Quadratic roots, narrow range

Time bar (total: 10.5s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze302.0ms (2.9%)

Memory
2.6MiB live, 716.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
2.3%0%0%100%0%0%0%8
11.3%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
28%0%0%100%0%0%0%11
40.1%0%0%100%0%0%0%12
Compiler

Compiled 41 to 28 computations (31.7% saved)

sample2.3s (21.7%)

Memory
57.8MiB live, 4 778.5MiB allocated
Samples
826.0ms5 578×0valid
576.0ms2 678×1valid
205.0ms1 392×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 337.0ms (26.9% of total)
ival-mult: 272.0ms (21.7% of total)
ival-<: 151.0ms (12.1% of total)
ival-div: 91.0ms (7.3% of total)
ival-sqrt: 91.0ms (7.3% of total)
adjust: 69.0ms (5.5% of total)
ival-add: 67.0ms (5.4% of total)
ival-sub: 66.0ms (5.3% of total)
ival-neg: 55.0ms (4.4% of total)
ival-and: 39.0ms (3.1% of total)
exact: 11.0ms (0.9% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain242.0ms (2.3%)

Memory
-21.8MiB live, 340.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2274(4.73916514952194e-6 260.78718477231337 48569106.76399936)4(2.851291648477909 41.02536233298988 4.698016991171048)(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
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
00-0-(/.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))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation2277
Confusion
Predicted +Predicted -
+2255
-224
Precision
0.9911894273127754
Recall
0.9782608695652174
Confusion?
Predicted +Predicted MaybePredicted -
+22550
-2222
Precision?
0.9829059829059829
Recall?
1.0
Freqs
test
numberfreq
029
1227
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
111.0ms352×0valid
27.0ms160×1valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 13.0ms (35.5% of total)
ival-div: 5.0ms (13.7% of total)
ival-sqrt: 5.0ms (13.7% of total)
adjust: 3.0ms (8.2% of total)
ival-add: 3.0ms (8.2% of total)
ival-sub: 3.0ms (8.2% of total)
ival-neg: 2.0ms (5.5% of total)
ival-true: 1.0ms (2.7% of total)
exact: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess129.0ms (1.2%)

Memory
31.5MiB live, 105.5MiB 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 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(/.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 17 to 14 computations (17.6% saved)

simplify76.0ms (0.7%)

Memory
0.0MiB live, 37.4MiB 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)

localize60.0ms (0.6%)

Memory
9.0MiB live, 89.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy0.2265625
(/.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))
accuracy0.244472509768442
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy28.28273195122037
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Samples
27.0ms176×0valid
23.0ms80×1valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sqrt: 13.0ms (37.9% of total)
ival-mult: 12.0ms (34.9% of total)
ival-div: 2.0ms (5.8% of total)
adjust: 2.0ms (5.8% of total)
ival-add: 2.0ms (5.8% of total)
ival-sub: 2.0ms (5.8% of total)
ival-neg: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-12.3MiB live, 62.3MiB 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 (* -2 (/ (* a c) b)) (taylor 0 c) (#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 (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#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 (* 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 (+.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 (* 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)))))))) (taylor 0 c) (#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 (pow b 2) (taylor 0 c) (#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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#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 (* -1 (/ c b)) (taylor 0 c) (#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 (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#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 (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#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 (* 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 (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 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 (+.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 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#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 (* 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 (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 (* 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 (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 (* a c)) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#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 (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#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>) () ())) ())
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#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 (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 (+ (* -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 (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 (* (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 (+.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 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ 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>) () ())) ())
#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 (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 (* 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 (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 (* a c)) (taylor -inf a) (#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 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#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 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#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 (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#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 (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#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 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#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 (+ (* -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 (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 (+ (* -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 (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 (* -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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
c
@0
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
4.0ms
a
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
c
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
b
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms
a
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify222.0ms (2.1%)

Memory
-1.2MiB live, 208.5MiB 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
260703204
082353047
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* -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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -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)))
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 (/ 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)))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (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)))))))
(* (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 (+ (* 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))
(* -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 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 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)))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* 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 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)))))))))
(* -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)
(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)))))
(* -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)
(* -1 b)
(* -1 b)
(* -1 b)
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)))))))
(* -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))))))))
(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)))))
(* -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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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 (/ (* 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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
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 (/ 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)))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 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))))))
(* (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 (+ (* 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))))))
(* -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))))
(* -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)))
(* -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))))))))
Outputs
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))
(* 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 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 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 #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 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))
(* 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 #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) 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 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)) 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 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) 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 (/ 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 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #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 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c)
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 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 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))))) c)
(* (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 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.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 (+ (* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.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 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.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))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) 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 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 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))))))
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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))))))))
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(* a (- (/ (pow b 2) a) (* 4 c)))
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(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)
(* a (- (/ (pow b 2) a) (* 4 c)))
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b 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 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.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)))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.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 (+ (* 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))))))
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(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
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(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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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))))))
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(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
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(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.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 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (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 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite146.0ms (1.4%)

Memory
-8.9MiB live, 225.2MiB 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
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eval87.0ms (0.8%)

Memory
-1.3MiB live, 192.5MiB allocated
Compiler

Compiled 18 694 to 2 137 computations (88.6% saved)

prune64.0ms (0.6%)

Memory
-7.4MiB live, 126.3MiB allocated
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New55637593
Fresh000
Picked101
Done000
Total55737594
Accuracy
98.9%
Counts
594 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
54.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
54.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
55.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
55.1%
(/.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))
55.0%
(/.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))
55.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
36.8%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
55.5%
(/.f64 (*.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (pow.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))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) a))
55.1%
(/.f64 (*.f64 (-.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)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) a))
90.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.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)) (*.f64 #s(literal 2 binary64) a))
88.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
82.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
91.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.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 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
88.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
88.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) #s(literal -2 binary64))) a)) (*.f64 #s(literal 2 binary64) a))
64.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
82.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
82.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)))
55.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
55.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
54.8%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
55.5%
(*.f64 (/.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 #s(literal 2 binary64) a)) (/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))
55.5%
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (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))
55.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
55.1%
(*.f64 (-.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
91.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
88.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
91.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.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)))) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)))) b))
88.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b))
64.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
88.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
82.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
82.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)))))
Compiler

Compiled 2 118 to 1 344 computations (36.5% saved)

simplify151.0ms (1.4%)

Memory
30.0MiB live, 183.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a #s(literal -2 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
cost-diff6272
(fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
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
(pow.f64 a #s(literal -1 binary64))
cost-diff6848
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
cost-diff0
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
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))) (*.f64 #s(literal 2 binary64) a))
cost-diff1024
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 (neg.f64 c) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
cost-diff320
(fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
cost-diff704
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b))
Rules
12 068×lower-fma.f32
12 056×lower-fma.f64
5 256×lower-*.f32
5 240×lower-*.f64
2 024×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059540
099542
1174536
2381528
31049514
42812514
57325514
08236507
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(*.f64 #s(literal -1/4 binary64) a)
#s(literal -1/4 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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 #s(literal 20 binary64) b)
#s(literal 20 binary64)
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -2 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(neg.f64 c)
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(/.f64 (neg.f64 c) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(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)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal 2 binary64) a))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(/.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) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
(*.f64 a #s(literal -2 binary64))
a
#s(literal -2 binary64)
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))
(pow.f64 c #s(literal 3 binary64))
c
#s(literal 3 binary64)
(pow.f64 b #s(literal 5 binary64))
b
#s(literal 5 binary64)
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(neg.f64 c)
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(/.f64 (neg.f64 c) b)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) a (/.f64 (neg.f64 c) b)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))) a (/.f64 (neg.f64 c) b))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c)))
(fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))
(*.f64 #s(literal -1/4 binary64) a)
#s(literal -1/4 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 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 #s(literal 20 binary64) b)
#s(literal 20 binary64)
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64)))
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -2 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))
(neg.f64 c)
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(/.f64 (neg.f64 c) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.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 (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) (sqrt.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)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal 2 binary64) a))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(/.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) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) a) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
(fma.f64 (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) a) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
(*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) a) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))))
(*.f64 a #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) a)
a
#s(literal -2 binary64)
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))
(pow.f64 c #s(literal 3 binary64))
c
#s(literal 3 binary64)
(pow.f64 b #s(literal 5 binary64))
b
#s(literal 5 binary64)
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (neg.f64 c))
(neg.f64 c)
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
(/.f64 (neg.f64 c) b)

localize266.0ms (2.5%)

Memory
2.4MiB live, 317.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.25
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
accuracy0.26953125
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
accuracy0.375
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy7.197361043782218
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
accuracy0.25228500976844204
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy0.2734375
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
accuracy0.3671875
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
accuracy28.28273195122037
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
accuracy0.09765625
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.21875
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
accuracy0.25228500976844204
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy28.42105631787705
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
accuracy0
(/.f64 (neg.f64 c) b)
accuracy0
(neg.f64 c)
accuracy22.668042392299625
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy0.3515625
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b))
accuracy0.375
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy0.38509750976844204
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
accuracy5.4729271661054035
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
Samples
106.0ms102×1valid
100.0ms154×0valid
Compiler

Compiled 488 to 62 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-mult: 49.0ms (29.2% of total)
ival-pow: 42.0ms (25% of total)
ival-div: 23.0ms (13.7% of total)
ival-sub: 19.0ms (11.3% of total)
adjust: 12.0ms (7.2% of total)
ival-add: 11.0ms (6.6% of total)
ival-sqrt: 5.0ms (3% of total)
ival-neg: 5.0ms (3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series151.0ms (1.4%)

Memory
-21.7MiB live, 222.4MiB allocated
Counts
24 → 708
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #<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 (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 (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.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 (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<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 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (patch (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())
#s(alt (*.f64 a #s(literal -2 binary64)) (patch (*.f64 a #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 c (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 c (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (patch (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (* 20 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 20 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 20 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 20 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) 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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) 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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) 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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) 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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#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>) () ())) ())
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#s(alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#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>) () ())) ())
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#s(alt (* -2 (/ (* a (pow c 3)) (pow b 5))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (patch (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -2 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal -2 binary64)) (patch (*.f64 a #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal -2 binary64)) (patch (*.f64 a #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal -2 binary64)) (patch (*.f64 a #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 a) (taylor -inf a) (#s(alt (*.f64 a #s(literal -2 binary64)) (patch (*.f64 a #s(literal -2 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
26.0ms
c
@0
((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (* a -2) (/ (pow c 4) (pow b 6)) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 3) (pow b 5)) (/ c (pow b 3)) (* (neg c) (/ c (pow b 3))))
24.0ms
c
@-inf
((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (* a -2) (/ (pow c 4) (pow b 6)) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 3) (pow b 5)) (/ c (pow b 3)) (* (neg c) (/ c (pow b 3))))
13.0ms
b
@0
((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (* a -2) (/ (pow c 4) (pow b 6)) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 3) (pow b 5)) (/ c (pow b 3)) (* (neg c) (/ c (pow b 3))))
10.0ms
c
@inf
((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (* a -2) (/ (pow c 4) (pow b 6)) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 3) (pow b 5)) (/ c (pow b 3)) (* (neg c) (/ c (pow b 3))))
10.0ms
b
@inf
((* (/ (pow c 4) (pow b 6)) (/ 20 b)) (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (* a -2) (/ (pow c 4) (pow b 6)) (/ (* (pow c 3) -2) (pow b 5)) (/ (pow c 3) (pow b 5)) (/ c (pow b 3)) (* (neg c) (/ c (pow b 3))))

simplify203.0ms (1.9%)

