b a))
1
#s(literal 1 binary64)
(/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))
(/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))))
(* a -2)
(*.f64 #s(literal -2 binary64) a)
a
-2
#s(literal -2 binary64)
(+ (* b 2) (/ (* c (* a -2)) b))
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64)))
(* b 2)
(*.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(/ (* c (* a -2)) b)
(/.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))
(* c (* a -2))
(*.f64 #s(literal -2 binary64) (*.f64 a c))
c
(/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4))))))
(/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (*.f64 #s(literal -2 binary64) a))
1
#s(literal 1 binary64)
(/ (* a -2) (+ b (sqrt (* a (* c -4)))))
(/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
(* a -2)
(*.f64 #s(literal -2 binary64) a)
a
-2
#s(literal -2 binary64)
(+ b (sqrt (* a (* c -4))))
(+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c))))
b
(sqrt (* a (* c -4)))
(sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* a (* c -4))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* c -4)
(*.f64 #s(literal -4 binary64) c)
c
-4
#s(literal -4 binary64)

localize207.0ms (1.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a #s(literal -2 binary64))
accuracy99.9%
(/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
accuracy86.9%
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy100.0%
(+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))))
accuracy95.9%
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)
accuracy94.0%
(/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)))
accuracy100.0%
(*.f64 a c)
accuracy100.0%
(-.f64 (/.f64 (*.f64 a c) b) b)
accuracy95.9%
(/.f64 (*.f64 a c) b)
accuracy94.4%
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
accuracy100.0%
(/.f64 #s(literal 0 binary64) a)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a))
accuracy98.7%
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a)
accuracy89.3%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
accuracy79.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
Results
77.0ms27×2valid
43.0ms125×0valid
31.0ms97×0invalid
7.0ms1valid
Compiler

Compiled 256 to 36 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-div: 39.0ms (41.9% of total)
ival-mult: 37.0ms (39.7% of total)
ival-add: 6.0ms (6.4% of total)
ival-sqrt: 5.0ms (5.4% of total)
backward-pass: 4.0ms (4.3% of total)
const: 1.0ms (1.1% of total)
ival-sub: 1.0ms (1.1% of total)

series62.0ms (0.5%)

Counts
19 → 612
Calls
Call 1
Inputs
#<alt (/ 1 (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a))>
#<alt (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a)>
#<alt (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))>
#<alt (+ b (sqrt (+ (* b b) (* a (* -4 c)))))>
#<alt (/ 0 a)>
#<alt (/ (- (/ (* a c) b) b) a)>
#<alt (- (/ (* a c) b) b)>
#<alt (/ (* a c) b)>
#<alt (* a c)>
#<alt (/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))))>
#<alt (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))>
#<alt (* a -2)>
#<alt (+ (* b 2) (/ (* c (* a -2)) b))>
#<alt (/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4))))))>
#<alt (/ (* a -2) (+ b (sqrt (* a (* c -4)))))>
#<alt (+ b (sqrt (* a (* c -4))))>
#<alt (sqrt (+ (* b b) (* a (* -4 c))))>
#<alt (/ (* c (* a -2)) b)>
#<alt (sqrt (* a (* c -4)))>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -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)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (* -1 (/ a b))>
#<alt (/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b)>
#<alt (* -1 (/ b c))>
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -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))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))))>
#<alt (* -1 (/ a b))>
#<alt (* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b)))>
#<alt (* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b)))>
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ a c)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -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)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))>
#<alt (* -1 (/ a b))>
#<alt (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))>
#<alt (+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))>
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -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))))) c)>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -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)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -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)))))) c)>
#<alt (* (sqrt (/ a c)) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c))>
#<alt (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))>
#<alt (/ -1 b)>
#<alt (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)>
#<alt (/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b)>
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#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<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 (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))>
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))>
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))>
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))>
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4)))))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))>
#<alt (* (sqrt (/ a c)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* a (pow b 3)) (pow c 2))) (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* a (* (pow c 2) (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (* -2 (/ a b))>
#<alt (/ (+ (* -2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))) b)>
#<alt (/ (+ (* -2 a) (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) b)>
#<alt (/ (+ (* -2 a) (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (+ (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* 2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))))) b)>
#<alt (* -2 (/ a b))>
#<alt (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* 2 a)) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) b)) (* 2 a)) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* 2 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) b)) (* 2 a)) b))>
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))>
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))>
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))>
#<alt (* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))>
#<alt (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) c)>
#<alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) c)>
#<alt (* (sqrt (/ a c)) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* b c)) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* -1/8 (/ (* (pow b 3) c) a))) c)) (* -1/2 (* b c))) c))) c))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt b>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ 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 (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* (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)))>
Calls

