The quadratic formula (r1)

Time bar (total: 12.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze185.0ms (1.5%)

Memory
-21.5MiB live, 174.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.1s (17.4%)

Memory
37.1MiB live, 2 136.1MiB allocated
Samples
570.0ms1 323×1valid
496.0ms5 572×0valid
368.0ms1 196×2valid
99.0ms926×0invalid
40.0ms165×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 390.0ms (35.1% of total)
ival-div: 222.0ms (20% of total)
adjust: 164.0ms (14.8% of total)
ival-sqrt: 123.0ms (11.1% of total)
ival-add: 73.0ms (6.6% of total)
ival-sub: 67.0ms (6% of total)
ival-neg: 51.0ms (4.6% of total)
exact: 11.0ms (1% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain475.0ms (3.9%)

Memory
11.3MiB live, 367.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1080-2(-1.1859043773906102e-269 1.0136580002697724e-232 1.6474511184829956e-43)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
530-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
170-5(3.788737656948009e-77 3.1123485561098577e+288 7.156336519895499e+43)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))oflow-rescue1010
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow101
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow24
(*.f64 b b)overflow86
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation530
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))u/n120
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow5
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow27
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow27
(*.f64 b b)underflow43
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue50
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow5
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow27
(*.f64 b b)underflow43
Confusion
Predicted +Predicted -
+1252
-10119
Precision
0.9259259259259259
Recall
0.984251968503937
Confusion?
Predicted +Predicted MaybePredicted -
+12502
-100119
Precision?
0.9259259259259259
Recall?
0.984251968503937
Freqs
test
numberfreq
0121
199
236
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
153.0ms354×0valid
22.0ms90×2valid
10.0ms64×1valid
1.0ms3valid
Compiler

Compiled 164 to 46 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-div: 74.0ms (46.1% of total)
ival-mult: 65.0ms (40.5% of total)
ival-sqrt: 6.0ms (3.7% of total)
ival-sub: 4.0ms (2.5% of total)
adjust: 4.0ms (2.5% of total)
ival-add: 4.0ms (2.5% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess129.0ms (1.1%)

Memory
-16.0MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Rules
1 548×div-sub
1 120×lower-fma.f64
1 120×lower-fma.f32
1 004×sub-neg
744×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054158
1162144
2463144
31233144
43210144
56057144
01417
02317
14016
27716
316016
424016
538116
666216
7112916
8224316
9251916
10262916
11268416
12268516
13268516
14269116
0269115
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify221.0ms (1.8%)

Memory
0.3MiB live, 80.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Rules
1 120×lower-fma.f64
1 120×lower-fma.f32
744×lower-*.f32
736×lower-*.f64
440×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02370
14068
27768
316068
424068
538168
666268
7112968
8224368
9251968
10262968
11268468
12268568
13268568
14269168
0269164
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize79.0ms (0.7%)

Memory
4.9MiB live, 119.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy3.4684242733103767
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
accuracy11.302011812895831
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy24.863391408535456
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
31.0ms32×1valid
16.0ms177×0valid
14.0ms45×2valid
1.0ms3valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sub: 27.0ms (53.7% of total)
ival-mult: 11.0ms (21.9% of total)
ival-div: 3.0ms (6% of total)
ival-sqrt: 3.0ms (6% of total)
adjust: 2.0ms (4% of total)
ival-add: 2.0ms (4% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-26.3MiB live, 51.6MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
8.0ms
b
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0ms
b
@inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms
c
@inf
(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms
b
@0
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms
a
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify223.0ms (1.8%)

Memory
8.1MiB live, 196.0MiB allocated
Algorithm
egg-herbie
Rules
11 458×lower-fma.f64
11 458×lower-fma.f32
7 766×lower-*.f64
7 766×lower-*.f32
2 546×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453273
117383232
260833204
082433047
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 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) (+ 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 (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -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 (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) c) a) a)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 a a) (*.f64 c a)) #s(literal -2 binary64)) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 a a) (*.f64 c a)) #s(literal -2 binary64))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 a a) (*.f64 c a)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64)))) b)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64)))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (neg.f64 b) (fma.f64 (fma.f64 (/.f64 c (*.f64 b b)) a (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64) #s(literal 2 binary64)))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 c (*.f64 b b)) a (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64) #s(literal 2 binary64))))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) a (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) c) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) a (/.f64 c b)) #s(literal -2 binary64))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))) a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) a) b) a)))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) (*.f64 a a) (/.f64 a b)) #s(literal -2 binary64)) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (*.f64 (*.f64 (*.f64 a a) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c)))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 a a)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) c) b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(- (pow b 2) (* 4 (* a c)))
(fma.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 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
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(fma.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) c) a) a)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
(+ (* (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)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) c) a) a))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b (/.f64 b (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))))) (*.f64 b b) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) b)
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 b b)) a (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64) #s(literal 1 binary64)) b)
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 c (*.f64 b b)) a (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64) #s(literal 1 binary64))) b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (neg.f64 b) (fma.f64 (fma.f64 (/.f64 c (*.f64 b b)) a (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64) #s(literal 1 binary64)))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 c (*.f64 b b)) a (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64) #s(literal 1 binary64))))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) a (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) c) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) a (/.f64 c b)) #s(literal -2 binary64))) a 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a)
(* 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 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.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 7 binary64)) (pow.f64 c #s(literal 5 binary64)))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) (*.f64 c c)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 5 binary64)) c) (*.f64 c c)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) c) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) (*.f64 a a) (/.f64 a b)) #s(literal -2 binary64)) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 a a)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* 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 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 a a)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.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) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 a a)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 a a)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) (neg.f64 c))

rewrite222.0ms (1.8%)