Memory
10.5MiB live, 317.4MiB allocated
Algorithm
egg-herbie
Rules
7 182×lower-*.f64
7 182×lower-*.f32
6 938×lower-fma.f64
6 938×lower-fma.f32
4 502×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117613687
1388413352
0808012913
Stop Event
iter limit
node limit
Counts
708 → 705
Calls
Call 1
Inputs
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* -2 (/ (pow c 3) (pow b 5)))
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* -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 (/ 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 (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(* -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 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -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 (/ b a))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -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 (/ 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 (/ (* 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 (/ (pow c 2) (pow b 3)))
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* -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 (/ 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 (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* -5 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c)))))
(* 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)))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3)))))
(* 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 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))
(* 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))))) (* 1/2 (/ b (* a c)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* 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 (+ (* -1/16 (* (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))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 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)))))))
(* 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 (* 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 (/ (* a (pow c 3)) (pow b 5)))
(* (pow c 3) (- (* -2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))))
(* (pow c 3) (- (* -2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))))
(* (pow c 3) (- (* -2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c))))
(* 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)))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* -5 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c)))))
(* -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)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c))))
(* -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 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) 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 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -4 (* a c))
(* -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 (* (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 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* 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 (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c)))))
(* -1 (* (pow c 3) (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c)))))
(* -1 (* (pow c 3) (+ (* 2 (/ a (pow b 5))) (/ 1 (* (pow b 3) c)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* -5 (/ (* a (pow c 4)) (pow b 7)))
(/ (+ (* -5 (* a (pow c 4))) (* -2 (* (pow b 2) (pow c 3)))) (pow b 7))
(/ (+ (* -5 (* a (pow c 4))) (* -2 (* (pow b 2) (pow c 3)))) (pow b 7))
(/ (+ (* -5 (* a (pow c 4))) (* -2 (* (pow b 2) (pow c 3)))) (pow b 7))
(* 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)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7))
(* 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 b))
(* -1 (/ c b))
(* -1 (/ c 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)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (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)))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (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)))))
(+ (* 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)))))
(* 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 (* (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 (pow c 3)) (pow b 5)))
(/ (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))) (pow b 5))
(/ (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))) (pow b 5))
(/ (+ (* -2 (* a (pow c 3))) (* -1 (* (pow b 2) (pow c 2)))) (pow b 5))
(* 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)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* -2 (/ (pow c 3) (pow b 5)))
(/ (+ (* -5 (/ (* a (pow c 4)) (pow b 2))) (* -2 (pow c 3))) (pow b 5))
(/ (+ (* -5 (/ (* a (pow c 4)) (pow b 2))) (* -2 (pow c 3))) (pow b 5))
(/ (+ (* -5 (/ (* a (pow c 4)) (pow b 2))) (* -2 (pow c 3))) (pow b 5))
(* -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 (/ 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)
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b)
(* -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 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -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)
(* 1/2 (/ b a))
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
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)))))))
(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)))))
(* -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 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))))))
(* 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)
(* -1 (/ (pow c 2) (pow b 3)))
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3))
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3))
(/ (+ (* -2 (/ (* a (pow c 3)) (pow b 2))) (* -1 (pow c 2))) (pow b 3))
(* -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 (/ 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))))) b)
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -2 (/ (pow c 3) (pow b 5)))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* -1 (/ (pow c 2) (pow b 3)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* 20 (/ (pow c 4) (pow b 7)))
(* -2 (/ (pow c 3) (pow b 5)))
(* -1 (/ (+ (* 2 (pow c 3)) (* 5 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 2 (pow c 3)) (* 5 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 2 (pow c 3)) (* 5 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -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 (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) 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 (/ c b))
(* -1 (/ c 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 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 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))) (* 1/2 (/ 1 a)))))))
(* -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)
(* (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)))))
(* -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 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))
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b
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(pow b 2)
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(* (sqrt (* a c)) (sqrt -4))
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(* -4 (* a c))
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(/ 1 a)
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(* -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)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
Outputs
(* 20 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* -2 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)))
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)))
(* (pow c 3) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64)))
(* -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 (pow.f64 b #s(literal 3 binary64))) (/.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) (pow.f64 b #s(literal 3 binary64)))) 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 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -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 (pow.f64 b #s(literal 3 binary64))) (/.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) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -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 (pow.f64 b #s(literal 3 binary64))) (/.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) (pow.f64 b #s(literal 3 binary64)))) 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 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -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 (pow.f64 b #s(literal 3 binary64))) (/.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) (pow.f64 b #s(literal 3 binary64)))) 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 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* 1/2 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/2 binary64))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(fma.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c (*.f64 (/.f64 b a) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(fma.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) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c (*.f64 (/.f64 b a) #s(literal 1/2 binary64)))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b)
(+ 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) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
(* -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 (pow.f64 b #s(literal 3 binary64))) (/.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) (pow.f64 b #s(literal 3 binary64)))) 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 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ b (* a c)))
(/.f64 (neg.f64 b) (*.f64 a c))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) c)
(* 2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)
(* 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))))
(*.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 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)
(* -1 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))
(* (pow c 2) (- (* -2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))
(* -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 (pow.f64 b #s(literal 3 binary64))) (/.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) (pow.f64 b #s(literal 3 binary64)))) 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 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -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 (pow.f64 b #s(literal 3 binary64))) (/.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) (pow.f64 b #s(literal 3 binary64)))) c (/.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) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(/ (pow c 4) (pow b 6))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/ (pow c 4) (pow b 6))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/ (pow c 4) (pow b 6))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/ (pow c 4) (pow b 6))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(* -2 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/ (pow c 3) (pow b 5))
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/ (pow c 3) (pow b 5))
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/ (pow c 3) (pow b 5))
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/ (pow c 3) (pow b 5))
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 3))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(/ c (pow b 3))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(/ c (pow b 3))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(/ c (pow b 3))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))
(* -1 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))
(* 20 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* -5 (/ (* a (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) #s(literal -5 binary64)) (pow.f64 b #s(literal 7 binary64)))
(* (pow c 4) (- (* -5 (/ a (pow b 7))) (* 2 (/ 1 (* (pow b 5) c)))))
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(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) c) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/8 binary64)))) a) #s(literal -1 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (/.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)) b) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) a)) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64))))
(* -2 (/ (* a (pow c 3)) (pow b 5)))
(/.f64 (*.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -1 (* a (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 c a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))))
(* -1 (* a (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 c a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))))
(* -1 (* a (+ (* 2 (/ (pow c 3) (pow b 5))) (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 c a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 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 #s(literal -1/2 binary64) (/.f64 b a)) (*.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 a (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) a)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(*.f64 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 (neg.f64 c) c) (*.f64 (pow.f64 b #s(literal 3 binary64)) a))) (*.f64 a a))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))
(* -2 a)
(*.f64 a #s(literal -2 binary64))

rewrite214.0ms (2%)

Memory
35.1MiB live, 296.1MiB allocated
Rules
4 254×lower-/.f32
4 250×lower-*.f32
4 234×lower-*.f64
4 234×lower-/.f64
3 708×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059380
099374
1400360
23487354
09369354
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 008
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b))
(fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(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 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(pow.f64 a #s(literal -1 binary64))
(/.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))))
(fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b))
(*.f64 a #s(literal -2 binary64))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
Outputs
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eval389.0ms (3.7%)

Memory
11.6MiB live, 759.1MiB allocated
Compiler

Compiled 71 365 to 5 919 computations (91.7% saved)

prune161.0ms (1.5%)

Memory
-24.9MiB live, 334.4MiB allocated
Pruning

69 alts after pruning (67 fresh and 2 done)

PrunedKeptTotal
New2 130552 185
Fresh201232
Picked325
Done000
Total2 153692 222
Accuracy
99.4%
Counts
2 222 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
55.5%
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
55.9%
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
55.5%
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 a)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
56.4%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.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 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.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))))))))
56.2%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.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))) b)))))
55.7%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))))
56.6%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 b b (fma.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)))) #s(literal -1 binary64)))))
57.1%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
91.3%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) c)))
88.8%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) c)))
91.4%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)))
88.8%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 a) (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)))
82.9%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)))
82.9%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)))
82.9%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a c))) b)))
88.7%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (neg.f64 (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) b)))
57.1%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a)))
57.1%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 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)))
54.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
54.5%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
55.5%
(/.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))))))
55.1%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
54.9%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
57.1%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
54.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
54.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) a))
55.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
55.0%
(/.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))
55.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
36.8%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
56.6%
(/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 b b (fma.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))))))
57.1%
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
55.5%
(/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
55.5%
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
82.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
64.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
56.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (/.f64 b (*.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 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))))))
57.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
56.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b))))
55.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
55.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
54.2%
(-.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
54.9%
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.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 (pow.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal 2 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))))
54.8%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
55.0%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
54.8%
(-.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
54.7%
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
55.9%
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)))
57.1%
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (pow.f64 (*.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(literal -1 binary64)))
55.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
55.1%
(*.f64 (-.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
82.5%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
88.4%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b 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) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
82.3%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c))
82.4%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))))
90.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (/.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c)))) b)))
91.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
88.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 c) b)))
64.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
64.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
90.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))))
91.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 5 binary64) (*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)))) c) (neg.f64 b))))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)))
90.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) a) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) c)) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64)))))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) b)))) (pow.f64 c #s(literal 3 binary64)))))
Compiler

Compiled 3 892 to 2 463 computations (36.7% saved)

simplify133.0ms (1.3%)

Memory
17.0MiB live, 141.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff384
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
cost-diff896
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff6080
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
cost-diff6464
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
cost-diff320
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))
cost-diff320
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
cost-diff320
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)))
cost-diff3840
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a)
cost-diff640
(-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64))))
cost-diff640
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (neg.f64 b) c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
cost-diff128
(neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))))))
cost-diff320
(fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))
cost-diff320
(/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b))
cost-diff640
(fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))))
Rules
9 170×lower-fma.f32
9 158×lower-fma.f64
5 736×lower-*.f32
5 704×lower-*.f64
2 380×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0871062
01481050
12931032
2817949
34225931
08252913
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
#s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a))
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b))
(neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))))
(neg.f64 c)
c
(/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b))
(neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
(*.f64 b b)
(fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))
(/.f64 #s(literal -1/4 binary64) c)
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c)
(*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 20 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 c c))
#s(literal 2 binary64)
(*.f64 c c)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
(/.f64 b (neg.f64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
#s(literal 1 binary64)
(/.f64 (neg.f64 b) c)
(neg.f64 b)
b
c
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64))
(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)
b
#s(literal 1/2 binary64)
(*.f64 a (*.f64 b #s(literal 1/2 binary64)))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 a a)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
b
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.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
(*.f64 b b)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
#s(literal -2 binary64)
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.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
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 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 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (pow.f64 b #s(literal 4 binary64)) b)))) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (-.f64 (/.f64 a b) (/.f64 b c))) a)))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
#s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a))
#s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (*.f64 a a) (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (pow.f64 b #s(literal 4 binary64)) b)))) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (-.f64 (/.f64 a b) (/.f64 b c))) a))
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)
(/.f64 (fma.f64 (*.f64 a a) (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (pow.f64 b #s(literal 4 binary64)) b)))) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (-.f64 (/.f64 a b) (/.f64 b c))) a)
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c)))
(fma.f64 (*.f64 a a) (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (pow.f64 b #s(literal 4 binary64)) b)))) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (-.f64 (/.f64 a b) (/.f64 b c)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (pow.f64 b #s(literal 4 binary64)) b)))) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) b))
(neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (pow.f64 b #s(literal 4 binary64)) b)))) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (pow.f64 b #s(literal 4 binary64)) b)))) a (/.f64 (neg.f64 c) (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (pow.f64 b #s(literal 4 binary64)) b))))
(neg.f64 c)
c
(/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b))
(/.f64 (/.f64 (neg.f64 c) b) (pow.f64 b #s(literal 4 binary64)))
(neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(/.f64 (neg.f64 c) (pow.f64 b #s(literal 3 binary64)))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
(*.f64 b b)
(fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) c) (/.f64 b c) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c)))
(/.f64 #s(literal -1/4 binary64) c)
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c)
(*.f64 (*.f64 (/.f64 b c) #s(literal 20 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)
(*.f64 (*.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))
(*.f64 (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 20 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 c c))
(*.f64 #s(literal 2 binary64) (*.f64 c c))
(*.f64 (*.f64 c c) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 c c)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
(/.f64 b (neg.f64 c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(/.f64 (neg.f64 c) b)
#s(literal 1 binary64)
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
(neg.f64 b)
b
c
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) a)
(-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64))))
(*.f64 (*.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a)
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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)))
(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)
b
#s(literal 1/2 binary64)
(*.f64 a (*.f64 b #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) b) a)
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 a a)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
(/.f64 (*.f64 #s(literal 2 binary64) a) b)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
b
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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)))
(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)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (/.f64 a b))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
#s(literal -2 binary64)
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 (*.f64 c a) #s(literal 4 binary64))
(*.f64 b 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
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 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)))

localize296.0ms (2.8%)

Memory
8.9MiB live, 439.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2734375
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
accuracy0.3671875
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
accuracy0.390625
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
accuracy27.57746791539675
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.25228500976844204
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy0.34994125976844204
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
accuracy0.35546875
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
accuracy28.496194091615806
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)))
accuracy0.21875
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a)
accuracy0.25228500976844204
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy0.3203125
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
accuracy28.512811996167716
(-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64))))
accuracy0
(/.f64 (neg.f64 b) c)
accuracy0
(neg.f64 b)
accuracy0.3125
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
accuracy22.668042392299625
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
accuracy0.3756637695368841
(fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))))
accuracy0.38509750976844204
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
accuracy0.5935326660635145
(fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))
accuracy5.181218074700056
#s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a))
Samples
105.0ms89×1valid
103.0ms167×0valid
Compiler

Compiled 983 to 86 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-div: 47.0ms (29.1% of total)
ival-mult: 47.0ms (29.1% of total)
ival-pow: 23.0ms (14.2% of total)
ival-add: 12.0ms (7.4% of total)
adjust: 11.0ms (6.8% of total)
ival-sub: 8.0ms (5% of total)
ival-neg: 6.0ms (3.7% of total)
ival-sqrt: 5.0ms (3.1% of total)
exact: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series230.0ms (2.2%)