153 calls:

TimeVariablePointExpression
13.0ms
c
@0
(/ (* a -2) (+ b (sqrt (* a (* c -4)))))
2.0ms
b
@inf
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
2.0ms
c
@0
(/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))))
1.0ms
a
@0
(/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4))))))
1.0ms
a
@-inf
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))

rewrite371.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
3360×*-lowering-*.f32
3360×*-lowering-*.f64
3232×/-lowering-/.f32
3232×/-lowering-/.f64
2000×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035177
1204172
21714167
08628167
Stop Event
iter limit
node limit
Counts
19 → 686
Calls
Call 1
Inputs
(/ 1 (* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a))
(* (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))) a)
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(/ 0 a)
(/ (- (/ (* a c) b) b) a)
(- (/ (* a c) b) b)
(/ (* a c) b)
(* a c)
(/ 1 (/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b))))
(/ (* a -2) (+ (* b 2) (/ (* c (* a -2)) b)))
(* a -2)
(+ (* b 2) (/ (* c (* a -2)) b))
(/ 1 (/ (* a -2) (+ b (sqrt (* a (* c -4))))))
(/ (* a -2) (+ b (sqrt (* a (* c -4)))))
(+ b (sqrt (* a (* c -4))))
(sqrt (+ (* b b) (* a (* -4 c))))
(/ (* c (* a -2)) b)
(sqrt (* a (* c -4)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
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(pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 #s(literal -4 binary64) c)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a))
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) a)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) a))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c))))

simplify384.0ms (3.2%)

Algorithm
egg-herbie
Rules
6320×*-lowering-*.f32
6320×*-lowering-*.f64
3654×+-lowering-+.f64
3654×+-lowering-+.f32
1752×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012809290
145128881
086268881
Stop Event
iter limit
node limit
Counts
612 → 612
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -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)))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))
(* -1 (/ a b))
(/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6)))))) b)
(* -1 (/ b c))
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (/ 1 c))))
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c)))))
(* -1 (* b (+ (* -1 (/ a (pow b 2))) (+ (* 2 (/ (+ (* -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))) (+ (* 2 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (/ 1 c))))))
(* -1 (/ a b))
(* a (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* a (- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b)))
(* a (- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))))))) (/ 1 b)))
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -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)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -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))))))))) (* -1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))
(* -1 (/ a b))
(+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))
(+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -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))))) c)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -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)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 2 (/ (+ (* -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)))))) c)
(* (sqrt (/ a c)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* b c))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* -1/2 (* b c))) c))) c))
(* -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 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(/ -1 b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b)
(/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b)
(* -1 (/ b (* a c)))
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))))))
(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* a (- (* -2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b))
(- (* a (- (* a (- (* -1 (* a (+ (* 4 (/ (pow c 3) (pow b 7))) (/ (pow c 3) (pow b 7))))) (* 2 (/ (pow c 2) (pow b 5))))) (/ c (pow b 3)))) (/ 1 b))
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* 1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))))) a)) (* 1/2 (/ (* a b) c))) a))) a))
(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))
(- (* c (- (* c (- (* -1 (* c (+ (* 4 (/ (pow a 3) (pow b 7))) (/ (pow a 3) (pow b 7))))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c))) c))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
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(* -1 (/ b a))
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(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
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(/ b c)
(+ (/ b c) (/ (pow b 3) (* a (pow c 2))))
(- (+ (/ b c) (/ (pow b 5) (* (pow a 2) (pow c 3)))) (* -1 (/ (pow b 3) (* a (pow c 2)))))
(- (+ (/ b c) (/ (pow b 7) (* (pow a 3) (pow c 4)))) (+ (* -1 (/ (pow b 3) (* a (pow c 2)))) (* -1 (/ (pow b 5) (* (pow a 2) (pow c 3))))))
(/ b c)
(+ (/ b c) (/ (pow b 3) (* a (pow c 2))))
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(/ b c)
(* b (+ (/ 1 c) (/ (pow b 2) (* a (pow c 2)))))
(* b (+ (* (pow b 2) (+ (/ 1 (* a (pow c 2))) (/ (pow b 2) (* (pow a 2) (pow c 3))))) (/ 1 c)))
(* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (* (pow a 2) (pow c 3))) (/ (pow b 2) (* (pow a 3) (pow c 4))))) (/ 1 (* a (pow c 2))))) (/ 1 c)))
(* -1 (/ a b))
(/ (+ (* -1 a) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)
(/ (+ (* -1 a) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))) b)
(* -1 (/ a b))
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b))
(* -1 (/ (+ a (+ (/ (* (pow a 2) c) (pow b 2)) (/ (* (pow a 3) (pow c 2)) (pow b 4)))) b))
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(* -1 (/ a b))
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(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -1 (/ (* (pow a 4) c) (pow b 7))) (* -1 (/ (pow a 3) (pow b 5))))))))
(/ b c)
(/ (+ b (/ (pow b 3) (* a c))) c)
(/ (+ b (+ (/ (pow b 3) (* a c)) (/ (pow b 5) (* (pow a 2) (pow c 2))))) c)
(/ (+ b (+ (/ (pow b 3) (* a c)) (+ (/ (pow b 5) (* (pow a 2) (pow c 2))) (/ (pow b 7) (* (pow a 3) (pow c 3)))))) c)
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(* -2 a)
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(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b)
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* 2 b)
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(+ (* -2 (/ (* a c) b)) (* 2 b))
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(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))
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(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
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(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
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(- (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* a (* (pow c 2) (pow (sqrt -4) 4)))))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))
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(* -2 (/ a b))
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(/ (+ (* -2 a) (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) b)
(/ (+ (* -2 a) (+ (* -2 (/ (* (pow a 2) (* c (pow (sqrt -4) 2))) (pow b 2))) (+ (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))) (* 2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) (pow b 3))))))) b)
(* -2 (/ a b))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -4) 3) b))) (* 2 (* (pow a 2) (* c (pow (sqrt -4) 2))))) b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) b)) (* 2 a)) b))
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))
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(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))
(* -2 (/ a (+ b (* (sqrt (* a c)) (sqrt -4)))))
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) c)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) c)
(* (sqrt (/ a c)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* b c)) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* -1/8 (/ (* (pow b 3) c) a))) c)) (* -1/2 (* b c))) c))) 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
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
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(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ 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))))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* (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)))
Outputs
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 #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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 #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 -1/4 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 1/16 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 b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(*.f64 b (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 c (+.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (*.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 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #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))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #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 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.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)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))))) (/.f64 b a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 b (*.f64 c a)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.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 #s(literal 1/8 binary64) (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)) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.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 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 #s(literal 1/128 binary64) (*.f64 (*.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)))))))) c)) c)) (neg.f64 c))
(* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* 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))))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 c #s(literal -4 binary64))))))
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(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 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 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.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 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (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 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 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 (+.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 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -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 (*.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 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 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 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))))))) (neg.f64 c))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))