Memory
-8.4MiB live, 242.5MiB allocated
Rules
4 850×lower-fma.f64
4 850×lower-fma.f32
3 904×lower-*.f32
3 896×lower-*.f64
2 332×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17649
253648
3686448
0815844
Stop Event
iter limit
node limit
iter limit
Counts
5 → 440
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) (fma.f64 (*.f64 (*.f64 b b) b) b (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
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(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 0 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b)))) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64))

eval143.0ms (1.2%)

Memory
23.7MiB live, 129.4MiB allocated
Compiler

Compiled 22 484 to 2 054 computations (90.9% saved)

prune223.0ms (1.8%)

Memory
15.4MiB live, 256.3MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New57320593
Fresh000
Picked101
Done000
Total57420594
Accuracy
91.6%
Counts
594 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
27.6%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
53.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
48.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
52.6%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
29.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
31.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
48.4%
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) a))
12.1%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
30.1%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
30.1%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
25.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
53.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
22.1%
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
53.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
23.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64)))
33.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
37.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
31.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)))))
Compiler

Compiled 840 to 498 computations (40.7% saved)

simplify155.0ms (1.3%)

Memory
-25.0MiB live, 149.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a)
cost-diff384
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
cost-diff0
(*.f64 (/.f64 a b) #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (neg.f64 b) a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
Rules
8 966×lower-fma.f32
8 964×lower-fma.f64
3 294×lower-*.f32
3 280×lower-*.f64
2 028×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041338
063336
1108327
2213327
3415326
4757326
51670326
64245326
76925326
08035326
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a)
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(neg.f64 b)
b
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
a
(*.f64 b b)
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) a) #s(literal -1/2 binary64))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b)
(neg.f64 b)
b
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
a
(*.f64 b b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize192.0ms (1.6%)

Memory
9.5MiB live, 275.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy3.4684242733103767
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy11.302011812895831
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
accuracy24.863391408535467
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy24.9555201683039
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
accuracy0.709349437943034
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
accuracy3.9819641315750838
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a)
accuracy11.302011812895831
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
accuracy24.863391408535467
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.01171875
(*.f64 (/.f64 a b) #s(literal -2 binary64))
accuracy3.4684242733103767
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy4.144137978820936
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
accuracy42.76518509230189
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
accuracy0
(/.f64 (neg.f64 b) a)
accuracy0
(neg.f64 b)
accuracy40.1727378621207
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy0.0078125
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy3.6168617733103767
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
accuracy11.302011812895831
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
accuracy24.863391408535467
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
Samples
51.0ms177×0valid
26.0ms43×2valid
19.0ms32×1valid
3.0ms3valid
Compiler

Compiled 337 to 38 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 18.0ms (30.3% of total)
ival-mult: 16.0ms (26.9% of total)
adjust: 6.0ms (10.1% of total)
ival-sqrt: 6.0ms (10.1% of total)
ival-add: 6.0ms (10.1% of total)
ival-sub: 5.0ms (8.4% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.7%)

Memory
25.9MiB live, 175.4MiB allocated
Counts
19 → 612
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 b) a) (patch (/.f64 (neg.f64 b) a) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) (patch (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 a b) #s(literal -2 binary64)) (patch (*.f64 (/.f64 a b) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
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#s(alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

153 calls:

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

simplify435.0ms (3.6%)

Memory
4.8MiB live, 348.5MiB allocated
Algorithm
egg-herbie
Rules
7 440×lower-*.f64
7 440×lower-*.f32
6 790×lower-fma.f64
6 790×lower-fma.f32
4 712×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117513910
1397513571
0838413051
Stop Event
iter limit
node limit
Counts
612 → 606
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ 1/2 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)
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* -2 (/ a b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(+ (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (/ (* (pow a 2) c) (pow b 4)))) (* 1/2 (/ 1 c))))
(* b (- (+ (* -1 (/ (* a (* c (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)))) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) (pow c 2))))) (+ (* 1/2 (/ a (pow b 2))) (/ (* (pow a 2) c) (pow b 4))))))) (* 1/2 (/ 1 c))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))))) c)
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a))))) (/ (pow a 2) (pow b 3)))))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)
(/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c)
(/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ b (pow (sqrt -4) 2))))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (+ (* -1/2 (/ c (pow b 3))) (+ (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2)))))) (/ c (pow b 3))))) (* 1/2 (/ 1 b)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2)))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(* -1/2 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c)))))))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b))
(* -1/2 (/ b (* a c)))
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1/2 (/ b (* a c)))
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 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 (/ 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 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 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 (/ 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 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(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))))
(* -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)))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))
(* -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 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))))
(* -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 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal -1/8 binary64))) (*.f64 b b) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)) b)
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) b b)
(* 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)))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) b b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64)))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) b b))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)
(* c (+ (* -4 a) (/ (pow b 2) c)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)
(* -4 (* a c))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))) (neg.f64 c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(* -4 (* a c))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(* a (+ (* -4 c) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a)
(* -4 (* a c))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -4 (* a c))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 b b))

rewrite377.0ms (3.1%)