Memory
11.6MiB live, 258.6MiB allocated
Counts
24 → 756
Calls
Call 1
Inputs
#s(alt (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (patch (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) (patch (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 b) c) (patch (/.f64 (neg.f64 b) c) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (patch (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (patch (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #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))) #s(literal 1/2 binary64)) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (patch (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) (patch (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)) (patch #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<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 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) #<representation binary64>) () ())
Outputs
#s(alt (* -2 (/ (pow c 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow c 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow c 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow c 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c (pow b 5))) (taylor 0 c) (#s(alt (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (patch (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c (pow b 5))) (taylor 0 c) (#s(alt (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (patch (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c (pow b 5))) (taylor 0 c) (#s(alt (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (patch (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c (pow b 5))) (taylor 0 c) (#s(alt (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (patch (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (pow c 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (pow c 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (pow c 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (pow c 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 c) (#s(alt (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) (patch (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) (taylor 0 c) (#s(alt (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) (patch (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) (taylor 0 c) (#s(alt (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) (patch (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3)))) (taylor 0 c) (#s(alt (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) (patch (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a)) (taylor -inf a) (#s(alt #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)) (patch #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)) #<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>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b)))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ a (pow c 5))) (* (pow b 3) (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))) b)))) (pow a 3))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b)))))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
48.0ms
b
@0
((+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) (/ (neg (/ c (pow b 3))) (* b b)) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5))) (neg (+ (* (+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) a) (neg (/ c (pow b 3))))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (/ (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* a a)) (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) (/ (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b))) (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1) (/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (- (* b b) (+ (* (* -4 c) a) (* b b))) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b)))
31.0ms
a
@inf
((+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) (/ (neg (/ c (pow b 3))) (* b b)) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5))) (neg (+ (* (+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) a) (neg (/ c (pow b 3))))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (/ (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* a a)) (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) (/ (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b))) (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1) (/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (- (* b b) (+ (* (* -4 c) a) (* b b))) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b)))
28.0ms
c
@-inf
((+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) (/ (neg (/ c (pow b 3))) (* b b)) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5))) (neg (+ (* (+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) a) (neg (/ c (pow b 3))))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (/ (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* a a)) (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) (/ (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b))) (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1) (/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (- (* b b) (+ (* (* -4 c) a) (* b b))) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b)))
15.0ms
c
@inf
((+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) (/ (neg (/ c (pow b 3))) (* b b)) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5))) (neg (+ (* (+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) a) (neg (/ c (pow b 3))))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (/ (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* a a)) (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) (/ (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b))) (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1) (/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (- (* b b) (+ (* (* -4 c) a) (* b b))) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b)))
14.0ms
c
@0
((+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) (/ (neg (/ c (pow b 3))) (* b b)) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5))) (neg (+ (* (+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) a) (neg (/ c (pow b 3))))) (/ 1 (/ (neg b) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) c) (neg b) (/ (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* a a)) (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) (/ (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b))) (- (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1)) (* 1 (/ (* 2 a) b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) 1) (/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (- (* b b) (+ (* (* -4 c) a) (* b b))) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (pow c 4) (pow b 6)) (+ (* (* -4 c) a) (* b b)) (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b)))

simplify300.0ms (2.9%)