eval194.0ms (1.6%)

Compiler

Compiled 30550 to 3647 computations (88.1% saved)

prune177.0ms (1.5%)

Pruning

50 alts after pruning (45 fresh and 5 done)

PrunedKeptTotal
New1307191326
Fresh52631
Picked415
Done044
Total1316501366
Accuracy
99.7%
Counts
1366 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
18.4%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
25.3%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a)
10.3%
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a)
4.0%
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a)
2.5%
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a)
57.3%
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
16.1%
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a)
30.0%
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a)
30.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))))
57.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
43.1%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
43.1%
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a)
25.5%
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))))
22.0%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
25.1%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a)
30.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
10.3%
(/.f64 c b)
43.1%
(/.f64 b (neg.f64 a))
10.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)))
17.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)))))
17.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))))
57.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
29.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
10.4%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
43.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
30.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c)))
30.4%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))))
30.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))
30.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))))
43.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
30.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a))
24.7%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a))
24.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a))
43.2%
(-.f64 (/.f64 c b) (/.f64 b a))
40.2%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
31.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
57.7%
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
29.9%
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64)))
57.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
30.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
25.1%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
43.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
43.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
42.6%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
41.5%
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
42.5%
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a)))
20.8%
(*.f64 b (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))
21.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64)))
10.4%
#s(literal 0 binary64)
Compiler