Memory
-3.4MiB live, 383.9MiB allocated
Rules
5 218×lower-fma.f32
5 216×lower-fma.f64
4 222×lower-/.f32
4 206×lower-/.f64
3 360×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041252
063221
1229213
21811213
08624213
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 506
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a)
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
Outputs
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) b) b))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) b) b))) (fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 c #s(literal -4 binary64)) a))
(fma.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a) (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a))
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 (*.f64 c #s(literal -4 binary64)) a))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) a) c) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c #s(literal -4 binary64)) a))
(fma.f64 (*.f64 #s(literal 4 binary64) a) (neg.f64 c) (*.f64 b b))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -4 binary64)) a))
(fma.f64 b b (*.f64 (*.f64 c #s(literal -4 binary64)) a))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a))) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 (neg.f64 b) b))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fabs.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a))

eval835.0ms (6.9%)

Memory
-89.7MiB live, 853.6MiB allocated
Compiler

Compiled 111 573 to 7 045 computations (93.7% saved)

prune557.0ms (4.6%)

Memory
3.1MiB live, 915.8MiB allocated
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New2 884282 912
Fresh8715
Picked325
Done000
Total2 895372 932
Accuracy
91.7%
Counts
2 932 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(/.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
31.3%
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
27.6%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
53.2%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
27.5%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) (*.f64 #s(literal 2 binary64) a))
43.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) a))
31.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
30.1%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
25.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
27.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -2 binary64) c)))) (*.f64 #s(literal 2 binary64) a))
52.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) a))
31.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) a))
50.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64))) a))
24.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) a))
37.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1/2 binary64) b)) a))
25.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))) a))
32.7%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
32.3%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
52.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b))
53.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
31.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
48.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64))) b))
12.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
27.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
23.5%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
23.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64)))
33.2%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
31.0%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c))
26.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
24.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
37.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
37.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
37.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
17.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
Compiler

Compiled 1 364 to 837 computations (38.6% saved)

simplify152.0ms (1.3%)

Memory
10.9MiB live, 161.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
cost-diff64
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
cost-diff192
(fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff832
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))
cost-diff0
(/.f64 b c)
cost-diff0
(fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
cost-diff0
#s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 (neg.f64 c) b)
cost-diff0
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
cost-diff0
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
Rules
6 512×lower-fma.f32
6 506×lower-fma.f64
3 488×lower-/.f32
3 468×lower-/.f64
3 204×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051351
079351
1128348
2221346
3412340
4817336
52305336
66554332
08081329
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
#s(literal -2 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(*.f64 a (/.f64 c b))
(/.f64 c b)
c
b
#s(literal -2 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(literal 1/2 binary64)
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(/.f64 b c)
b
c
#s(literal -1/2 binary64)
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
(/.f64 a b)
a
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))
(fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
b
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
#s(literal -2 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(*.f64 #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
#s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64))
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
(/.f64 c b)
c
b
#s(literal -2 binary64)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(literal 1/2 binary64)
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(/.f64 b c)
b
c
#s(literal -1/2 binary64)
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
(/.f64 a b)
a
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 (fma.f64 (*.f64 c a) #s(literal -2 binary64) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) a))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))
(fma.f64 (/.f64 b a) b (*.f64 c #s(literal -2 binary64)))
(fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (+.f64 b b) b (*.f64 (*.f64 c #s(literal -4 binary64)) a))
b
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
a
(*.f64 b b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))

localize239.0ms (2%)

Memory
26.0MiB live, 301.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy6.255879970454147
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
accuracy9.353292778560771
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))
accuracy11.302011812895831
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
accuracy24.863391408535488
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.00390625
(fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
accuracy0.0078125
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
accuracy0.709349437943034
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
accuracy42.698475129449136
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
accuracy0.02734375
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
accuracy3.6168617733103767
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
accuracy5.365111245914484
(*.f64 a (/.f64 c b))
accuracy42.76518509230189
#s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
accuracy0
(/.f64 (neg.f64 c) b)
accuracy0
(neg.f64 c)
accuracy42.77610561712809
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy0.1328125
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
accuracy4.151729428849059
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
accuracy11.302011812895831
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
accuracy24.863391408535488
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
Samples
67.0ms177×0valid
60.0ms43×2valid
15.0ms32×1valid
3.0ms3valid
Compiler

Compiled 332 to 45 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 34.0ms (39.7% of total)
ival-mult: 19.0ms (22.2% of total)
ival-add: 16.0ms (18.7% of total)
adjust: 6.0ms (7% of total)
ival-sub: 4.0ms (4.7% of total)
ival-sqrt: 3.0ms (3.5% of total)
ival-neg: 2.0ms (2.3% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.7%)

Memory
-1.9MiB live, 145.1MiB allocated
Counts
23 → 720
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())
#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) (patch #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) (patch (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) (patch (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) (patch (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c) (taylor 0 c) (#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))))) c) (taylor 0 c) (#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) (taylor inf c) (#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(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))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(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))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
Calls

180 calls:

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

simplify233.0ms (1.9%)