Memory
-8.1MiB live, 339.7MiB allocated
Algorithm
egg-herbie
Rules
7 070×lower-*.f64
7 070×lower-*.f32
5 236×lower-fma.f64
5 236×lower-fma.f32
4 476×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0236919662
1691719253
0806018636
Stop Event
iter limit
node limit
Counts
756 → 756
Calls
Call 1
Inputs
(* -2 (/ (pow c 2) (pow b 5)))
(* -2 (/ (pow c 2) (pow b 5)))
(* -2 (/ (pow c 2) (pow b 5)))
(* -2 (/ (pow c 2) (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -3 (/ (pow c 2) (pow b 5)))
(* -3 (/ (pow c 2) (pow b 5)))
(* -3 (/ (pow c 2) (pow b 5)))
(* -3 (/ (pow c 2) (pow b 5)))
(/ c (pow b 3))
(* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -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 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -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 (/ (* (pow a 2) c) b))
(* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b))))
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3)))))))
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -1 (/ (pow a 3) (pow b 3))) (* c (+ (* -2 (/ (pow a 4) (pow b 5))) (* -1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b))))))))
(* 1/2 (* a b))
(+ (* -1 (/ (* (pow a 2) c) b)) (* 1/2 (* a b)))
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b)))))
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))))))
(* 1/2 b)
(+ (* -1 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))))
(* -1 (/ c b))
(* c (- (* 1/4 (* c (+ (* 8 (/ a (pow b 3))) (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)))) (/ 1 b)))
(* c (- (* c (+ (* 1/4 (* c (+ (* -2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (+ (* 8 (/ (pow a 2) (pow b 5))) (/ (* (pow b 3) (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a))))) (* 1/4 (+ (* 8 (/ a (pow b 3))) (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a))))) (/ 1 b)))
(* c (- (* c (+ (* 1/4 (+ (* 8 (/ a (pow b 3))) (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a))) (* c (+ (* 1/4 (* c (+ (* -2 (* b (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))) (+ (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) b)) (+ (* 16 (/ (pow a 3) (pow b 7))) (/ (* (pow b 3) (+ (* -256 (/ (pow a 4) (pow b 10))) (+ (* -2 (/ (* a (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) 2)))))) a)))))) (* 1/4 (+ (* -2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (+ (* 8 (/ (pow a 2) (pow b 5))) (/ (* (pow b 3) (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a)))))))) (/ 1 b)))
(* -4 (/ (* (pow a 2) c) (pow b 3)))
(* c (- (* a (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 4 (/ (pow a 2) (pow b 3)))))
(* c (- (* c (- (* a (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1 (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))) (* 4 (/ (pow a 2) (pow b 3)))))
(* c (- (* c (- (* c (- (* a (* b (* c (+ (* -256 (/ (pow a 4) (pow b 10))) (+ (* -2 (/ (* a (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) 2)))))))) (* -1 (* a (* b (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))))) (* -1 (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))) (* 4 (/ (pow a 2) (pow b 3)))))
(* 2 (/ a b))
(+ (* 2 (/ a b)) (* 4 (/ (* (pow a 2) c) (pow b 3))))
(+ (* 2 (/ a b)) (* c (+ (* -1 (* a (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))) (* 4 (/ (pow a 2) (pow b 3))))))
(+ (* 2 (/ a b)) (* c (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -1 (* a (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))))) (* -1 (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))))))
(* -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))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(* 2 (/ (* a c) b))
(* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* 4 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* 4 (/ (pow a 3) (pow b 5)))))))))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) c)
(* -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)
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 4 (/ (pow a 2) (pow b 2)))
(+ (* 4 (/ (pow a 2) (pow b 2))) (* 8 (/ (* (pow a 3) c) (pow b 4))))
(+ (* 4 (/ (pow a 2) (pow b 2))) (* c (+ (* -2 (* (pow a 2) (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 8 (/ (pow a 3) (pow b 4))))))
(+ (* 4 (/ (pow a 2) (pow b 2))) (* c (+ (* 8 (/ (pow a 3) (pow b 4))) (* c (+ (* -2 (* (pow a 2) (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -2 (* (pow a 2) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))))
(* -2 (/ (pow c 2) (pow b 5)))
(* -2 (/ (pow c 2) (pow b 5)))
(* -2 (/ (pow c 2) (pow b 5)))
(* -2 (/ (pow c 2) (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -3 (/ (pow c 2) (pow b 5)))
(* -3 (/ (pow c 2) (pow b 5)))
(* -3 (/ (pow c 2) (pow b 5)))
(* -3 (/ (pow c 2) (pow b 5)))
(* 2 (/ (* a (pow c 2)) (pow b 5)))
(* (pow c 2) (- (/ 1 (* (pow b 3) c)) (* -2 (/ a (pow b 5)))))
(* (pow c 2) (- (/ 1 (* (pow b 3) c)) (* -2 (/ a (pow b 5)))))
(* (pow c 2) (- (/ 1 (* (pow b 3) c)) (* -2 (/ a (pow b 5)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c 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 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* 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)))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* -1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) (* 1/2 (/ (* a b) c))))
(* c (- (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) (* 1/2 (/ (* a b) c))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* b (* (sqrt -4) (- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -4) (- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4)))))))) (* 1/4 (/ (+ (* 1/16 (/ (* (pow b 3) (sqrt -4)) (* (pow a 2) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))) (sqrt -4))))) (pow c 2)))))
(* c (+ (* 1/256 (/ (* (pow b 5) (sqrt -4)) (* (pow a 3) (* (pow c 3) (sqrt -1/4))))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -4) (- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4)))))))) (* 1/4 (/ (+ (* 1/16 (/ (* (pow b 3) (sqrt -4)) (* (pow a 2) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))) (sqrt -4))))) (pow c 2))))))
(* c (+ (* 1/256 (/ (* (pow b 5) (sqrt -4)) (* (pow a 3) (* (pow c 3) (sqrt -1/4))))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -4) (- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4)))))))) (+ (* 1/4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 7))) (/ (* (pow b 5) (- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))) (pow (sqrt -4) 3)))) (+ (* 1/32 (/ (* (pow b 5) c) (* (pow a 3) (* (sqrt -4) (sqrt -1/4))))) (/ (* b (* (sqrt -4) (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))))) (sqrt -1/4)))) (pow c 4))) (* 1/4 (/ (+ (* 1/16 (/ (* (pow b 3) (sqrt -4)) (* (pow a 2) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))) (sqrt -4))))) (pow c 2)))))))
(- (* 2 (/ a b)) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))
(- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (/ a b))) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))
(- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* 2 (/ a b))) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (* (sqrt (/ a c)) (sqrt -1/4)))))
(- (+ (* 2 (/ a b)) (* (sqrt (/ (pow a 3) (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))))
(* 2 (* (sqrt (/ a c)) (sqrt -1/4)))
(+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))
(+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* 2 (* (sqrt (/ a c)) (sqrt -1/4)))))
(+ (* -1 (* (sqrt (/ (pow a 3) (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* 2 (* (sqrt (/ a c)) (sqrt -1/4))))))
(* -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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(* 4 (* a c))
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(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1/4) b)))
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(* -2 (/ (pow c 2) (pow b 5)))
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(* 2 (/ (* a (pow c 2)) (pow b 5)))
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(* (pow c 2) (- (/ 1 (* (pow b 3) c)) (* -2 (/ a (pow b 5)))))
(* (pow c 2) (- (/ 1 (* (pow b 3) c)) (* -2 (/ a (pow b 5)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -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)))))
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(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -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)))))
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(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1/2 (* (sqrt (/ c (pow a 3))) (* b (* (sqrt -1) (- (* 2 (/ a b)) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* 1/4 (/ (+ (* 1/4 (* (sqrt (/ c (pow a 5))) (* (pow b 3) (* (sqrt -1) (- (* 2 (/ a b)) (* (sqrt (/ a c)) (sqrt -1))))))) (* 1/4 (/ (pow b 3) (pow a 2)))) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -1) (- (* 2 (/ a b)) (* (sqrt (/ a c)) (sqrt -1))))))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -1/32 (/ (* (pow b 5) c) (pow a 3))) (+ (* -1/64 (* (sqrt (/ (pow c 3) (pow a 7))) (* (pow b 5) (* (sqrt -1) (- (* 2 (/ a b)) (* (sqrt (/ a c)) (sqrt -1))))))) (* 4 (* b (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))))))) c)) (* -1/64 (/ (pow b 5) (pow a 3)))) (pow c 3))) (+ (* 1/4 (/ (+ (* 1/4 (* (sqrt (/ c (pow a 5))) (* (pow b 3) (* (sqrt -1) (- (* 2 (/ a b)) (* (sqrt (/ a c)) (sqrt -1))))))) (* 1/4 (/ (pow b 3) (pow a 2)))) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -1) (- (* 2 (/ a b)) (* (sqrt (/ a c)) (sqrt -1)))))))))))
(- (* 2 (/ a b)) (* (sqrt (/ a c)) (sqrt -1)))
(- (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (/ a b))) (* (sqrt (/ a c)) (sqrt -1)))
(- (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 2 (/ a b))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(- (+ (* -1 (/ (- (* -2 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (* 1/32 (* (sqrt (/ c (pow a 3))) (* (pow b 4) (sqrt -1))))) (pow c 3))) (* 2 (/ a b))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/32 (* (sqrt (/ c (pow a 3))) (* (pow b 4) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))))))) (pow c 3))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ b (* -2 (* (sqrt (* a c)) (sqrt -1))))
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(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (+ (* -4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c))) c)))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -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 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) b)))
(+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) b))))
(+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* b (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) b)))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 4 (* (sqrt (/ (pow a 5) c)) (/ (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))) b)))) (pow c 3))) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) b)))))
(/ (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))) (pow b 5))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(/ (+ (* -5 (pow c 2)) (* 2 (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (* 2 (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (* 2 (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (* 2 (pow c 2))) (pow b 5))
(* -1 (/ (* a (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2)))) (pow b 5)))
(/ (- (* (pow b 2) c) (* a (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))))) (pow b 5))
(/ (- (* (pow b 2) c) (* a (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))))) (pow b 5))
(/ (- (* (pow b 2) c) (* a (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))))) (pow b 5))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c 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 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -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)))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* -1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 1/2 a))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))) (* 1/2 a))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ (* b (* (sqrt -4) (sqrt -1/4))) a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/2 (/ (* (sqrt -4) (sqrt -1/4)) a)) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/2 (/ (* (sqrt -4) (sqrt -1/4)) a)) (* b (+ (* 1/4 (* b (+ (* -1 (/ (sqrt -1/4) (* (pow a 2) (* c (sqrt -4))))) (* 1/16 (/ (sqrt -4) (* (pow a 2) (* c (sqrt -1/4)))))))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))))
(* 2 (/ a b))
(/ (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1/4)))) (* 2 a)) b)
(/ (+ (* 2 a) (* b (- (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (* (sqrt (/ a c)) (sqrt -1/4)))))) b)
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(* 2 (* (sqrt (/ a c)) (sqrt -1/4)))
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(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))
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(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))
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(+ (* 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))))))))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 4 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1/4) b)))
(/ (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -1/4)))) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1/4)))) b)
(/ (+ (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1/4))) (* (pow b 2) (+ (* -2 (* (sqrt (* (pow a 5) c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/8 (* (sqrt (/ a (pow c 3))) (/ 1 (sqrt -1/4))))))) b)
(/ (+ (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1/4))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -2 (* (sqrt (* (pow a 5) c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -2 (* (sqrt (* (pow a 5) c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) b)
(/ (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2))) (pow b 5))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(/ (+ (* -5 (pow c 2)) (* 2 (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (* 2 (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (* 2 (pow c 2))) (pow b 5))
(/ (+ (* -5 (pow c 2)) (* 2 (pow c 2))) (pow b 5))
(/ c (pow b 3))
(/ (+ c (* -1 (/ (* a (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2)))) (pow b 2)))) (pow b 3))
(/ (+ c (* -1 (/ (* a (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2)))) (pow b 2)))) (pow b 3))
(/ (+ c (* -1 (/ (* a (+ (* -5 (pow c 2)) (+ (* 2 (pow c 2)) (pow c 2)))) (pow b 2)))) (pow b 3))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -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 c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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 (/ (* (pow a 2) c) b))
(/ (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)
(* 1/2 (* a b))
(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))
(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))
(* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))))
(* 1/2 b)
(* b (+ 1/2 (* -1 (/ (* a c) (pow b 2)))))
(* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* 1/4 (/ (+ (* -16 (* a (pow c 2))) (+ (* 4 (* a (pow c 2))) (* 8 (* a (pow c 2))))) (pow b 2)))) b)
(/ (+ (* -1 c) (+ (* 1/4 (/ (+ (* -64 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (+ (* -16 (* a (pow c 2))) (* 4 (* a (pow c 2))))))) (+ (* -2 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (* 8 (* (pow a 2) (pow c 3)))))) (pow b 4))) (* 1/4 (/ (+ (* -16 (* a (pow c 2))) (+ (* 4 (* a (pow c 2))) (* 8 (* a (pow c 2))))) (pow b 2))))) b)
(/ (+ (* -1 c) (+ (* 1/4 (/ (+ (* -256 (* (pow a 3) (pow c 4))) (+ (* -2 (* a (* c (+ (* -64 (* (pow a 2) (pow c 3))) (* -2 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))))) (+ (* -2 (* c (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -16 (* a (pow c 2))) (* 4 (* a (pow c 2))))))) (+ (* 1/4 (/ (pow (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) 2) a)) (* 16 (* (pow a 3) (pow c 4)))))))) (pow b 6))) (+ (* 1/4 (/ (+ (* -64 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (+ (* -16 (* a (pow c 2))) (* 4 (* a (pow c 2))))))) (+ (* -2 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (* 8 (* (pow a 2) (pow c 3)))))) (pow b 4))) (* 1/4 (/ (+ (* -16 (* a (pow c 2))) (+ (* 4 (* a (pow c 2))) (* 8 (* a (pow c 2))))) (pow b 2)))))) b)
(* -4 (/ (* (pow a 2) c) (pow b 3)))
(/ (- (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2)) (* 4 (* (pow a 2) c))) (pow b 3))
(/ (- (/ (* a (+ (* -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 4)) (+ (* -1 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 4 (* (pow a 2) c)))) (pow b 3))
(/ (- (/ (* a (+ (* -256 (* (pow a 4) (pow c 4))) (+ (* -2 (* a (* c (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) 2))))) (pow b 6)) (+ (* -1 (/ (* a (+ (* -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 4))) (+ (* -1 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 4 (* (pow a 2) c))))) (pow b 3))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(/ (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -1 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))) b)
(/ (+ (* -1 (/ (* a (+ (* -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 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))))) b)
(* -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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* 2 (/ (* a c) b))
(/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* -1 (/ b (* a c)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (/ 1 (pow b 2)) (/ (* a c) (pow b 4))) (/ 1 (* a c))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (+ (/ 1 (pow b 2)) (/ (* a c) (pow b 4)))) (/ 1 (* a c))))
(* -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))))))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(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)))))
(* 4 (/ (pow a 2) (pow b 2)))
(/ (+ (* 4 (pow a 2)) (* 8 (/ (* (pow a 3) c) (pow b 2)))) (pow b 2))
(/ (+ (* -2 (/ (* (pow a 2) (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 4 (pow a 2)) (* 8 (/ (* (pow a 3) c) (pow b 2))))) (pow b 2))
(/ (+ (* -2 (/ (* (pow a 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))) (+ (* -2 (/ (* (pow a 2) (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 4 (pow a 2)) (* 8 (/ (* (pow a 3) c) (pow b 2)))))) (pow b 2))
(* -1 (/ (+ (* -2 (pow c 2)) (+ (* -1 (pow c 2)) (* 5 (pow c 2)))) (pow b 5)))
(* -1 (/ (+ (* -2 (pow c 2)) (+ (* -1 (pow c 2)) (* 5 (pow c 2)))) (pow b 5)))
(* -1 (/ (+ (* -2 (pow c 2)) (+ (* -1 (pow c 2)) (* 5 (pow c 2)))) (pow b 5)))
(* -1 (/ (+ (* -2 (pow c 2)) (+ (* -1 (pow c 2)) (* 5 (pow c 2)))) (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ c (pow b 5)))
(* -1 (/ (+ (* -2 (pow c 2)) (* 5 (pow c 2))) (pow b 5)))
(* -1 (/ (+ (* -2 (pow c 2)) (* 5 (pow c 2))) (pow b 5)))
(* -1 (/ (+ (* -2 (pow c 2)) (* 5 (pow c 2))) (pow b 5)))
(* -1 (/ (+ (* -2 (pow c 2)) (* 5 (pow c 2))) (pow b 5)))
(/ c (pow b 3))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (+ (* -2 (pow c 2)) (+ (* -1 (pow c 2)) (* 5 (pow c 2))))) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (+ (* -2 (pow c 2)) (+ (* -1 (pow c 2)) (* 5 (pow c 2))))) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (+ (* -2 (pow c 2)) (+ (* -1 (pow c 2)) (* 5 (pow c 2))))) (pow b 2)))) (pow b 3)))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c 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 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 (/ b c))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ (* b (- (* 1/2 a) (* -1/2 a))) (pow a 2)))
(* -1 (* b (- (+ (* -1 (/ c (pow b 2))) (/ 1/2 a)) (/ -1/2 a))))
(* -1 (* b (- (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1/2 a))) (/ -1/2 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))) (/ 1/2 a)))) (/ -1/2 a))))
(* -1 (* b (- (* 1/2 a) (* -1/2 a))))
(* -1 (* b (- (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) (* -1/2 a))))
(* -1 (* b (- (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))) (* -1/2 a))))
(* -1 (* b (- (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))) (* -1/2 a))))
(* -1/2 (* a b))
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))))
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))
(* -1/2 b)
(* -1 (* b (+ 1/2 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 1/4 (/ (* b (- (* -2 a) (* 2 a))) (pow a 2)))
(* -1 (* b (+ (* -1/4 (/ (+ (* -4 c) (* -2 (/ (* c (- (* -2 a) (* 2 a))) a))) (pow b 2))) (* -1/4 (/ (- (* -2 a) (* 2 a)) (pow a 2))))))
(* -1 (* b (+ (* -1/4 (/ (+ (* -16 (* a (pow c 2))) (+ (* -2 (* (pow c 2) (- (* -2 a) (* 2 a)))) (+ (* 4 (* a (pow c 2))) (* 8 (* a (pow c 2)))))) (pow b 4))) (+ (* -1/4 (/ (+ (* -4 c) (* -2 (/ (* c (- (* -2 a) (* 2 a))) a))) (pow b 2))) (* -1/4 (/ (- (* -2 a) (* 2 a)) (pow a 2)))))))
(* -1 (* b (+ (* -1/4 (/ (+ (* -64 (* (pow a 2) (pow c 3))) (+ (* -4 (* a (* (pow c 3) (- (* -2 a) (* 2 a))))) (+ (* -2 (* a (* c (+ (* -16 (* a (pow c 2))) (* 4 (* a (pow c 2))))))) (+ (* -2 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (* 8 (* (pow a 2) (pow c 3))))))) (pow b 6))) (+ (* -1/4 (/ (+ (* -16 (* a (pow c 2))) (+ (* -2 (* (pow c 2) (- (* -2 a) (* 2 a)))) (+ (* 4 (* a (pow c 2))) (* 8 (* a (pow c 2)))))) (pow b 4))) (+ (* -1/4 (/ (+ (* -4 c) (* -2 (/ (* c (- (* -2 a) (* 2 a))) a))) (pow b 2))) (* -1/4 (/ (- (* -2 a) (* 2 a)) (pow a 2))))))))
(* -1 (/ (- (* -2 a) (* 2 a)) b))
(* -1 (/ (- (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* -2 a)) (* 2 a)) b))
(* -1 (/ (- (+ (* -2 a) (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (- (+ (* -2 a) (/ (* a (+ (* -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 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))))) b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* -2 (/ a b))
(* -1 (/ (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ (* -1 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (+ (* -1 (/ (* a (+ (* -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 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))))) b))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))) 2)))
(* -1 (* b (- (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) 2)))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b))
(/ -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))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(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)))))
(* -4 (/ (pow a 2) (pow b 2)))
(/ (+ (* -8 (/ (* (pow a 3) c) (pow b 2))) (* -4 (pow a 2))) (pow b 2))
(/ (+ (* -8 (/ (* (pow a 3) c) (pow b 2))) (+ (* -4 (pow a 2)) (* 2 (/ (* (pow a 2) (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))))) (pow b 2))
(/ (+ (* -8 (/ (* (pow a 3) c) (pow b 2))) (+ (* -4 (pow a 2)) (+ (* 2 (/ (* (pow a 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))) (* 2 (/ (* (pow a 2) (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4)))))) (pow b 2))
(/ c (pow b 3))
(+ (* -1 (* a (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5)))))) (/ c (pow b 3)))
(+ (* -1 (* a (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5)))))) (/ c (pow b 3)))
(+ (* -1 (* a (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5)))))) (/ c (pow b 3)))
(* -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 (/ 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 (/ (* (pow a 2) c) b))
(* (pow a 2) (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))
(* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))
(* (pow a 2) (+ (* -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 (* a b))
(* a (+ (* -1 (/ (* a c) b)) (* 1/2 b)))
(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))))
(* 1/2 b)
(+ (* -1 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* 1/4 (* a (+ (* 8 (/ (pow c 2) (pow b 3))) (* (pow b 3) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))
(+ (* -1 (/ c b)) (* a (+ (* 1/4 (* a (+ (* -2 (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (+ (* 8 (/ (pow c 3) (pow b 5))) (* (pow b 3) (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))))) (* 1/4 (+ (* 8 (/ (pow c 2) (pow b 3))) (* (pow b 3) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))))
(+ (* -1 (/ c b)) (* a (+ (* 1/4 (+ (* 8 (/ (pow c 2) (pow b 3))) (* (pow b 3) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* a (+ (* 1/4 (* a (+ (* -2 (* b (* c (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (+ (* -2 (/ (* (pow c 2) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) b)) (+ (* 16 (/ (pow c 4) (pow b 7))) (* (pow b 3) (+ (* -256 (/ (pow c 4) (pow b 10))) (+ (* -2 (/ (* c (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) 2))))))))))) (* 1/4 (+ (* -2 (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (+ (* 8 (/ (pow c 3) (pow b 5))) (* (pow b 3) (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))))))))))
(* -4 (/ (* (pow a 2) c) (pow b 3)))
(* (pow a 2) (- (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))) (* 4 (/ c (pow b 3)))))
(* (pow a 2) (- (* a (- (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))) (* -1 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))) (* 4 (/ c (pow b 3)))))
(* (pow a 2) (- (* a (- (* a (- (* a (* b (+ (* -256 (/ (pow c 4) (pow b 10))) (+ (* -2 (/ (* c (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) 2))))))) (* -1 (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))))) (* -1 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))) (* 4 (/ c (pow b 3)))))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* a (+ (* 4 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))
(* a (+ (* a (+ (* -1 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 4 (/ c (pow b 3))))) (* 2 (/ 1 b))))
(* a (+ (* a (+ (* 4 (/ c (pow b 3))) (* a (+ (* -1 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (* 2 (/ 1 b))))
(* -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))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* 2 (/ (* a c) b))
(* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* 2 (/ c b)) (* a (+ (* 2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 2 (/ c b)) (* a (+ (* 2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))) (* 4 (/ (pow c 3) (pow b 5)))))))))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))) a)
(* -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)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 4 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 8 (/ (* a c) (pow b 4))) (* 4 (/ 1 (pow b 2)))))
(* (pow a 2) (+ (* a (+ (* -2 (* a (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))) (* 8 (/ c (pow b 4))))) (* 4 (/ 1 (pow b 2)))))
(* (pow a 2) (+ (* a (+ (* 8 (/ c (pow b 4))) (* a (+ (* -2 (* a (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))) (* -2 (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))) (* 4 (/ 1 (pow b 2)))))
(* -1 (* a (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5))))))
(* a (- (/ c (* a (pow b 3))) (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5))))))
(* a (- (/ c (* a (pow b 3))) (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5))))))
(* a (- (/ c (* a (pow b 3))) (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5))))))
(* 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))))))
(* 1/2 (* (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))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a))))
(* (pow a 2) (- (+ (* -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))))) (* 1/2 (/ b a))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (+ (* -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))))))
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* 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))))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* 1/4 (* (sqrt (/ c a)) (* b (* (sqrt -4) (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))))
(+ (* 1/4 (* (sqrt (/ c a)) (* b (* (sqrt -4) (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))))) (* 1/4 (/ (+ (* 1/16 (/ (* (pow b 3) (sqrt -4)) (* c (sqrt -1/4)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) (sqrt -4))))) (pow a 2))))
(+ (* 1/256 (/ (* (pow b 5) (sqrt -4)) (* (pow a 3) (* (pow c 2) (sqrt -1/4))))) (+ (* 1/4 (* (sqrt (/ c a)) (* b (* (sqrt -4) (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))))) (* 1/4 (/ (+ (* 1/16 (/ (* (pow b 3) (sqrt -4)) (* c (sqrt -1/4)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) (sqrt -4))))) (pow a 2)))))
(+ (* 1/256 (/ (* (pow b 5) (sqrt -4)) (* (pow a 3) (* (pow c 2) (sqrt -1/4))))) (+ (* 1/4 (* (sqrt (/ c a)) (* b (* (sqrt -4) (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))))) (+ (* 1/4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) (pow (sqrt -4) 3)))) (+ (* 1/32 (/ (* a (pow b 5)) (* (pow c 2) (* (sqrt -4) (sqrt -1/4))))) (/ (* b (* c (* (sqrt -4) (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (sqrt -1/4)))) (pow a 4))) (* 1/4 (/ (+ (* 1/16 (/ (* (pow b 3) (sqrt -4)) (* c (sqrt -1/4)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) (sqrt -4))))) (pow a 2))))))
(* a (- (* 2 (/ 1 b)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* a (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (/ 1 b))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* a (- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* 2 (/ 1 b))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))
(* a (- (+ (* 2 (/ 1 b)) (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (* (sqrt (/ a c)) (sqrt -1/4)))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))
(* a (+ (* -1 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a)
(* -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 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1/4) b)))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b (sqrt -1/4)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1/4) b)))))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 3) (sqrt -1/4)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1/4) b))))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (* b (sqrt -1/4))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 3) (sqrt -1/4)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1/4) b)))))))
(* -1 (* a (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5))))))
(* -1 (* a (- (* -1 (/ c (* a (pow b 3)))) (* -1 (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5))))))))
(* -1 (* a (- (* -1 (/ c (* a (pow b 3)))) (* -1 (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5))))))))
(* -1 (* a (- (* -1 (/ c (* a (pow b 3)))) (* -1 (+ (* -5 (/ (pow c 2) (pow b 5))) (+ (* 2 (/ (pow c 2) (pow b 5))) (/ (pow c 2) (pow b 5))))))))
(* -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 (* (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 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1/2 b)) a))))
(* (pow a 2) (+ (* -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 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))))) (* -1/4 (/ (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))))) (* 1/4 (/ (pow b 3) c))) (pow a 2))))
(+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))))) (+ (* -1/4 (/ (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))))) (* 1/4 (/ (pow b 3) c))) (pow a 2))) (* -1/64 (/ (pow b 5) (* (pow a 3) (pow c 2))))))
(+ (* -1 (/ (+ (* 1/64 (/ (pow b 5) (pow c 2))) (* 1/4 (/ (+ (* -1/32 (/ (* a (pow b 5)) (pow c 2))) (+ (* -1/64 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 5) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))))) (* 4 (* b (* c (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))))) a))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))))) (* -1/4 (/ (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))))) (* 1/4 (/ (pow b 3) c))) (pow a 2)))))
(* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))
(* -1 (* a (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 2 (/ 1 b))))))
(* -1 (* a (- (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (/ 1 b)))))))
(* -1 (* a (- (* -1 (/ (- (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (* -1/32 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1))))) (pow a 3))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (/ 1 b)))))))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* (sqrt (/ a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (* -1/32 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1))))) (pow a 3))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ b (* -2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b)) (* -1 (/ (+ (* -4 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a))) a)))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b c))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 (/ b c))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -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))))
(* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) b)))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b)))))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ a (pow c 5))) (* (pow b 3) (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))) b)))) (pow a 3))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b))))))
Outputs
(* -2 (/ (pow c 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow c 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow c 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow c 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(* -1 (/ c (pow b 5)))
(/.f64 (neg.f64 c) (pow.f64 b #s(literal 5 binary64)))
(* -1 (/ c (pow b 5)))
(/.f64 (neg.f64 c) (pow.f64 b #s(literal 5 binary64)))
(* -1 (/ c (pow b 5)))
(/.f64 (neg.f64 c) (pow.f64 b #s(literal 5 binary64)))
(* -1 (/ c (pow b 5)))
(/.f64 (neg.f64 c) (pow.f64 b #s(literal 5 binary64)))
(* -3 (/ (pow c 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(* -3 (/ (pow c 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(* -3 (/ (pow c 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(* -3 (/ (pow c 2) (pow b 5)))
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))
(/ c (pow b 3))
(/.f64 c (pow.f64 b #s(literal 3 binary64)))
(* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* c (+ (* 2 (/ (* a c) (pow b 5))) (/ 1 (pow b 3))))
(*.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(* -1 (/ b c))
(/.f64 (neg.f64 b) c)
(* -1 (/ b c))
(/.f64 (neg.f64 b) c)
(* -1 (/ b c))
(/.f64 (neg.f64 b) c)
(* -1 (/ b c))
(/.f64 (neg.f64 b) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(neg.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) c) (/.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))))) a) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 b c)))) a)) a))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))))
(* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) b)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b)))))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b))))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ a (pow c 5))) (* (pow b 3) (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))) b)))) (pow a 3))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) b))))))
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) (pow.f64 c #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64))))) b))) (pow.f64 a #s(literal 3 binary64)))))