Compiled 1906 to 1149 computations (39.7% saved)

simplify288.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
cost-diff0
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))
cost-diff256
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
cost-diff384
(*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))
cost-diff512
(*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))
cost-diff512
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64)))
cost-diff1280
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
cost-diff0
(/.f64 (*.f64 a c) b)
cost-diff0
(*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal -1/2 binary64) a)
cost-diff384
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
cost-diff0
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
cost-diff0
(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
Rules
4716×*-lowering-*.f32
4716×*-lowering-*.f64
1734×/-lowering-/.f32
1734×/-lowering-/.f64
1462×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035255
1100253
2325219
32403210
44658210
08121210
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
(/ 1 a)
1
a
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
-2
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
b
(sqrt (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* b b)
(* a (* -4 c))
(* -4 c)
-4
c
0
(* (/ -1/2 a) (* (/ (* a c) b) 2))
(/ -1/2 a)
-1/2
a
(* (/ (* a c) b) 2)
(/ (* a c) b)
(* a c)
c
b
2
(/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b)))
(- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1))
(* 1 (/ a b))
1
(/ a b)
a
b
(* (/ a (* c (/ a b))) 1)
(/ a (* c (/ a b)))
(* c (/ a b))
c
(* (/ a (* c (/ a b))) (/ a b))
(+ (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) (/ b (/ a -1/2)))
(/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2))
(sqrt (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* b b)
b
(* a (* -4 c))
a
(* -4 c)
-4
c
(/ a -1/2)
-1/2
(/ b (/ a -1/2))
Outputs
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))
-2
#s(literal -2 binary64)
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))
b
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* a (* -4 c)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
(* a (* -4 c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -4 c)
(*.f64 #s(literal -4 binary64) c)
-4
#s(literal -4 binary64)
c
0
#s(literal 0 binary64)
(* (/ -1/2 a) (* (/ (* a c) b) 2))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(* (/ (* a c) b) 2)
(*.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b))
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(* a c)
(*.f64 a c)
c
b
2
#s(literal 2 binary64)
(/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b)))
(-.f64 (/.f64 c b) (/.f64 b a))
(- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1))
(-.f64 (/.f64 a b) (/.f64 b c))
(* 1 (/ a b))
(/.f64 a b)
1
#s(literal 1 binary64)
(/ a b)
(/.f64 a b)
a
b
(* (/ a (* c (/ a b))) 1)
(/.f64 b c)
(/ a (* c (/ a b)))
(/.f64 b c)
(* c (/ a b))
(/.f64 (*.f64 a c) b)
c
(* (/ a (* c (/ a b))) (/ a b))
(/.f64 a c)
(+ (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) (/ b (/ a -1/2)))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (/.f64 a #s(literal -1/2 binary64)))
(/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2))
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (/.f64 a #s(literal -1/2 binary64)))
(sqrt (+ (* b b) (* a (* -4 c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))))
(+ (* b b) (* a (* -4 c)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
b
(* a (* -4 c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
a
(* -4 c)
(*.f64 #s(literal -4 binary64) c)
-4
#s(literal -4 binary64)
c
(/ a -1/2)
(/.f64 a #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ b (/ a -1/2))
(/.f64 b (/.f64 a #s(literal -1/2 binary64)))

localize270.0ms (2.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64)))
accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
accuracy77.8%
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
accuracy64.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
accuracy92.4%
(*.f64 c (/.f64 a b))
accuracy82.8%
(/.f64 a (*.f64 c (/.f64 a b)))
accuracy78.4%
(*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b))
accuracy76.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
accuracy100.0%
(*.f64 a c)
accuracy100.0%
(*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))
accuracy92.5%
(/.f64 (*.f64 a c) b)
accuracy82.9%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
accuracy97.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
accuracy78.5%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
accuracy64.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
Results
92.0ms42×2valid
69.0ms182×0valid
17.0ms21×1valid
14.0ms11×3valid
Compiler

Compiled 285 to 36 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
backward-pass: 51.0ms (41.3% of total)
ival-div: 29.0ms (23.5% of total)
ival-mult: 26.0ms (21% of total)
ival-add: 8.0ms (6.5% of total)
ival-sqrt: 7.0ms (5.7% of total)
ival-sub: 2.0ms (1.6% of total)
const: 1.0ms (0.8% of total)

series37.0ms (0.3%)