Memory
-10.2MiB live, 321.7MiB allocated
Algorithm
egg-herbie
Rules
7 130×lower-*.f64
7 130×lower-*.f32
6 978×lower-fma.f64
6 978×lower-fma.f32
4 214×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154414573
1520814057
0860313515
Stop Event
iter limit
node limit
Counts
720 → 717
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(* -1 (/ b (* a c)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))))))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c))
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(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a)
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
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(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
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(* 2 b)
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
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(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
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(* -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))
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(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
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(* -1 (/ c b))
(* -1 (/ c b))
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(* -1 c)
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(* -1 c)
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(* -1 c)
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(* -1 (/ c b))
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(* 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)))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
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(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
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(/ 1/2 a)
(/ 1/2 a)
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -2 (/ (* a c) b))
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(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
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(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
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(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
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(* -2 b)
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
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(* -1/2 (/ b c))
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(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))))) c)
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a))))) (/ (pow a 2) (pow b 3)))))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)
(/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c)
(/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ b (pow (sqrt -4) 2))))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (+ (* -1/2 (/ c (pow b 3))) (+ (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2)))))) (/ c (pow b 3))))) (* 1/2 (/ 1 b)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
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(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(* -1/2 (/ b c))
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(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
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(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
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(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(* 1/2 (/ a b))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ a b))
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(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
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(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
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(/ b c)
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(* (pow b 2) (+ (* -2 (/ c (pow b 2))) (/ 1 a)))
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(/ (+ (* -2 (* a c)) (pow b 2)) a)
(/ (+ (* -2 (* a c)) (pow b 2)) a)
(/ (+ (* -2 (* a c)) (pow b 2)) a)
(* -2 c)
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(* 2 (pow b 2))
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(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
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(* -4 (* a c))
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(* 2 (pow b 2))
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(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c)
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c)
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) 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))
(* 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))))
(* -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)))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ (* 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)
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 c) c) (*.f64 (*.f64 b b) b))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (*.f64 (*.f64 b b) b))) a (/.f64 (neg.f64 c) b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
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(* 1/2 (/ a b))
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 a b))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c)))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c)) b) (neg.f64 c))) (neg.f64 c))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a)) b) (neg.f64 a))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a c))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a c)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a c)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64)))) b)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 2 binary64)))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 2 binary64)))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64))) (neg.f64 b))

rewrite278.0ms (2.3%)

Memory
6.2MiB live, 316.3MiB allocated
Rules
5 036×lower-fma.f32
5 034×lower-/.f32
5 030×lower-fma.f64
5 014×lower-/.f64
4 524×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051290
079290
1270285
22008274
09053274
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 053
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) a)
#s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(/.f64 b c)
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))
(fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
Outputs
(*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 #s(literal -1/2 binary64) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
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(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 c a)) #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a))))) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b))
(fma.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 b))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b))) (neg.f64 b))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 c a)) #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a))))) (neg.f64 b))
(fma.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 c a)) #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 c a)) #s(literal -64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a))))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (neg.f64 b))
(fma.f64 (neg.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (neg.f64 b))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 (neg.f64 b) b))) (neg.f64 b))
(fma.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 b))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))
(-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (/.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
(-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -4 binary64)) a)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (/.f64 (*.f64 b b) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) (/.f64 (*.f64 (*.f64 b b) b) (+.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))))
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (*.f64 b b) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 0 binary64)) b)
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)
(+.f64 (neg.f64 b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (neg.f64 b))

eval489.0ms (4%)

Memory
26.7MiB live, 554.5MiB allocated
Compiler

Compiled 78 240 to 6 073 computations (92.2% saved)

prune529.0ms (4.4%)

Memory
-25.8MiB live, 809.8MiB allocated
Pruning

43 alts after pruning (39 fresh and 4 done)

PrunedKeptTotal
New2 185172 202
Fresh82230
Picked325
Done022
Total2 196432 239
Accuracy
91.7%
Counts
2 239 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
50.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
37.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
31.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
25.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
33.1%
(/.f64 #s(approx (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
52.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) a))
31.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) a))
50.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64))) a))
24.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) a))
37.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1/2 binary64) b)) a))
32.6%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
2.7%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) #s(approx (+ (* (/ b c) -1/2) (* (/ a b) 1/2)) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
52.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b))
53.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
31.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
48.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64))) b))
12.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
27.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
23.5%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
12.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
23.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64)))
13.9%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
14.0%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 b c))))
19.5%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
33.2%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
32.3%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
33.1%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 c)))
26.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
24.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
37.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
37.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
37.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
17.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
2.6%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) c) #s(literal 1/2 binary64))) c))
6.7%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) b) c) #s(literal -1/2 binary64))) (*.f64 a a)))
2.3%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
6.2%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)))) (*.f64 (*.f64 b b) b)))
13.4%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
12.9%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)))
Compiler

Compiled 1 505 to 952 computations (36.7% saved)

simplify210.0ms (1.7%)