rewrite223.0ms (2.1%)

Memory
-9.0MiB live, 311.1MiB allocated
Rules
5 060×lower-*.f32
5 028×lower-*.f64
4 008×lower-fma.f32
3 996×lower-fma.f64
2 580×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086520
0147508
1600433
25319405
08964402
Stop Event
iter limit
node limit
iter limit
Counts
24 → 768
Calls
Call 1
Inputs
(fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64)))))
(/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b))
(fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))
(neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
(/.f64 (neg.f64 b) c)
(neg.f64 b)
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
#s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
Outputs
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eval487.0ms (4.6%)

Memory
40.1MiB live, 772.4MiB allocated
Compiler

Compiled 81 593 to 7 767 computations (90.5% saved)

prune210.0ms (2%)

Memory
-25.2MiB live, 350.3MiB allocated
Pruning

84 alts after pruning (82 fresh and 2 done)

PrunedKeptTotal
New1 825471 872
Fresh273562
Picked505
Done022
Total1 857841 941
Accuracy
99.9%
Counts
1 941 → 84
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(fma.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) b (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
54.8%
(fma.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
54.9%
(fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
54.9%
(fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
54.6%
(fma.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (/.f64 (/.f64 a b) (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
55.8%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
54.5%
(fma.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
55.5%
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
55.2%
(fma.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 (*.f64 a b) a) (/.f64 #s(literal 1/2 binary64) a))))
54.4%
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 a b) (/.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
56.0%
(/.f64 (fma.f64 (*.f64 (neg.f64 a) #s(literal 1/2 binary64)) b (*.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a a))
54.9%
(/.f64 (fma.f64 (*.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64) (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
55.9%
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
55.9%
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
55.5%
(/.f64 (fma.f64 a (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
56.2%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))))
55.7%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))))
99.1%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
91.4%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 #s(approx (neg (+ (* (+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) a) (neg (/ c (pow b 3))))) (/.f64 (-.f64 (*.f64 (*.f64 b b) c) (*.f64 a (fma.f64 (*.f64 c c) #s(literal -3 binary64) (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)))
88.8%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 #s(approx (neg (+ (* (+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) a) (neg (/ c (pow b 3))))) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)))
82.9%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)))
82.9%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)))
82.9%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 a c))) b)))
91.3%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (neg.f64 b) a)) c)))
91.3%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (*.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a c)))))))
55.8%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
57.1%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 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)))
54.8%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) b) (*.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
54.9%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 b (*.f64 a #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
55.5%
(/.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))))))
54.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) b) a))) (pow.f64 a #s(literal 4 binary64)))
55.1%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
55.0%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
54.8%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 c (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c))))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
57.1%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
54.7%
(/.f64 (-.f64 (*.f64 a (/.f64 #s(literal 2 binary64) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
54.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (pow.f64 b #s(literal -1 binary64))))
42.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) #s(approx (* (/ (* 2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* 2 a) b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 b b))))))
54.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
54.8%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) a))
55.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
55.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
36.8%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
57.1%
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
55.7%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))))
55.5%
(/.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
54.9%
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
64.5%
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
82.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
64.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
57.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
56.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b))))
55.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
55.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
54.2%
(-.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
54.8%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
55.0%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
54.7%
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
55.9%
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)))
55.5%
(*.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) b))))
57.1%
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (pow.f64 (*.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(literal -1 binary64)))
54.8%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) b)
54.8%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) b)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
54.9%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
55.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
54.6%
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 b (*.f64 a #s(literal 2 binary64))))
55.1%
(*.f64 (-.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
55.5%
(*.f64 (neg.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) b)))) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64)))
82.5%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
88.4%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b 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) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
82.3%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c))
82.4%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))))
91.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/4 a) (* (/ (pow c 4) (pow b 6)) (/ 20 b))) (/ (* (pow c 3) -2) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) a) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)))
88.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 c) b)))
64.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
64.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) b)))) (pow.f64 c #s(literal 3 binary64)))))
Compiler

Compiled 4 420 to 2 833 computations (35.9% saved)

simplify120.0ms (1.1%)

Memory
26.7MiB live, 137.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a #s(literal 2 binary64))
cost-diff0
(/.f64 (*.f64 a #s(literal 2 binary64)) b)
cost-diff128
(neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))
cost-diff8640
(fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
cost-diff0
(/.f64 a b)
cost-diff0
(-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(neg.f64 b)
cost-diff1024
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
cost-diff0
(/.f64 #s(literal -1 binary64) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
cost-diff0
(pow.f64 a #s(literal -1 binary64))
cost-diff384
(/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
cost-diff6080
(*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
cost-diff6464
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
Rules
5 798×lower-fma.f32
5 790×lower-fma.f64
5 790×lower-*.f32
5 760×lower-*.f64
1 408×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061548
0103538
1196521
2478485
31510485
45119485
08107485
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
#s(literal -2 binary64)
(*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
#s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
c
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 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)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
c
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(neg.f64 b)
b
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.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
(*.f64 b b)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
#s(literal 2 binary64)
(-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 a b)
a
b
(/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(*.f64 a c)
c
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(*.f64 a a)
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
(fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 a #s(literal 2 binary64)) b)
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
b
(*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(*.f64 a c)
c
#s(literal -4 binary64)
(*.f64 b b)
(neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 b (*.f64 a #s(literal 2 binary64)))
Outputs
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)) #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(pow.f64 a #s(literal -1 binary64))
a
#s(literal -1 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
#s(literal -2 binary64)
(*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
#s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
c
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 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)))
(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)
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(/.f64 (neg.f64 c) b)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
c
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
(neg.f64 b)
b
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) 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)))
(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)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(*.f64 (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 a b)
a
b
(/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(/.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 a c)
(*.f64 c a)
c
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(*.f64 a a)
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)
(fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.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 a #s(literal 2 binary64)) b)
(*.f64 (/.f64 a b) #s(literal 2 binary64))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)
b
(*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.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 a c) #s(literal -4 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 a c)
(*.f64 c a)
c
#s(literal -4 binary64)
(*.f64 b b)
(neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/.f64 b (*.f64 a #s(literal 2 binary64)))
(/.f64 b (*.f64 #s(literal 2 binary64) a))

localize218.0ms (2.1%)

Memory
-19.3MiB live, 381.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.22265625
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
accuracy0.244472509768442
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
accuracy0.3366012695368841
(*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
accuracy28.426753870007982
(fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
accuracy0.244472509768442
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
accuracy0.320976269536884
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
accuracy0.371757519536884
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
accuracy28.49597998518929
(-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
accuracy0.09765625
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.25228500976844204
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy0.32421875
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
accuracy28.368024532956714
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
accuracy0
(/.f64 #s(literal -1 binary64) b)
accuracy0.26953125
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
accuracy22.668042392299625
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
accuracy0.25228500976844204
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy0.2734375
(/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
accuracy0.3671875
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
accuracy0.390625
(*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
Samples
95.0ms102×1valid
74.0ms154×0valid
Compiler

Compiled 551 to 58 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 45.0ms (35.8% of total)
ival-div: 35.0ms (27.8% of total)
ival-pow: 11.0ms (8.8% of total)
ival-add: 10.0ms (8% of total)
adjust: 8.0ms (6.4% of total)
ival-sqrt: 8.0ms (6.4% of total)
ival-sub: 5.0ms (4% of total)
ival-neg: 3.0ms (2.4% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series147.0ms (1.4%)