Counts
19 → 624
Calls
Call 1
Inputs
#<alt (/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))>
#<alt (/ 1 a)>
#<alt (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))>
#<alt (+ b (sqrt (+ (* b b) (* a (* -4 c)))))>
#<alt (* (/ -1/2 a) (* (/ (* a c) b) 2))>
#<alt (/ -1/2 a)>
#<alt (* (/ (* a c) b) 2)>
#<alt (/ (* a c) b)>
#<alt (/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b)))>
#<alt (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1))>
#<alt (* (/ a (* c (/ a b))) (/ a b))>
#<alt (* (/ a (* c (/ a b))) 1)>
#<alt (+ (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) (/ b (/ a -1/2)))>
#<alt (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2))>
#<alt (sqrt (+ (* b b) (* a (* -4 c))))>
#<alt (+ (* b b) (* a (* -4 c)))>
#<alt (* a c)>
#<alt (/ a (* c (/ a b)))>
#<alt (* c (/ a b))>
Outputs
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))>
#<alt (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))>
#<alt (/ -1 b)>
#<alt (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)>
#<alt (/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b)>
#<alt (* -1 (/ b (* a c)))>
#<alt (* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2)))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))))))>
#<alt (/ -1 b)>
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (- (* a (- (* -2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b))>
#<alt (- (* a (- (* a (- (* -1 (* a (+ (* 4 (/ (pow c 3) (pow b 7))) (/ (pow c 3) (pow b 7))))) (* 2 (/ (pow c 2) (pow b 5))))) (/ c (pow b 3)))) (/ 1 b))>
#<alt (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)>
#<alt (/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)>
#<alt (/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* 1/16 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -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)))))) a)) (* 1/2 (/ (* a b) c))) a))) a))>
#<alt (/ -1 b)>
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))>
#<alt (- (* c (- (* c (- (* -1 (* c (+ (* 4 (/ (pow a 3) (pow b 7))) (/ (pow a 3) (pow b 7))))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))>
#<alt (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)>
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#<alt (/ (+ (* -1/2 b) (/ (* a c) b)) a)>
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#<alt (/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ b a))>
#<alt (+ (* -1/2 (/ b a)) (/ c b))>
#<alt (+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (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))))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
Calls

156 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
2.0ms
b
@0
(* (/ a (* c (/ a b))) (/ a b))
1.0ms
a
@0
(/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b)))
1.0ms
b
@0
(/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b)))
1.0ms
a
@inf
(/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2))

rewrite506.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
4402×/-lowering-/.f32
4402×/-lowering-/.f64
3284×*-lowering-*.f32
3284×*-lowering-*.f64
1914×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034181
1235174
22505157
09197157
Stop Event
iter limit
node limit
Counts
19 → 995
Calls
Call 1
Inputs
(/ (/ 1 a) (/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c)))))))
(/ 1 a)
(/ -2 (+ b (sqrt (+ (* b b) (* a (* -4 c))))))
(+ b (sqrt (+ (* b b) (* a (* -4 c)))))
(* (/ -1/2 a) (* (/ (* a c) b) 2))
(/ -1/2 a)
(* (/ (* a c) b) 2)
(/ (* a c) b)
(/ (- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1)) (* (/ a (* c (/ a b))) (/ a b)))
(- (* 1 (/ a b)) (* (/ a (* c (/ a b))) 1))
(* (/ a (* c (/ a b))) (/ a b))
(* (/ a (* c (/ a b))) 1)
(+ (/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2)) (/ b (/ a -1/2)))
(/ (sqrt (+ (* b b) (* a (* -4 c)))) (/ a -1/2))
(sqrt (+ (* b b) (* a (* -4 c))))
(+ (* b b) (* a (* -4 c)))
(* a c)
(/ a (* c (/ a b)))
(* c (/ a b))
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (/.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (/.f64 (*.f64 b b) (/.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) (/.f64 a #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (/.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (/.f64 (*.f64 a a) #s(literal 1/4 binary64))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) a) #s(literal -1/2 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
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(fabs.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))
(sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (+.f64 (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))))) (neg.f64 (+.f64 (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(/.f64 (-.f64 (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b)))) (+.f64 (*.f64 (*.f64 b (*.f64 b 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 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))
(*.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b 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 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)))
(*.f64 a c)
(*.f64 c a)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a c) (*.f64 a b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))))
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) (*.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) (/.f64 a c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 a c) (*.f64 a b)))))
(/.f64 a (*.f64 a (/.f64 c b)))
(/.f64 (/.f64 a (*.f64 a (/.f64 c b))) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 a c) #s(literal 1 binary64)) (/.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a c) (*.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 a c) (*.f64 a b)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a b) (/.f64 a c))))
(/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a c) #s(literal 1 binary64))) (neg.f64 (/.f64 a b)))
(/.f64 (/.f64 a c) (/.f64 a b))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 a c)) (/.f64 a b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (*.f64 a (/.f64 c b)))
(/.f64 (neg.f64 (/.f64 a c)) (neg.f64 (/.f64 a b)))
(/.f64 (/.f64 a a) (/.f64 c b))
(/.f64 (/.f64 a (*.f64 a c)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 a (/.f64 a b)) c)
(/.f64 (/.f64 (/.f64 a c) #s(literal 1 binary64)) (/.f64 a b))
(/.f64 (/.f64 (/.f64 a c) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) (*.f64 a (/.f64 c b)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))) (*.f64 a (/.f64 c b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 a c))) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))
(/.f64 (neg.f64 (neg.f64 (/.f64 a c))) (neg.f64 (neg.f64 (/.f64 a b))))
(/.f64 (neg.f64 (/.f64 a a)) (neg.f64 (/.f64 c b)))
(/.f64 (neg.f64 (/.f64 a (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(/.f64 (neg.f64 (/.f64 a (/.f64 a b))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (/.f64 a c) #s(literal 1 binary64))) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 (/.f64 (/.f64 a c) a)) (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(pow.f64 (/.f64 (*.f64 a c) (*.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 a c) (*.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a b) (/.f64 a c)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (/.f64 c b))))
(*.f64 a (/.f64 b (*.f64 a c)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 c b) a) #s(literal -1 binary64)))
(*.f64 (/.f64 a (*.f64 a (/.f64 c b))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c b))))
(*.f64 (/.f64 b (*.f64 a c)) a)
(*.f64 (/.f64 b a) (/.f64 a c))
(*.f64 (/.f64 a c) (/.f64 b a))
(*.f64 (/.f64 a a) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
(*.f64 (/.f64 a (*.f64 a c)) b)
(*.f64 (/.f64 a (/.f64 a b)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 (/.f64 a b) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) a) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 a c) #s(literal 1 binary64)) (/.f64 b a))
(*.f64 (/.f64 (/.f64 a c) a) b)
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 a c))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (/.f64 a c) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a c))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 a c)))))
(/.f64 c (/.f64 b a))
(/.f64 (*.f64 a c) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 a c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 c) (neg.f64 (/.f64 b a)))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 b a))
(/.f64 (*.f64 #s(literal 1 binary64) c) (/.f64 b a))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (/.f64 b a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 (/.f64 b a)))
(pow.f64 (*.f64 a (/.f64 c b)) #s(literal 1 binary64))
(pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c b)))
(*.f64 a (/.f64 c b))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) c))
(*.f64 c (/.f64 a b))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 a b) c)
(*.f64 (/.f64 a b) (*.f64 #s(literal 1 binary64) c))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))
(*.f64 (/.f64 c b) a)
(*.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))