Memory
-4.1MiB live, 159.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff320
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64)))
cost-diff640
(/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))
cost-diff1024
(*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a)
cost-diff1088
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) c)
cost-diff0
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
cost-diff64
(fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 b b))
cost-diff192
(+.f64 #s(literal 0 binary64) b)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
cost-diff0
(/.f64 b a)
cost-diff0
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff128
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b))
Rules
10 480×lower-fma.f32
10 472×lower-fma.f64
5 104×lower-*.f32
5 082×lower-*.f64
1 654×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070557
0109539
1214523
2525495
31487439
45472419
08507408
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
b
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b a)
b
a
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
(-.f64 #s(literal 0 binary64) (*.f64 b b))
#s(literal 0 binary64)
(*.f64 b b)
b
(+.f64 #s(literal 0 binary64) b)
a
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(literal 1/2 binary64)
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
b
(/.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
(/.f64 a b)
a
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64))))
#s(literal 1/2 binary64)
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b)))
(/.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
(/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))
(*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a)
(*.f64 (/.f64 b a) #s(literal 3 binary64))
(/.f64 b a)
a
#s(literal 3 binary64)
(*.f64 b b)
c
(*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(*.f64 (*.f64 b b) b)
(*.f64 a a)
#s(literal -1/2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) a)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) b)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) c)
c
#s(literal -4 binary64)
(*.f64 b b)
b
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/.f64 b a)
b
a
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)
(/.f64 (neg.f64 b) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
(neg.f64 b)
(-.f64 #s(literal 0 binary64) (*.f64 b b))
(*.f64 (neg.f64 b) b)
#s(literal 0 binary64)
(*.f64 b b)
b
(+.f64 #s(literal 0 binary64) b)
b
a
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b)))))
#s(literal 1/2 binary64)
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b)))
b
(/.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
(/.f64 a b)
a
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 b a) (fma.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) c)) (*.f64 (*.f64 (/.f64 c (neg.f64 b)) #s(literal 1/2 binary64)) c)) c))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)
(/.f64 (fma.f64 (/.f64 b a) (fma.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) c)) (*.f64 (*.f64 (/.f64 c (neg.f64 b)) #s(literal 1/2 binary64)) c)) c)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 b a) (fma.f64 (*.f64 (/.f64 b a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) c)) (*.f64 (*.f64 (/.f64 c (neg.f64 b)) #s(literal 1/2 binary64)) c))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 3/2 binary64) a) b (*.f64 (/.f64 c (neg.f64 b)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 3 binary64) a) b (/.f64 c (neg.f64 b)))
(-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b)))
(-.f64 (/.f64 #s(literal -3 binary64) b) (/.f64 #s(literal -2 binary64) b))
(/.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
(/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))
(/.f64 #s(literal 3 binary64) b)
(*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a)
(*.f64 #s(literal 3 binary64) b)
(*.f64 (/.f64 b a) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 b a))
(/.f64 b a)
a
#s(literal 3 binary64)
(*.f64 b b)
c
(*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 b (*.f64 a a)) #s(literal -1/2 binary64)) b) b)
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(*.f64 (*.f64 (/.f64 b (*.f64 a a)) b) b)
(*.f64 (*.f64 b b) b)
(*.f64 a a)
#s(literal -1/2 binary64)

localize441.0ms (3.6%)

Memory
11.2MiB live, 648.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy6.5287332595835235
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
accuracy7.9981246922816585
(*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a)
accuracy19.63542345935644
(/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))
accuracy26.129458677027003
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
accuracy0
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
accuracy0.08984375
(fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
accuracy0.581683204579439
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
accuracy27.46282446859426
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
accuracy0
(+.f64 #s(literal 0 binary64) b)
accuracy0
(*.f64 b b)
accuracy19.52053660851998
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
accuracy25.94135379512259
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
accuracy0
(/.f64 b a)
accuracy0.00390625
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
accuracy24.230540884698055
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
accuracy0.4604253361069211
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
accuracy2.3142207852501016
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b))
accuracy7.072751715123065
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)
accuracy14.415944916694885
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
Samples
188.0ms93×5exit
78.0ms114×0valid
39.0ms22×2valid
21.0ms23×1valid
7.0ms3valid
Compiler

Compiled 492 to 70 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-mult: 85.0ms (33.5% of total)
adjust: 67.0ms (26.4% of total)
ival-div: 46.0ms (18.1% of total)
ival-add: 24.0ms (9.4% of total)
ival-sub: 19.0ms (7.5% of total)
ival-sqrt: 9.0ms (3.5% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series126.0ms (1%)

Memory
14.8MiB live, 168.9MiB allocated
Counts
25 → 684
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) b) (patch (+.f64 #s(literal 0 binary64) b) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 b b)) (patch (-.f64 #s(literal 0 binary64) (*.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) (patch (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) c) (patch (/.f64 #s(literal -1/2 binary64) c) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64))) (patch (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (patch (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) (patch (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)) #<representation binary64>) () ())) ())
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#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor 0 b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) (taylor 0 b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) (taylor 0 b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) (taylor 0 b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow b 3) (* (pow a 2) c))) (taylor inf b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) (taylor inf b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))) (taylor inf b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c))))) (taylor inf b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ b a)) (taylor -inf b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))) (taylor -inf b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))) (taylor -inf b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))) (taylor -inf b) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (pow b 3) (* (pow a 2) c))) (taylor 0 c) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c) (taylor 0 c) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) (taylor inf a) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) (taylor inf a) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a)) (taylor -inf a) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a)) (taylor -inf a) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a)) (taylor -inf a) (#s(alt #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) (patch #s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor 0 b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 3) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) (patch (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #<representation binary64>) () ())) ())
Calls

171 calls:

TimeVariablePointExpression
14.0ms
c
@0
(+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2))
4.0ms
b
@-inf
(+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2))
1.0ms
b
@0
(sqrt (/ 1 (+ (* (* c -4) a) (* b b))))
1.0ms
c
@inf
(sqrt (/ 1 (+ (* (* c -4) a) (* b b))))
1.0ms
a
@inf
(sqrt (/ 1 (+ (* (* c -4) a) (* b b))))

simplify287.0ms (2.4%)