Memory
-1.7MiB live, 148.5MiB allocated
Counts
25 → 732
Calls
Call 1
Inputs
#s(alt (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) (patch (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (patch (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) b) (patch (/.f64 #s(literal -1 binary64) b) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 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 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (patch (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (patch (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (/.f64 a b) (patch (/.f64 a b) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) (patch (fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) (patch (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a #s(literal 2 binary64)) b) (patch (/.f64 (*.f64 a #s(literal 2 binary64)) b) #<representation binary64>) () ())
#s(alt (*.f64 a #s(literal 2 binary64)) (patch (*.f64 a #s(literal 2 binary64)) #<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 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) (patch (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) (patch (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) #<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 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) (patch (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) (patch (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (patch (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (patch (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* 4 (/ (* (pow a 3) c) (pow b 5))))))) (taylor 0 c) (#s(alt (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (patch (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* 4 (/ (pow a 3) (pow b 5))))))))) (taylor 0 c) (#s(alt (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) (patch (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b (* a c))) (taylor 0 c) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ b a)) (/ c b)) c) (taylor 0 c) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) c) (taylor 0 c) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) c) (taylor 0 c) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) (patch (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<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 #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ b a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* 1/2 (/ b a))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ b a)) (* 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) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (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 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* 1/128 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))))))) (pow a 3))) (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c (pow a 3))) (* b (sqrt -1)))) (taylor -inf a) (#s(alt (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))) a)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1)))))) a)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2048 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 7) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))))) a)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (* b (sqrt -1)))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 7) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1))))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
21.0ms
a
@-inf
((/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (pow a -1) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (neg b) (/ 1/2 a) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b))))) (/ a b) (+ (* (/ (* a 2) b) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b))) (neg (/ b (* a 2)))) (neg (/ b (* a 2))) (/ (* a 2) b) (* a 2) (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (+ (* (* a c) -4) (* b b)) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* (sqrt (+ (* (* a c) -4) (* b b))) b))
15.0ms
c
@-inf
((/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (pow a -1) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (neg b) (/ 1/2 a) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b))))) (/ a b) (+ (* (/ (* a 2) b) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b))) (neg (/ b (* a 2)))) (neg (/ b (* a 2))) (/ (* a 2) b) (* a 2) (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (+ (* (* a c) -4) (* b b)) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* (sqrt (+ (* (* a c) -4) (* b b))) b))
14.0ms
b
@0
((/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (pow a -1) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (neg b) (/ 1/2 a) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b))))) (/ a b) (+ (* (/ (* a 2) b) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b))) (neg (/ b (* a 2)))) (neg (/ b (* a 2))) (/ (* a 2) b) (* a 2) (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (+ (* (* a c) -4) (* b b)) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* (sqrt (+ (* (* a c) -4) (* b b))) b))
7.0ms
c
@inf
((/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (pow a -1) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (neg b) (/ 1/2 a) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b))))) (/ a b) (+ (* (/ (* a 2) b) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b))) (neg (/ b (* a 2)))) (neg (/ b (* a 2))) (/ (* a 2) b) (* a 2) (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (+ (* (* a c) -4) (* b b)) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* (sqrt (+ (* (* a c) -4) (* b b))) b))
7.0ms
a
@inf
((/ (pow a -1) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)))) (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1)) (/ -2 (* (- (* b b) (+ (* (* -4 c) a) (* b b))) (pow (+ (sqrt (+ (* (* -4 c) a) (* b b))) b) -1))) (pow a -1) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (neg b) (/ 1/2 a) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b)))) (* (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b))))) (/ a b) (+ (* (/ (* a 2) b) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b))) (neg (/ b (* a 2)))) (neg (/ b (* a 2))) (/ (* a 2) b) (* a 2) (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (* 2 (- (/ a b) (/ a (sqrt (+ (* (* a c) -4) (* b b)))))) (* (* a a) 4)) (+ (* (* a c) -4) (* b b)) (* (pow (* a 2) -2) (* (sqrt (+ (* (* a c) -4) (* b b))) b)) (* (sqrt (+ (* (* a c) -4) (* b b))) b))

simplify249.0ms (2.4%)