simplify407.0ms (3.4%)

Algorithm
egg-herbie
Rules
7058×*-lowering-*.f32
7058×*-lowering-*.f64
4836×+-lowering-+.f64
4836×+-lowering-+.f32
1578×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08797651
130747447
086227447
Stop Event
iter limit
node limit
Counts
624 → 624
Calls
Call 1
Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* -1/2 (/ b a))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ b a))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (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))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* 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 c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))))) b) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.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))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a)) a))
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a)))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
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(* (sqrt (* a c)) (sqrt -4))
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/64 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)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (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 #s(literal -1/64 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)) (sqrt.f64 #s(literal -1 binary64))))) (+.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 a a)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 (*.f64 a (/.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 (*.f64 c (*.f64 a 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 a c)))
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (+.f64 (*.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 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 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 (*.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 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #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 a c)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 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 (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.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 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (neg.f64 c))
(* -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 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))) (neg.f64 c))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* 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 a (*.f64 c #s(literal -4 binary64)))
(* -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 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))

eval283.0ms (2.3%)

Compiler

Compiled 54076 to 4118 computations (92.4% saved)

prune335.0ms (2.8%)

Pruning

55 alts after pruning (49 fresh and 6 done)

PrunedKeptTotal
New1910141924
Fresh53540
Picked325
Done145
Total1919551974
Accuracy
99.7%
Counts
1974 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.4%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
25.3%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a)
4.0%
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a)
2.5%
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a)
57.3%
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
16.1%
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a)
30.0%
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a)
18.5%
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
8.3%
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
35.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))))
57.7%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
30.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
25.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c)))
25.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
43.1%
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
43.1%
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a)
25.5%
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))))
18.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b)))
17.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b)))
25.1%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a)
21.7%
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
30.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
19.2%
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
26.3%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b)
28.0%
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64)))
10.3%
(/.f64 c b)
43.1%
(/.f64 b (neg.f64 a))
10.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)))
17.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)))))
17.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))))
29.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
10.4%
(/.f64 #s(literal 1 binary64) (/.f64 b c))
43.0%
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
30.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c)))
30.4%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))))
30.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))
30.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))))
43.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
30.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a))
24.7%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a))
43.2%
(-.f64 (/.f64 c b) (/.f64 b a))
40.2%
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
31.1%
(-.f64 #s(literal 0 binary64) (/.f64 c b))
6.7%
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
57.7%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
30.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
43.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
43.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
42.6%
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
41.5%
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
42.5%
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a)))
20.8%
(*.f64 b (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))
57.7%
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) a) (/.f64 b a)))
21.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64)))
10.4%
#s(literal 0 binary64)
Compiler