Memory
14.9MiB live, 358.8MiB allocated
Algorithm
egg-herbie
Rules
8 368×lower-*.f64
8 368×lower-*.f32
6 730×lower-fma.f64
6 730×lower-fma.f32
4 296×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158414868
1518414335
0904013793
Stop Event
iter limit
node limit
Counts
684 → 669
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ 1/2 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)
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
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(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
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(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
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)))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
(+ b (* -2 (/ (* a c) b)))
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(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c)
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c)
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
b
b
b
b
b
b
b
b
b
b
b
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(* -1/2 (/ b c))
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(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))))) c)
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a))))) (/ (pow a 2) (pow b 3)))))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)
(/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c)
(/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ b (pow (sqrt -4) 2))))))) c)
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(* -1/2 (/ b c))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
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(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(/ -1/2 c)
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(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
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(/ (+ (* -1 c) (* 3 (/ (pow b 2) a))) b)
(/ (+ (* -1 c) (* 3 (/ (pow b 2) a))) b)
(/ (+ (* -1 c) (* 3 (/ (pow b 2) a))) b)
(* 3 (/ b a))
(* b (+ (* -1 (/ c (pow b 2))) (* 3 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (* 3 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (* 3 (/ 1 a))))
(* 3 (/ b a))
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(/ (+ (* -1 (/ (* a c) b)) (* 3 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (* 3 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (* 3 b)) a)
(* -1 (/ c b))
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(+ (* -1 (/ c b)) (* 3 (/ b a)))
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(+ (* -1 (/ c b)) (* 3 (/ b a)))
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(+ (* -1 (/ c b)) (* 3 (/ b a)))
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(* -1 (* c (+ (* -3 (/ b (* a c))) (/ 1 b))))
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(* 3 b)
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(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
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(* 3 b)
(* 3 b)
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(/ 3 b)
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(* -1/2 (/ (pow c 2) b))
(/ (+ (* -1/2 (pow c 2)) (* 3/2 (/ (* (pow b 2) c) a))) b)
(/ (+ (* -1/2 (pow c 2)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 3/2 (/ c a))))) b)
(/ (+ (* -1/2 (pow c 2)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 3/2 (/ c a))))) b)
(* -1/2 (/ (pow b 3) (pow a 2)))
(* (pow b 3) (- (* 3/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 3) (- (+ (* -1/2 (/ (pow c 2) (pow b 4))) (* 3/2 (/ c (* a (pow b 2))))) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 3) (- (+ (* -1/2 (/ (pow c 2) (pow b 4))) (* 3/2 (/ c (* a (pow b 2))))) (* 1/2 (/ 1 (pow a 2)))))
(* -1/2 (/ (pow b 3) (pow a 2)))
(* -1 (* (pow b 3) (+ (* -3/2 (/ c (* a (pow b 2)))) (* 1/2 (/ 1 (pow a 2))))))
(* -1 (* (pow b 3) (+ (* -3/2 (/ c (* a (pow b 2)))) (+ (* 1/2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ 1 (pow a 2)))))))
(* -1 (* (pow b 3) (+ (* -3/2 (/ c (* a (pow b 2)))) (+ (* 1/2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ 1 (pow a 2)))))))
(* -1/2 (/ (pow b 3) (pow a 2)))
(/ (+ (* -1/2 (pow b 3)) (* 3/2 (* a (* b c)))) (pow a 2))
(/ (+ (* -1/2 (pow b 3)) (* a (+ (* -1/2 (/ (* a (pow c 2)) b)) (* 3/2 (* b c))))) (pow a 2))
(/ (+ (* -1/2 (pow b 3)) (* a (+ (* -1/2 (/ (* a (pow c 2)) b)) (* 3/2 (* b c))))) (pow a 2))
(* -1/2 (/ (pow c 2) b))
(+ (* -1/2 (/ (pow c 2) b)) (* 3/2 (/ (* b c) a)))
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(+ (* -1/2 (/ (pow b 3) (pow a 2))) (+ (* -1/2 (/ (pow c 2) b)) (* 3/2 (/ (* b c) a))))
(* -1/2 (/ (pow c 2) b))
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(* -1/2 (/ (pow b 3) (pow a 2)))
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(+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (/ c b)) (* 3/2 (/ b a)))))
(* -1/2 (/ (pow c 2) b))
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
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(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
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(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a 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)
(pow b 2)
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
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(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* 1/2 (* c (- (* 2 (/ b a)) (* -1 (/ b a)))))) c)
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (* c (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a))))))) c)
(/ (+ (* -1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (* -1 (/ b a)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (+ (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 4))) (/ (* a (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2)))) (pow b 2)))))) (* 1/2 (- (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (* -1 (/ b a)))) (pow b 2))))))))) c)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* 1/2 (* a (- (* 2 b) (* -1 b))))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* -1/2 (* a (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))) (* 1/2 (- (* 2 b) (* -1 b)))))) (pow a 2))
(/ (+ (* -1/2 (/ (pow b 3) c)) (* a (+ (* 1/2 (- (* 2 b) (* -1 b))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2)))) (pow b 2))) (+ (* -1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1 b))) (pow b 4))))))) (* -1/2 (+ (* -2 (/ c b)) (/ (* c (- (* 2 b) (* -1 b))) (pow b 2))))))))) (pow a 2))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
(/ (pow b 3) (pow a 2))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 c) c) (*.f64 (*.f64 b b) b))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (*.f64 (*.f64 b b) b))) a (/.f64 (neg.f64 c) b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) a)))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (*.f64 a b))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1 binary64) b)) c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64)))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64))))) c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 a c)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) b (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c))))) #s(literal -1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) b (/.f64 #s(literal -1/2 binary64) a)) b (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c)) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (-.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) #s(literal -1/4 binary64))) c)) b)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(*.f64 (neg.f64 b) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b)))))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -4 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c)
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(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 a b) #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))))) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 a b) #s(literal -4 binary64)) #s(literal -4 binary64))) a) #s(literal 1/2 binary64)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 a b) #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))))) (*.f64 a a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 b (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 a b) #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 a b) #s(literal -4 binary64)) #s(literal -4 binary64)))) c))) (*.f64 (*.f64 a a) a)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 a b) #s(literal -4 binary64)) #s(literal -4 binary64))) a) #s(literal 1/2 binary64))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (neg.f64 b) a)) a) #s(literal 1/2 binary64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (neg.f64 b) a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) a))) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (neg.f64 b) a)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) a) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (neg.f64 b) a))) c) #s(literal -1/8 binary64))) a) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 a))) a))) (neg.f64 a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
(/ (pow b 3) (pow a 2))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))

rewrite242.0ms (2%)