Memory
-10.5MiB live, 304.0MiB allocated
Algorithm
egg-herbie
Rules
7 074×lower-*.f64
7 074×lower-*.f32
5 370×lower-fma.f64
5 370×lower-fma.f32
4 262×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227419974
1648019560
0815918838
Stop Event
iter limit
node limit
Counts
732 → 729
Calls
Call 1
Inputs
(* -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))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(* 2 (/ (* a c) b))
(* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* 4 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* 4 (/ (pow a 3) (pow b 5)))))))))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) c)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -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 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(* 1/2 (/ b a))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(* -1 (/ c b))
(* c (- (* 1/2 (* c (+ (* 1/2 (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)) (* 4 (/ a (pow b 3)))))) (/ 1 b)))
(* c (- (* c (+ (* 1/2 (* c (+ (* -1 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (+ (* 1/2 (/ (* (pow b 3) (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a)) (* 4 (/ (pow a 2) (pow b 5))))))) (* 1/2 (+ (* 1/2 (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)) (* 4 (/ a (pow b 3))))))) (/ 1 b)))
(* c (- (* c (+ (* 1/2 (+ (* 1/2 (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)) (* 4 (/ a (pow b 3))))) (* c (+ (* 1/2 (* c (+ (* -1 (* b (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) b)) (+ (* 1/2 (/ (* (pow b 3) (+ (* -256 (/ (pow a 4) (pow b 10))) (+ (* -2 (/ (* a (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) 2)))))) a)) (* 8 (/ (pow a 3) (pow b 7)))))))) (* 1/2 (+ (* -1 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (+ (* 1/2 (/ (* (pow b 3) (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a)) (* 4 (/ (pow a 2) (pow b 5)))))))))) (/ 1 b)))
(* -4 (/ (* (pow a 2) c) (pow b 3)))
(* c (+ (* -4 (/ (pow a 2) (pow b 3))) (* a (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))
(* c (+ (* -4 (/ (pow a 2) (pow b 3))) (* c (+ (* a (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))))
(* c (+ (* -4 (/ (pow a 2) (pow b 3))) (* c (+ (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (* c (+ (* a (* b (* c (+ (* -256 (/ (pow a 4) (pow b 10))) (+ (* -2 (/ (* a (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) 2)))))))) (* a (* b (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))))))))
(* -2 (/ (* (pow a 2) c) (pow b 3)))
(* c (- (* 1/2 (* a (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))) (* 2 (/ (pow a 2) (pow b 3)))))
(* c (- (* c (- (* 1/2 (* a (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))))) (* -1/2 (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))) (* 2 (/ (pow a 2) (pow b 3)))))
(* c (- (* c (- (* c (- (* 1/2 (* a (* b (* c (+ (* -256 (/ (pow a 4) (pow b 10))) (+ (* -2 (/ (* a (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) 2))))))))) (* -1/2 (* a (* b (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))))) (* -1/2 (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))) (* 2 (/ (pow a 2) (pow b 3)))))
(* -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)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -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))))))))
(* -1 (/ c (pow b 3)))
(* c (- (* 1/4 (/ (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) a)) (/ 1 (pow b 3))))
(* c (- (* c (+ (* 1/4 (/ (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))) a)) (* 1/4 (/ (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)))) (/ 1 (pow b 3))))
(* c (- (* c (+ (* 1/4 (/ (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)) (* c (+ (* 1/4 (/ (* b (* c (+ (* -256 (/ (pow a 4) (pow b 10))) (+ (* -2 (/ (* a (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) 2))))))) a)) (* 1/4 (/ (* b (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a)))))) (/ 1 (pow b 3))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/4 (/ (pow b 2) (pow a 2)))
(+ (* -1/2 (/ c a)) (* 1/4 (/ (pow b 2) (pow a 2))))
(+ (* 1/4 (/ (pow b 2) (pow a 2))) (* c (- (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(+ (* 1/4 (/ (pow b 2) (pow a 2))) (* c (- (* c (- (* -1 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 a)))))
(pow b 2)
(+ (* -2 (* a c)) (pow b 2))
(+ (* c (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2))
(+ (* c (+ (* -2 a) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 4))) (* -2 (/ (pow a 2) (pow b 2))))))) (pow b 2))
(* -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)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))))
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c 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)))))))
(* 1/2 (* (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)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* 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 (+ (* -1/16 (* (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))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* 1/2 (* (sqrt (/ c (pow a 3))) (* b (* (sqrt -4) (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -4) (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))))))) (* 1/2 (/ (+ (* 1/32 (/ (* (pow b 3) (sqrt -4)) (* (pow a 2) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4)))) (sqrt -4))))) (pow c 2)))))
(* c (+ (* 1/256 (/ (* (pow b 5) (sqrt -4)) (* (pow a 3) (* (pow c 3) (sqrt -1/4))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -4) (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))))))) (* 1/2 (/ (+ (* 1/32 (/ (* (pow b 3) (sqrt -4)) (* (pow a 2) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4)))) (sqrt -4))))) (pow c 2))))))
(* c (+ (* 1/256 (/ (* (pow b 5) (sqrt -4)) (* (pow a 3) (* (pow c 3) (sqrt -1/4))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -4) (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))))))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 7))) (/ (* (pow b 5) (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4)))) (pow (sqrt -4) 3)))) (+ (* 1/64 (/ (* (pow b 5) c) (* (pow a 3) (* (sqrt -4) (sqrt -1/4))))) (* 1/2 (/ (* b (* (sqrt -4) (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))))) (sqrt -1/4))))) (pow c 4))) (* 1/2 (/ (+ (* 1/32 (/ (* (pow b 3) (sqrt -4)) (* (pow a 2) (sqrt -1/4)))) (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4)))) (sqrt -4))))) (pow c 2)))))))
(* 2 (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))))
(+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4)))))
(+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))))))
(+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* 2 (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4)))) (* (sqrt (/ (pow a 3) (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4))))))
(- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4)))
(- (+ (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (/ a b)) (* (sqrt (/ a c)) (sqrt -1/4)))
(- (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (/ a b)) (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ a c)) (sqrt -1/4))))
(- (+ (* 1/2 (* (sqrt (/ (pow a 3) (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (/ a b)) (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ a c)) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))
(* 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))))) (* 1/2 (/ b (* a c)))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) 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))))
(* 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))))))
(* 1/2 (/ (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))) (pow a 2)))
(+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 1/2 (/ (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))) (pow a 2))))
(+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 1/2 (/ (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))) (pow a 2)))))
(+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (* 1/2 (/ (- (/ a b) (* (sqrt (/ a c)) (sqrt -1/4))) (pow a 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)))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* b (sqrt -4))))
(* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -4))))))
(* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -4)))))))
(* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (/ (pow b 7) (pow (sqrt -4) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -4))))))))
(* (sqrt (* a c)) (* b (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* (sqrt (/ a c)) (* b (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* (sqrt (/ a c)) (* b (sqrt -4))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 7) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* (sqrt (/ a c)) (* b (sqrt -4)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ b (* -2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (+ (* -4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c))) c)))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -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 (/ c b))
(* -1 (/ c b))
(* -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 (* (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 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -1 (* (sqrt (/ c (pow a 3))) (* b (* (sqrt -1) (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* 1/2 (/ (+ (* 1/8 (/ (pow b 3) (pow a 2))) (* 1/4 (* (sqrt (/ c (pow a 5))) (* (pow b 3) (* (sqrt -1) (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))))) (pow c 2))) (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -1) (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/64 (* (sqrt (/ (pow c 3) (pow a 7))) (* (pow b 5) (* (sqrt -1) (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))))))) (+ (* -1/64 (/ (* (pow b 5) c) (pow a 3))) (* 2 (* b (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))))))) c)) (* -1/64 (/ (pow b 5) (pow a 3)))) (pow c 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ (pow b 3) (pow a 2))) (* 1/4 (* (sqrt (/ c (pow a 5))) (* (pow b 3) (* (sqrt -1) (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))))) (pow c 2))) (* (sqrt (/ 1 (* (pow a 3) c))) (* b (* (sqrt -1) (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))))))))))
(* 2 (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))))
(+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))
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(- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(- (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (/ a b)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (/ a b)) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -2 (* (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))))))))
(* 1/2 (/ (- (/ a b) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) (pow a 2)))
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(* -4 (* a c))
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1/2 (* (sqrt (/ c (pow a 3))) (* b (sqrt -1))))
(* -1 (* c (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))))))
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(* -2 (* (sqrt (* a c)) (* b (sqrt -1))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (* b (sqrt -1))))))))
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
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(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))
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(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c 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 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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
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(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ (* b (* (sqrt -4) (sqrt -1/4))) a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/2 (/ (* (sqrt -4) (sqrt -1/4)) a)) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/2 (/ (* (sqrt -4) (sqrt -1/4)) a)) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/2 (* b (+ (* -1/2 (/ (sqrt -1/4) (* (pow a 2) (* c (sqrt -4))))) (* 1/32 (/ (sqrt -4) (* (pow a 2) (* c (sqrt -1/4)))))))))))))
(* 2 (/ a b))
(/ (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1/4)))) (* 2 a)) b)
(/ (+ (* 2 a) (* b (+ (* -2 (* (sqrt (/ a c)) (sqrt -1/4))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4))))))) b)
(/ (+ (* 2 a) (* b (+ (* -2 (* (sqrt (/ a c)) (sqrt -1/4))) (* (pow b 2) (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (sqrt (* (pow a 3) c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))))))) b)
(/ a b)
(/ (+ a (* -1 (* (sqrt (/ a c)) (* b (sqrt -1/4))))) b)
(/ (+ a (* b (- (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ a c)) (sqrt -1/4))))) b)
(/ (+ a (* b (- (* (pow b 2) (- (* 1/2 (* (sqrt (* (pow a 3) c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -1/4)))))) (* (sqrt (/ a c)) (sqrt -1/4))))) b)
(/ a b)
(/ a b)
(/ a b)
(/ 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)))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ 1/2 (* a b))
(/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1/4)))) (* 1/2 (/ 1 a))) b)
(/ (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1/4))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))))) (* 1/2 (/ 1 a))) b)
(/ (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1/4))) (* (pow b 2) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ c a)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))))))) (* 1/2 (/ 1 a))) b)
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* b (sqrt -4))))
(* b (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4)))))
(* b (+ (* 1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -4))))))))
(* b (+ (* 1/4 (* (sqrt (/ c (pow a 3))) (sqrt -4))) (* (pow b 2) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 9) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))))
(* (sqrt (* a c)) (* b (sqrt -4)))
(* b (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))))
(* b (+ (* (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))))))))
(* b (+ (* (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))))))))))
(* -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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* 2 (/ (* a c) b))
(/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* -1 (/ b (* a c)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (/ 1 (pow b 2)) (/ (* a c) (pow b 4))) (/ 1 (* a c))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (+ (/ 1 (pow b 2)) (/ (* a c) (pow b 4)))) (/ 1 (* a c))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -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)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(* -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)
(* -1 b)
(* -1 b)
(* -1 b)
(* 1/2 (/ b a))
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* 1/2 (/ (+ (* 1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) a)) (* 4 (* a (pow c 2)))) (pow b 2)))) b)
(/ (+ (* -1 c) (+ (* 1/2 (/ (+ (* -1 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (+ (* 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)))))))) a)) (* 4 (* (pow a 2) (pow c 3))))) (pow b 4))) (* 1/2 (/ (+ (* 1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) a)) (* 4 (* a (pow c 2)))) (pow b 2))))) b)
(/ (+ (* -1 c) (+ (* 1/2 (/ (+ (* -1 (* a (* (pow c 2) (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (+ (* -1 (* c (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))))) (+ (* 1/2 (/ (+ (* -256 (* (pow a 4) (pow c 4))) (+ (* -2 (* a (* c (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) 2)))) a)) (* 8 (* (pow a 3) (pow c 4)))))) (pow b 6))) (+ (* 1/2 (/ (+ (* -1 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (+ (* 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)))))))) a)) (* 4 (* (pow a 2) (pow c 3))))) (pow b 4))) (* 1/2 (/ (+ (* 1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) a)) (* 4 (* a (pow c 2)))) (pow b 2)))))) b)
(* -4 (/ (* (pow a 2) c) (pow b 3)))
(/ (+ (* -4 (* (pow a 2) c)) (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2))) (pow b 3))
(/ (+ (* -4 (* (pow a 2) c)) (+ (/ (* a (+ (* -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 4)) (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2)))) (pow b 3))
(/ (+ (* -4 (* (pow a 2) c)) (+ (/ (* a (+ (* -256 (* (pow a 4) (pow c 4))) (+ (* -2 (* a (* c (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) 2))))) (pow b 6)) (+ (/ (* a (+ (* -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 4)) (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2))))) (pow b 3))
(* -2 (/ (* (pow a 2) c) (pow b 3)))
(/ (- (* 1/2 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 2 (* (pow a 2) c))) (pow b 3))
(/ (- (* 1/2 (/ (* a (+ (* -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 4))) (+ (* -1/2 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 2 (* (pow a 2) c)))) (pow b 3))
(/ (- (* 1/2 (/ (* a (+ (* -256 (* (pow a 4) (pow c 4))) (+ (* -2 (* a (* c (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) 2))))) (pow b 6))) (+ (* -1/2 (/ (* a (+ (* -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 4))) (+ (* -1/2 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 2 (* (pow a 2) c))))) (pow b 3))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* -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)
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(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 (+ 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 (/ c (pow b 3)))
(/ (+ (* -1 c) (* 1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (* a (pow b 2))))) (pow b 3))
(/ (+ (* -1 c) (+ (* 1/4 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (* a (pow b 4)))) (* 1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (* a (pow b 2)))))) (pow b 3))
(/ (+ (* -1 c) (+ (* 1/4 (/ (+ (* -256 (* (pow a 4) (pow c 4))) (+ (* -2 (* a (* c (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))))))) (* 1/4 (pow (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) 2)))) (* a (pow b 6)))) (+ (* 1/4 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (* a (pow b 4)))) (* 1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (* a (pow b 2))))))) (pow b 3))
(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)))))
(* 1/4 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (+ (* -1/2 (/ c (* a (pow b 2)))) (* 1/4 (/ 1 (pow a 2)))))
(* (pow b 2) (+ (* -1/2 (/ c (* a (pow b 2)))) (+ (* -1/2 (/ (pow c 2) (pow b 4))) (* 1/4 (/ 1 (pow a 2))))))
(* (pow b 2) (+ (* -1 (/ (* a (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (* a (pow b 2)))) (+ (* -1/2 (/ (pow c 2) (pow b 4))) (* 1/4 (/ 1 (pow a 2)))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* (pow b 2) (+ 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 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))) 2)))
(* -1 (* b (- (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) 2)))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c 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 b)
(/ -1 b)
(/ -1 b)
(/ -1 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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 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))) (* 1/2 (/ 1 a)))))))
(* 1/2 (/ (* b (- (* -1 a) a)) (pow a 2)))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 c) (* -2 (/ (* c (- (* -1 a) a)) a))) (pow b 2))) (* -1/2 (/ (- (* -1 a) a) (pow a 2))))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 c) (* -2 (/ (* c (- (* -1 a) a)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -2 (* (pow c 2) (- (* -1 a) a))) (+ (* 1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) a)) (* 4 (* a (pow c 2))))) (pow b 4))) (* -1/2 (/ (- (* -1 a) a) (pow a 2)))))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -4 (* a (* (pow c 3) (- (* -1 a) a)))) (+ (* -1 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (+ (* 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)))))))) a)) (* 4 (* (pow a 2) (pow c 3)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -2 c) (* -2 (/ (* c (- (* -1 a) a)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -2 (* (pow c 2) (- (* -1 a) a))) (+ (* 1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) a)) (* 4 (* a (pow c 2))))) (pow b 4))) (* -1/2 (/ (- (* -1 a) a) (pow a 2))))))))
(* -2 (/ (- (* -1 a) a) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 2 (- (* -1 a) a))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 2 (- (* -1 a) a)) (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 2 (- (* -1 a) a)) (+ (/ (* a (+ (* -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)) (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))))) b))
(* -1 (/ (- (* -1 a) a) b))
(* -1 (/ (- (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -1 a)) a) b))
(* -1 (/ (- (+ (* -1 a) (* 1/2 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4)))) (+ a (* 2 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ (- (+ (* -1 a) (* 1/2 (/ (* a (+ (* -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)))) (+ a (+ (* -1/2 (/ (* a (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (pow b 4))) (* 2 (/ (* (pow a 2) c) (pow b 2)))))) b))
(/ a b)
(/ a b)
(/ a b)
(/ a 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 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(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)))))
(* -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 (/ (- (* -1 a) a) (* (pow a 2) b)))
(* -1 (/ (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ (- (* -1 a) a) (pow a 2)))) b))
(* -1 (/ (+ (* -1 (/ c (pow b 2))) (+ (* 1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (* a (pow b 4)))) (* 1/2 (/ (- (* -1 a) a) (pow a 2))))) b))
(* -1 (/ (+ (* -1 (/ c (pow b 2))) (+ (* 1/4 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (* a (pow b 6)))) (+ (* 1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (* a (pow b 4)))) (* 1/2 (/ (- (* -1 a) a) (pow a 2)))))) b))
(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)))))
(* -1/4 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (* 1/2 (/ c (* a (pow b 2)))) (* 1/4 (/ 1 (pow a 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ c (* a (pow b 2)))) (* 1/2 (/ (pow c 2) (pow b 4)))) (* 1/4 (/ 1 (pow a 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ c (* a (pow b 2)))) (+ (* 1/2 (/ (pow c 2) (pow b 4))) (/ (* a (pow c 3)) (pow b 6)))) (* 1/4 (/ 1 (pow a 2)))))
(* -1 (pow b 2))
(* (pow b 2) (- (* 2 (/ (* a c) (pow b 2))) 1))
(* (pow b 2) (- (+ (* 2 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1))
(* (pow b 2) (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 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))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* 2 (/ (* a c) b))
(* a (+ (* 2 (/ c b)) (* 2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* 2 (/ c b)) (* a (+ (* 2 (/ (pow c 2) (pow b 3))) (* 4 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 2 (/ c b)) (* a (+ (* 2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))) (* 4 (/ (pow c 3) (pow b 5)))))))))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) a)
(/ (+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))) a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 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 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* 1/2 (* a (+ (* 1/2 (* (pow b 3) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))) (* 4 (/ (pow c 2) (pow b 3)))))))
(+ (* -1 (/ c b)) (* a (+ (* 1/2 (* a (+ (* -1 (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (+ (* 1/2 (* (pow b 3) (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))) (* 4 (/ (pow c 3) (pow b 5))))))) (* 1/2 (+ (* 1/2 (* (pow b 3) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))) (* 4 (/ (pow c 2) (pow b 3))))))))
(+ (* -1 (/ c b)) (* a (+ (* 1/2 (+ (* 1/2 (* (pow b 3) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))) (* 4 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/2 (* a (+ (* -1 (* b (* c (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (+ (* -1 (/ (* (pow c 2) (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) b)) (+ (* 1/2 (* (pow b 3) (+ (* -256 (/ (pow c 4) (pow b 10))) (+ (* -2 (/ (* c (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) 2))))))) (* 8 (/ (pow c 4) (pow b 7)))))))) (* 1/2 (+ (* -1 (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (+ (* 1/2 (* (pow b 3) (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))) (* 4 (/ (pow c 3) (pow b 5)))))))))))
(* -4 (/ (* (pow a 2) c) (pow b 3)))
(* (pow a 2) (+ (* -4 (/ c (pow b 3))) (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))
(* (pow a 2) (+ (* -4 (/ c (pow b 3))) (* a (+ (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))) (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))
(* (pow a 2) (+ (* -4 (/ c (pow b 3))) (* a (+ (* a (+ (* a (* b (+ (* -256 (/ (pow c 4) (pow b 10))) (+ (* -2 (/ (* c (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) 2))))))) (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))
(* -2 (/ (* (pow a 2) c) (pow b 3)))
(* (pow a 2) (- (* 1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3)))))
(* (pow a 2) (- (* a (- (* 1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))) (* 2 (/ c (pow b 3)))))
(* (pow a 2) (- (* a (- (* a (- (* 1/2 (* a (* b (+ (* -256 (/ (pow c 4) (pow b 10))) (+ (* -2 (/ (* c (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) 2)))))))) (* -1/2 (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))) (* 2 (/ c (pow b 3)))))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* -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 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
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))))))))
(* -1 (/ c (pow b 3)))
(+ (* -1 (/ c (pow b 3))) (* 1/4 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))
(+ (* -1 (/ c (pow b 3))) (* a (+ (* 1/4 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* 1/4 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))
(+ (* -1 (/ c (pow b 3))) (* a (+ (* 1/4 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))) (* a (+ (* 1/4 (* a (* b (+ (* -256 (/ (pow c 4) (pow b 10))) (+ (* -2 (/ (* c (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) 2)))))))) (* 1/4 (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2)))))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/4 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1/2 (* a c)) (* 1/4 (pow b 2))) (pow a 2))
(/ (+ (* 1/4 (pow b 2)) (* a (+ (* -1/2 c) (* -1/2 (/ (* a (pow c 2)) (pow b 2)))))) (pow a 2))
(/ (+ (* 1/4 (pow b 2)) (* a (+ (* -1/2 c) (* a (+ (* -1 (/ (* a (pow c 3)) (pow b 4))) (* -1/2 (/ (pow c 2) (pow b 2)))))))) (pow a 2))
(pow b 2)
(+ (* -2 (* a c)) (pow b 2))
(+ (* a (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) (pow b 2))
(+ (* a (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2))))))) (pow b 2))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))))
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* 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))))))
(* 1/2 (* (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))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/16 (* (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)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -4) (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))))
(+ (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -4) (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))) (* 1/2 (/ (+ (* 1/32 (/ (* (pow b 3) (sqrt -4)) (* c (sqrt -1/4)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) (sqrt -4))))) (pow a 2))))
(+ (* 1/256 (/ (* (pow b 5) (sqrt -4)) (* (pow a 3) (* (pow c 2) (sqrt -1/4))))) (+ (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -4) (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))) (* 1/2 (/ (+ (* 1/32 (/ (* (pow b 3) (sqrt -4)) (* c (sqrt -1/4)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) (sqrt -4))))) (pow a 2)))))
(+ (* 1/256 (/ (* (pow b 5) (sqrt -4)) (* (pow a 3) (* (pow c 2) (sqrt -1/4))))) (+ (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -4) (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))) (+ (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) (pow (sqrt -4) 3)))) (+ (* 1/64 (/ (* a (pow b 5)) (* (pow c 2) (* (sqrt -4) (sqrt -1/4))))) (* 1/2 (/ (* b (* c (* (sqrt -4) (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (sqrt -1/4))))) (pow a 4))) (* 1/2 (/ (+ (* 1/32 (/ (* (pow b 3) (sqrt -4)) (* c (sqrt -1/4)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) (sqrt -4))))) (pow a 2))))))
(* 2 (* a (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* a (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))
(* a (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 2 (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))))
(* a (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* 2 (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))))))
(* a (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(* a (- (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (/ 1 b)) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(* a (- (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (/ 1 b)) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* a (- (+ (* 1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (/ 1 b)) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ 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))))) (* 1/2 (/ b a)))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (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))))))
(* 1/2 (/ (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) a))
(/ (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 1/2 (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) a)
(/ (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* 1/2 (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))) a)
(/ (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* 1/4 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (* 1/2 (- (/ 1 b) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))))) a)
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 1/4 (* (sqrt (/ c (pow a 3))) (* b (sqrt -4))))
(/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 1/4 (* (sqrt (/ c a)) (* b (sqrt -4))))) a)
(/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 1/4 (* (sqrt (/ c a)) (* b (sqrt -4)))))) a)
(/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 7) (pow (sqrt -4) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 1/4 (* (sqrt (/ c a)) (* b (sqrt -4))))))) a)
(* (sqrt (* a c)) (* b (sqrt -4)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* (sqrt (/ c a)) (* b (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* (sqrt (/ c a)) (* b (sqrt -4))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 7) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* (sqrt (/ c a)) (* b (sqrt -4)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ b (* -2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b)) (* -1 (/ (+ (* -4 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a))) a)))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b c))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 (/ b c))) a)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -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 (* (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 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))))))
(+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b)))))) (* -1/2 (/ (+ (* 1/8 (/ (pow b 3) c)) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))))))) (pow a 2))))
(+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b)))))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow b 3) c)) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))))))) (pow a 2))) (* -1/64 (/ (pow b 5) (* (pow a 3) (pow c 2))))))
(+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b)))))) (+ (* -1 (/ (+ (* 1/64 (/ (pow b 5) (pow c 2))) (* 1/2 (/ (+ (* -1/64 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 5) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b)))))) (+ (* -1/64 (/ (* a (pow b 5)) (pow c 2))) (* 2 (* b (* c (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))))) a))) (pow a 3))) (* -1/2 (/ (+ (* 1/8 (/ (pow b 3) c)) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))))))) (pow a 2)))))
(* 2 (* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))))
(* -1 (* a (+ (* -2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* a (+ (* -2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* a (+ (* -2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (+ (* -1 (/ (+ (* 1/32 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))))))) (pow a 3))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))))))
(* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b)))
(* -1 (* a (- (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b)))))
(* -1 (* a (- (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (/ 1 b))))))
(* -1 (* a (- (* -1 (/ (- (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))))) (* -1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (/ 1 b))))))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* -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 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 (/ a b))
(* 2 a)
(* 2 a)
(* 2 a)
(* 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))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* 1/2 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b)) a))
(* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))) a))
(* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))) a))
(* -1 (/ (+ (* -1 (/ (+ (* 1/128 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))))))) (pow a 3))) (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))) 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))))
(* -1/2 (* (sqrt (/ c (pow a 3))) (* b (sqrt -1))))
(* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))) a))
(* -1 (/ (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1)))))) a))
(* -1 (/ (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2048 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 7) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))))) a))
(* -2 (* (sqrt (* a c)) (* b (sqrt -1))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1))))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 7) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))))))))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c b)))
(* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))))
(* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* 4 (/ (* (pow a 3) c) (pow b 5)))))))
(*.f64 c (fma.f64 c (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* 4 (/ (pow a 3) (pow b 5)))))))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(* -1 (/ b (* a c)))
(/.f64 (neg.f64 b) (*.f64 a c))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) c)
(/.f64 (fma.f64 c (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (neg.f64 b) a)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) c)
(/.f64 (fma.f64 c (fma.f64 c (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) (/.f64 (neg.f64 b) a)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
#s(literal 0 binary64)
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(/.f64 (neg.f64 c) b)
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
(+.f64 #s(literal 0 binary64) (*.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))))
(* 1/2 (/ b a))
(*.f64 #s(literal 1/2 binary64) (/.f64 b a))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 b a) (/.f64 (neg.f64 c) b))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(fma.f64 c (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* 1/2 (* c (+ (* 1/2 (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)) (* 4 (/ a (pow b 3)))))) (/ 1 b)))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))) a) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* 1/2 (* c (+ (* -1 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (+ (* 1/2 (/ (* (pow b 3) (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a)) (* 4 (/ (pow a 2) (pow b 5))))))) (* 1/2 (+ (* 1/2 (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)) (* 4 (/ a (pow b 3))))))) (/ 1 b)))
(*.f64 c (fma.f64 c (*.f64 #s(literal 1/2 binary64) (fma.f64 c (fma.f64 (neg.f64 b) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64)) b)) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 8 binary64)))) a)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))) a) (*.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* 1/2 (+ (* 1/2 (/ (* (pow b 3) (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) a)) (* 4 (/ a (pow b 3))))) (* c (+ (* 1/2 (* c (+ (* -1 (* b (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) b)) (+ (* 1/2 (/ (* (pow b 3) (+ (* -256 (/ (pow a 4) (pow b 10))) (+ (* -2 (/ (* a (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) (pow b 2))) (* 1/4 (* (pow b 2) (pow (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) 2)))))) a)) (* 8 (/ (pow a 3) (pow b 7)))))))) (* 1/2 (+ (* -1 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (+ (* 1/2 (/ (* (pow b 3) (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))) a)) (* 4 (/ (pow a 2) (pow b 5)))))))))) (/ 1 b)))
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(* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1))))) a))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) b))))) a)
(* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))) a))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) b)) (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))))) a)
(* -1 (/ (+ (* -1 (/ (+ (* 1/128 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))))))) (pow a 3))) (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ 1 b))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))) a))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) b)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) (pow.f64 c #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 a #s(literal 3 binary64))))) a)
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a)))
(* -1/2 (* (sqrt (/ c (pow a 3))) (* b (sqrt -1))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))) a))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) a)
(* -1 (/ (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1)))))) a))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/256 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))) a)
(* -1 (/ (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2048 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 7) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))))) a))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/256 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2048 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) a)
(* -2 (* (sqrt (* a c)) (* b (sqrt -1))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1))))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 7) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))))