Compiled 2539 to 1016 computations (60% saved)

regimes122.0ms (1%)

Counts
82 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b)
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c)))
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)))
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a)
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a)
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))))
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a)
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a)
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))))
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a)
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))))
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) a) (/.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -2 binary64)) a)
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) #s(literal -1 binary64)))
(*.f64 b (+.f64 (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) c)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)))))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) #s(literal -2 binary64)) a)
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a)
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

4 calls:

41.0ms
b
25.0ms
a
24.0ms
c
21.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
60.3%2a
89.3%3b
61.2%2c
77.2%5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes30.0ms (0.2%)

Counts
61 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b)
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c)))
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)))
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a)
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a)
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))))
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a)
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a)
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))))
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a)
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))))
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (pow.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

20.0ms
b
Results
AccuracySegmentsBranch
89.2%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes25.0ms (0.2%)

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

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
84.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.2%)

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

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
84.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts
54 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c b))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 a (*.f64 c #s(literal 2 binary64)))) b)
(/.f64 (-.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b))) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c)))
(*.f64 b (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) a)))
(*.f64 b (+.f64 (*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 c a) #s(literal -2 binary64)) b)))
(/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 c a) (*.f64 b b)))) a)
(/.f64 (/.f64 (+.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64))) #s(literal -2 binary64)) a)
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (*.f64 b b))))))
(/.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) (*.f64 a (*.f64 b b)))
(/.f64 (/.f64 a b) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b))))
(/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 a c) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 (/.f64 (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b))) #s(literal -2 binary64)) a)
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))))) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
(/.f64 (/.f64 (+.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) b)))) #s(literal -2 binary64)) a)
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c)))) b)) #s(literal -2 binary64)) a)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) a) (*.f64 (/.f64 a b) b)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 a b)) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 a c) (/.f64 a b)) (/.f64 a b)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))))
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) (*.f64 b b))) #s(literal -2 binary64)) a)
(/.f64 (/.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (*.f64 (/.f64 b a) (/.f64 a b))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))
(/.f64 (+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))) (+.f64 (*.f64 (neg.f64 (/.f64 b (*.f64 a c))) a) (/.f64 a (*.f64 a (/.f64 c b))))) (*.f64 (/.f64 a (*.f64 c (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (/.f64 (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)) (/.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a c)))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 c (/.f64 (*.f64 #s(literal -2 binary64) a) b)))))))
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)) (/.f64 (/.f64 b a) (/.f64 #s(literal -2 binary64) (/.f64 b c))))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))) b))) #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) #s(literal -2 binary64)) a)
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
71.8%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 b c))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (neg.f64 a))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
71.5%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)
(/.f64 c b)
(/.f64 b (neg.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
Outputs
#s(literal 0 binary64)
(/.f64 b (neg.f64 a))
Calls

3 calls:

2.0ms
b
2.0ms
a
2.0ms
c
Results
AccuracySegmentsBranch
43.1%1a
43.1%1c
50.8%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.3%)

Accuracy

Total -0.5b remaining (-0.9%)

Threshold costs -0.5b (-0.9%)

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

3 calls:

27.0ms
c
2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
10.4%1c
10.4%1a
10.4%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch66.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3.0001948715872085e+89
1.8747802539514616e+90
45.0ms
-1.2034358826588999e-55
-2.9919832728519038e-68
Results
20.0ms31×2valid
18.0ms186×0valid
7.0ms39×1valid
3.0ms34×0invalid
Compiler

Compiled 502 to 355 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sqrt: 14.0ms (39.2% of total)
ival-mult: 11.0ms (30.8% of total)
ival-sub: 4.0ms (11.2% of total)
ival-div: 3.0ms (8.4% of total)
ival-neg: 2.0ms (5.6% of total)
backward-pass: 1.0ms (2.8% of total)
const: 1.0ms (2.8% of total)

bsearch98.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
56.0ms
3.0001948715872085e+89
1.8747802539514616e+90
36.0ms
-1.2034358826588999e-55
-2.9919832728519038e-68
Results
62.0ms194×0valid
9.0ms27×2valid
7.0ms35×1valid
3.0ms32×0invalid
Compiler