Memory
-16.8MiB live, 229.1MiB allocated
Rules
3 968×lower-*.f32
3 946×lower-*.f64
3 766×lower-fma.f32
3 758×lower-fma.f64
2 548×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070394
0109379
1482342
24429311
08902311
Stop Event
iter limit
node limit
iter limit
Counts
25 → 800
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
(+.f64 #s(literal 0 binary64) b)
(-.f64 #s(literal 0 binary64) (*.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) c)
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a)
(/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(*.f64 b b)
(*.f64 (/.f64 a b) #s(literal 1/2 binary64))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a))
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 a)) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) a)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))
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(/.f64 (*.f64 b b) (*.f64 a (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b (*.f64 b (/.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 a (*.f64 (*.f64 b b) b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a (*.f64 (*.f64 b b) b))))
(neg.f64 (*.f64 (/.f64 b (*.f64 a a)) (*.f64 b b)))
(exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 a (*.f64 (*.f64 b b) b)))) #s(literal -1 binary64)))

eval431.0ms (3.6%)

Memory
30.9MiB live, 447.4MiB allocated
Compiler

Compiled 56 080 to 5 464 computations (90.3% saved)

prune515.0ms (4.3%)

Memory
-14.7MiB live, 567.9MiB allocated
Pruning

47 alts after pruning (42 fresh and 5 done)

PrunedKeptTotal
New1 756131 769
Fresh52934
Picked415
Done044
Total1 765471 812
Accuracy
92.9%
Counts
1 812 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
50.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
37.0%
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
31.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
33.1%
(/.f64 #s(approx (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
52.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) a))
31.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) a))
50.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64))) a))
24.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) a))
37.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1/2 binary64) b)) a))
32.6%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
2.7%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) #s(approx (+ (* (/ b c) -1/2) (* (/ a b) 1/2)) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
20.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* c -4) a) (* b b))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a)))) b))
28.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* c -4) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) b))
53.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
31.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
48.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64))) b))
12.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (* c -4) a) (* b b))))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
27.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
23.5%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
12.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
23.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64)))
13.9%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b))) #s(literal 2 binary64))) #s(literal -1 binary64)))
14.0%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 b c))))
19.5%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
33.2%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
32.3%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
33.1%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 c)))
26.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))
2.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
37.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) a))
24.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
37.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
2.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
37.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
36.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
37.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
6.7%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) b) c) #s(literal -1/2 binary64))) (*.f64 a a)))
6.7%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 b (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 b a)))) b) c (*.f64 #s(literal -3 binary64) (/.f64 b a))))) c))
1.4%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
2.3%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
3.8%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2)) (fma.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64)))) c))
13.8%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2)) (*.f64 (/.f64 (*.f64 c c) b) #s(literal -1/2 binary64))) c))
6.2%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)))) (*.f64 (*.f64 b b) b)))
12.9%
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)))
Compiler

Compiled 2 229 to 897 computations (59.8% saved)

regimes104.0ms (0.9%)

Memory
-9.7MiB live, 200.6MiB allocated
Counts
79 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) #s(approx (+ (* (/ b c) -1/2) (* (/ a b) 1/2)) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1/2 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2)) (*.f64 (/.f64 (*.f64 c c) b) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (* c -4) a) (* b b))))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -2 binary64) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)))))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(approx (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) a))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b c)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 b c))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* c -4) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) b) c) #s(literal -1/2 binary64))) (*.f64 a a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2)) (fma.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 (*.f64 b (/.f64 c a)) #s(literal 3/2 binary64)))) c))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) c) #s(literal 1/2 binary64))) c))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* c -4) a) (* b b))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a)))) b))
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 b (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (*.f64 c #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 a (/.f64 (*.f64 #s(literal 3 binary64) b) (*.f64 b a)))) b) c (*.f64 #s(literal -3 binary64) (/.f64 b a))))) c))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b) #s(literal 3 binary64)) a) (*.f64 b b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) c)))) (*.f64 (*.f64 b b) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64))) b))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) a))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 #s(literal -1/2 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) c) b))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64))) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) a) (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c (*.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 a a)) #s(literal -1/2 binary64))) c))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

29.0ms
c
24.0ms
a
22.0ms
b
22.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
55.3%2a
86.7%3b
53.4%1c
74.5%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes16.0ms (0.1%)