rewrite253.0ms (2.4%)

Memory
3.4MiB live, 321.6MiB allocated
Rules
5 748×lower-/.f32
5 730×lower-/.f64
5 080×lower-fma.f32
5 072×lower-fma.f64
4 826×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061364
0103364
1396342
22910341
09397340
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 235
Calls
Call 1
Inputs
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
(*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))))
(pow.f64 a #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
(/.f64 #s(literal -1 binary64) b)
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(neg.f64 b)
(/.f64 #s(literal 1/2 binary64) a)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 a b)
(fma.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 a #s(literal 2 binary64)) b)
(*.f64 a #s(literal 2 binary64))
(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 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(*.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)
Outputs
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eval538.0ms (5.1%)

Memory
57.6MiB live, 816.2MiB allocated
Compiler

Compiled 91 555 to 7 892 computations (91.4% saved)

prune179.0ms (1.7%)

Memory
-26.9MiB live, 454.5MiB allocated
Pruning

51 alts after pruning (48 fresh and 3 done)

PrunedKeptTotal
New2 474212 495
Fresh502777
Picked325
Done112
Total2 528512 579
Accuracy
100.0%
Counts
2 579 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
54.7%
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
55.8%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
55.1%
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a))
55.5%
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
56.0%
(/.f64 (fma.f64 (*.f64 (neg.f64 a) #s(literal 1/2 binary64)) b (*.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a a))
54.9%
(/.f64 (fma.f64 (*.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64) (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
55.9%
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
99.1%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (*.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))))) b) #s(literal -1 binary64)))))
99.2%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) #s(literal -1 binary64)))))
99.1%
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
88.8%
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 #s(approx (neg (+ (* (+ (* (neg c) (/ (neg (/ c (pow b 3))) (* b b))) (+ (* (/ -1/4 c) (/ (* (* (/ (pow c 4) (pow b 6)) 20) b) c)) (/ (* 2 (* c c)) (pow b 5)))) a) (neg (/ c (pow b 3))))) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)))
57.1%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 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)))
55.5%
(/.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))))))
99.1%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
99.2%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
55.0%
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
55.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
55.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
36.8%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
55.5%
(/.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
99.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a)
97.8%
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))))
64.5%
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
82.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a))
55.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
55.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
99.3%
(-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))))
55.0%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
54.7%
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
99.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)))
55.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
99.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
99.2%
(*.f64 (*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64)))
55.5%
(*.f64 (neg.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) b)))) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64)))
82.5%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
82.3%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c))
82.4%
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))))
88.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 #s(approx (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) (/.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 c) b)))
64.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
64.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
64.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (+ (* (* a -2) (/ (pow c 3) (pow b 5))) (* (neg c) (/ c (pow b 3)))) a) (/ (neg c) b)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 b b) c (*.f64 (*.f64 c c) a))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))))
64.6%
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a))
3.2%
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
Compiler

Compiled 5 606 to 1 564 computations (72.1% saved)

regimes196.0ms (1.9%)

Memory
29.4MiB live, 492.4MiB allocated
Counts
161 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (/.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) 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))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) 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))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64) (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 (neg.f64 a) #s(literal 1/2 binary64)) b (*.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(/.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 (/.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 c (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c))))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
(fma.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 (*.f64 a b) a) (/.f64 #s(literal 1/2 binary64) a))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
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(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) c)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (/.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) c) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) a (neg.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) b)) a (/.f64 b (neg.f64 c))) a)))
Outputs
(-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))))
Calls

4 calls:

50.0ms
a
47.0ms
b
47.0ms
c
44.0ms
(/.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
99.3%1a
99.3%1b
99.3%1c
99.3%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))
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes99.0ms (0.9%)

Memory
-60.6MiB live, 224.0MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (/.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) 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))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) 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))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64) (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 (neg.f64 a) #s(literal 1/2 binary64)) b (*.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(/.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 (/.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 c (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c))))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 a #s(literal 4 binary64)) c (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))))
(fma.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 (*.f64 a b) a) (/.f64 #s(literal 1/2 binary64) a))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
(fma.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) b) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) b (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 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)))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 a b) (/.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (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 #s(literal 1 binary64) (/.f64 (*.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
(*.f64 (-.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(fma.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) (/.f64 (/.f64 a b) (/.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 b #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) a))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) b)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) b)
Outputs
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a)
Calls

4 calls:

34.0ms
b
21.0ms
c
20.0ms
(/.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))
20.0ms
a
Results
AccuracySegmentsBranch
99.3%1a
99.3%1b
99.3%1c
99.3%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))
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes52.0ms (0.5%)

Memory
12.7MiB live, 93.8MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (/.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) 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))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) a) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 a a))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) 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))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 1/2 binary64) (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) a) (*.f64 a (*.f64 b #s(literal 1/2 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (*.f64 (neg.f64 a) #s(literal 1/2 binary64)) b (*.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
Calls

4 calls:

14.0ms
b
12.0ms
c
12.0ms
(/.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))
11.0ms
a
Results
AccuracySegmentsBranch
82.5%1a
86.0%2b
82.5%1c
86.7%2(/.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 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (/.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
#s(approx (/ (pow a -1) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
Calls

1 calls:

6.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
86.7%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes37.0ms (0.4%)

Memory
-6.1MiB live, 32.0MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (/.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.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:

19.0ms
(/.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))
6.0ms
b
6.0ms
a
6.0ms
c
Results
AccuracySegmentsBranch
70.7%2c
69.0%2a
74.6%2b
75.5%2(/.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 23 computations (-15% saved)

regimes6.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.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 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

5.0ms
(/.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
75.5%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes19.0ms (0.2%)

Memory
-0.5MiB live, 39.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) b)))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (- (* (* (sqrt (+ (* (* -4 c) a) (* b b))) 1/2) a) (* a (* b 1/2))) (neg.f64 (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 #s(literal 0 binary64) b)) c)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

6.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
4.0ms
b
4.0ms
c
4.0ms
a
Results
AccuracySegmentsBranch
64.6%1a
64.6%1c
64.6%1b
64.6%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))
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes8.0ms (0.1%)

Memory
-18.0MiB live, 19.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
Outputs
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
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
c
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
3.2%1a
3.2%1b
3.2%1c
3.2%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))
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.11443628048166012
-0.11055320537567322
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.11443628048166012
-0.11055320537567322
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003129655767062117
-0.003062709953221264
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003129655767062117
-0.003062709953221264
Compiler

Compiled 20 to 20 computations (0% saved)

simplify59.0ms (0.6%)

Memory
-14.1MiB live, 69.2MiB allocated
Algorithm
egg-herbie
Rules
370×distribute-lft-neg-in-binary64-*.f64-neg.f64
244×neg-mul-1-binary64-*.f64-neg.f64
198×neg-sub0-binary64--.f64-neg.f64
194×cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64
162×distribute-neg-in-binary64-+.f64-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082374
1121369
2165369
3209368
4262367
5347367
6485367
7682367
8854367
91000367
101118367
111201367
121238367
131256367
141259367
151261367
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.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(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a)
(if (<=.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)) #s(literal -8070450532247929/72057594037927936 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))))
(if (<=.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)) #s(literal -8070450532247929/72057594037927936 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)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))))
(if (<=.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)) #s(literal -7148113328562451/2305843009213693952 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) 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 (/.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(literal -7148113328562451/2305843009213693952 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))
Outputs
(-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))))
(-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))) a)
(/.f64 (*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -4 c) a) (* 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)) #s(literal -1/2 binary64)) a)
(if (<=.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)) #s(literal -8070450532247929/72057594037927936 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64))) #s(literal -8070450532247929/72057594037927936 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (*.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b))))
(if (<=.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)) #s(literal -8070450532247929/72057594037927936 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)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64))) #s(literal -8070450532247929/72057594037927936 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 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (neg.f64 b))))
(if (<=.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)) #s(literal -7148113328562451/2305843009213693952 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) 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 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64))) #s(literal -7148113328562451/2305843009213693952 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.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)) #s(literal -7148113328562451/2305843009213693952 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 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64))) #s(literal -7148113328562451/2305843009213693952 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)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (+ (* (neg b) (/ 1/2 a)) (* (/ 1/2 a) (sqrt (+ (* (* -4 c) a) (* b b))))) #s(literal 0 binary64))

soundness1.2s (11.2%)

Memory
10.8MiB live, 801.7MiB allocated
Rules
11 458×lower-fma.f64
11 458×lower-fma.f32
7 766×lower-*.f64
7 766×lower-*.f32
7 074×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227419974
1648019560
0815918838
059380
099374
1400360
23487354
09369354
05453273
117383232
260703204
082353047
061364
0103364
1396342
22910341
09397340
0236919662
1691719253
0806018636
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
node limit
iter limit
iter limit
node limit
Compiler

Compiled 684 to 296 computations (56.7% saved)

preprocess96.0ms (0.9%)

Memory
7.3MiB live, 83.6MiB allocated
Compiler

Compiled 530 to 146 computations (72.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...