Compiled 502 to 355 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-sqrt: 47.0ms (68.7% of total)
ival-mult: 11.0ms (16.1% of total)
ival-sub: 4.0ms (5.8% of total)
ival-div: 3.0ms (4.4% of total)
ival-neg: 2.0ms (2.9% of total)
backward-pass: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)

bsearch85.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
1.1112890191083948e-154
1.9861868078605932e-122
37.0ms
-1.2034358826588999e-55
-2.9919832728519038e-68
Results
32.0ms266×0valid
10.0ms41×1valid
8.0ms29×2valid
8.0ms86×0invalid
Compiler

Compiled 573 to 418 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 14.0ms (41.7% of total)
ival-div: 5.0ms (14.9% of total)
ival-sub: 5.0ms (14.9% of total)
ival-sqrt: 4.0ms (11.9% of total)
ival-neg: 3.0ms (8.9% of total)
const: 1.0ms (3% of total)
backward-pass: 1.0ms (3% of total)

bsearch93.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
1.1112890191083948e-154
1.9861868078605932e-122
40.0ms
-1.2034358826588999e-55
-2.9919832728519038e-68
Results
30.0ms266×0valid
10.0ms112×0invalid
9.0ms30×2valid
8.0ms40×1valid
Compiler

Compiled 573 to 418 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 20.0ms (50.9% of total)
ival-sub: 5.0ms (12.7% of total)
ival-div: 4.0ms (10.2% of total)
ival-sqrt: 4.0ms (10.2% of total)
ival-neg: 3.0ms (7.6% of total)
const: 1.0ms (2.5% of total)
backward-pass: 1.0ms (2.5% of total)

bsearch80.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
76.0ms
-1.208395970855322e-306
3.879303775866811e-285
Results
36.0ms176×0valid
31.0ms113×0invalid
Compiler

Compiled 246 to 173 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 22.0ms (59.7% of total)
ival-mult: 8.0ms (21.7% of total)
ival-sub: 3.0ms (8.1% of total)
ival-sqrt: 2.0ms (5.4% of total)
ival-neg: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
-1.208395970855322e-306
3.879303775866811e-285
Results
16.0ms176×0valid
13.0ms114×0invalid
Compiler

Compiled 213 to 162 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (41.3% of total)
ival-sub: 5.0ms (25.8% of total)
ival-div: 2.0ms (10.3% of total)
ival-sqrt: 2.0ms (10.3% of total)
ival-neg: 2.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
-1.2380685921895753e-40
-2.888670089763854e-54
Results
11.0ms46×1valid
10.0ms34×2valid
8.0ms80×0valid
3.0ms32×0invalid
Compiler

Compiled 156 to 129 computations (17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (46.3% of total)
ival-sub: 3.0ms (13.9% of total)
ival-div: 2.0ms (9.3% of total)
backward-pass: 2.0ms (9.3% of total)
ival-neg: 2.0ms (9.3% of total)
ival-sqrt: 2.0ms (9.3% of total)
const: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×*-commutative_binary64
24×+-commutative_binary64
12×sub-neg_binary64
10×neg-mul-1_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068169
191169
2103169
3111169
4116169
5118169
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1850000000000000011496446418389003202841770302252642438935728115047731205417969550543028224 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -7114265962740707/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 680000000000000036009866962340082522413267367706013548764842814190841159984472255885213696 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2223208113356471/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 441917944371729/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -5809983869571577/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
#s(literal 0 binary64)
Outputs
(if (<=.f64 b #s(literal -4749284910124297/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 1850000000000000011496446418389003202841770302252642438935728115047731205417969550543028224 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -7114265962740707/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 680000000000000036009866962340082522413267367706013548764842814190841159984472255885213696 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -2223208113356471/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 441917944371729/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #s(literal -2 binary64)) a) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -5809983869571577/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7256757823367339/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (<=.f64 b #s(literal -4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
(if (<=.f64 b #s(literal -4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
#s(literal 0 binary64)

soundness2.1s (17.1%)

Rules
8904×*-lowering-*.f32
8904×*-lowering-*.f64
6468×*-lowering-*.f32
6468×*-lowering-*.f64
4718×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
08577307
129896898
092416898
01356
16656
254056
3654456
0805756
01416
13816
210016
326915
449315
5100215
6315415
7580715
8644115
9737115
10753615
11757615
12758215
0758215
06103728
121153618
275573606
082113606
035177
1204172
21714167
08628167
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 485 to 298 computations (38.6% saved)

preprocess110.0ms (0.9%)

Compiler

Compiled 490 to 204 computations (58.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...