Memory
-25.6MiB live, 52.1MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) #s(approx (+ (* (/ b c) -1/2) (* (/ a b) 1/2)) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1/2 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2)) (*.f64 (/.f64 (*.f64 c c) b) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (* c -4) a) (* b b))))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -2 binary64) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)))))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(approx (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
86.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory
2.1MiB live, 43.2MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) #s(approx (+ (* (/ b c) -1/2) (* (/ a b) 1/2)) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1/2 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2)) (*.f64 (/.f64 (*.f64 c c) b) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (* c -4) a) (* b b))))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -2 binary64) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 b (/.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (fma.f64 (/.f64 b c) #s(literal -1/2 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)))))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
82.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory
1.1MiB live, 39.6MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) #s(approx (+ (* (/ b c) -1/2) (* (/ a b) 1/2)) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1/2 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2)) (*.f64 (/.f64 (*.f64 c c) b) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* (* c -4) a) (* b b))))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
82.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory
19.6MiB live, 58.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) #s(approx (+ (* (/ b c) -1/2) (* (/ a b) 1/2)) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) a) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1/2 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b c)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))
#s(approx (/ (* (+ (* b b) (+ (* (* -4 c) a) (* b b))) (/ 1/2 a)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 #s(approx (+ (* (* 1/2 (+ (* (- (/ 2 b) (/ (* (* (/ b a) 3) a) (* b b))) c) (* (/ b a) 3))) c) (* (/ (* (* b b) b) (* a a)) -1/2)) (*.f64 (/.f64 (*.f64 c c) b) #s(literal -1/2 binary64))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

9.0ms
b
8.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
49.5%3(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
68.1%2b
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
-11.1MiB live, 27.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
Calls

4 calls:

3.0ms
a
2.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
2.0ms
c
2.0ms
b
Results
AccuracySegmentsBranch
37.2%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
37.2%1c
37.2%1a
37.2%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory
-18.1MiB live, 23.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

4.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
1.0ms
b
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
2.7%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
2.7%1a
2.7%1c
2.7%1b
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch50.0ms (0.4%)

Memory
34.9MiB live, 150.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
30.0ms
1.49165951806479e-51
2.401450876786915e-32
14.0ms
-6.842623911921472e+155
-6.319344595224211e+152
Samples
17.0ms194×0valid
6.0ms45×1valid
6.0ms33×2valid
4.0ms30×0invalid
Compiler

Compiled 533 to 377 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (42.3% of total)
ival-div: 3.0ms (12.7% of total)
ival-sqrt: 3.0ms (12.7% of total)
adjust: 2.0ms (8.5% of total)
ival-sub: 2.0ms (8.5% of total)
ival-add: 2.0ms (8.5% of total)
ival-neg: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
-15.6MiB live, 63.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.49165951806479e-51
2.401450876786915e-32
23.0ms
-2.6766851495418673e+75
-1.973081037983175e+66
Samples
17.0ms144×0valid
0.0ms0invalid
Compiler

Compiled 618 to 408 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.3% of total)
ival-neg: 5.0ms (37.3% of total)
ival-div: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-sub: 1.0ms (7.5% of total)
ival-sqrt: 1.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
-9.6MiB live, 67.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.49165951806479e-51
2.401450876786915e-32
20.0ms
-4.4269987748381955e-53
-7.211273300650873e-59
Samples
12.0ms144×0valid
2.0ms20×0invalid
Compiler

Compiled 599 to 408 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.7% of total)
ival-div: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
ival-sub: 1.0ms (11.4% of total)
ival-sqrt: 1.0ms (11.4% of total)
ival-neg: 1.0ms (11.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
5.9MiB live, 48.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.49165951806479e-51
2.401450876786915e-32
23.0ms
-4.4269987748381955e-53
-7.211273300650873e-59
Samples
18.0ms96×0valid
1.0ms10×0invalid
Compiler

Compiled 580 to 389 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (51.1% of total)
ival-div: 1.0ms (17% of total)
ival-add: 1.0ms (17% of total)
ival-sqrt: 1.0ms (17% of total)
ival-neg: 1.0ms (17% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory
-3.0MiB live, 71.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
3.7262349076146117e-299
1.8847555163882355e-290
Samples
13.0ms144×0valid
5.0ms60×0invalid
Compiler

Compiled 185 to 128 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48.8% of total)
ival-div: 1.0ms (8.1% of total)
ival-add: 1.0ms (8.1% of total)
ival-sub: 1.0ms (8.1% of total)
ival-sqrt: 1.0ms (8.1% of total)
ival-neg: 1.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
3.4MiB live, 37.8MiB allocated
Algorithm
egg-herbie
Rules
36×*-commutative_binary64
28×+-commutative_binary64
24×sub-neg_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077397
1107395
2137395
3151395
4159395
5161395
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2599999999999999849176882165325874089671940668047681569937955535998762876928 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6890703552635699/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -565391060729083/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal 4602094425247529/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
Outputs
(if (<=.f64 b #s(literal -649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2599999999999999849176882165325874089671940668047681569937955535998762876928 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2599999999999999849176882165325874089671940668047681569937955535998762876928 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6890703552635699/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6890703552635699/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -565391060729083/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -565391060729083/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (/.f64 c (*.f64 b b)) b) (/.f64 b a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal 4602094425247529/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))

soundness723.0ms (6%)

Memory
21.4MiB live, 656.8MiB allocated
Rules
11 458×lower-fma.f64
11 458×lower-fma.f32
7 766×lower-*.f64
7 766×lower-*.f32
7 440×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453273
117383232
260833204
082433047
041252
063221
1229213
21811213
08624213
070394
0109379
1482342
24429311
08902311
0117513910
1397513571
0838413051
01451
02351
17649
253648
3686448
0815844
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 441 to 203 computations (54% saved)

preprocess88.0ms (0.7%)

Memory
9.3MiB live, 133.5MiB allocated
Compiler

Compiled 482 to 188 computations (61% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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