Quadratic roots, wide range

Time bar (total: 11.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze204.0ms (1.8%)

Memory
-21.9MiB live, 618.2MiB 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
6.8%0%0%100%0%0%0%7
15.9%0%0%100%0%0%0%8
23.1%0%0%100%0%0%0%9
36.5%0%0%100%0%0%0%10
45.4%0%0%100%0%0%0%11
52.3%0%0%100%0%0%0%12
Compiler

Compiled 41 to 28 computations (31.7% saved)

sample2.1s (19.2%)

Memory
54.1MiB live, 6 188.0MiB allocated
Samples
1.3s6 636×1valid
193.0ms1 620×0valid
135.0ms1 116×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 271.0ms (22% of total)
const: 168.0ms (13.6% of total)
adjust: 165.0ms (13.4% of total)
ival-<: 130.0ms (10.5% of total)
ival-sqrt: 119.0ms (9.7% of total)
ival-div: 108.0ms (8.8% of total)
ival-sub: 83.0ms (6.7% of total)
ival-add: 83.0ms (6.7% of total)
ival-neg: 51.0ms (4.1% of total)
ival-and: 36.0ms (2.9% of total)
exact: 15.0ms (1.2% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain178.0ms (1.6%)

Memory
-2.0MiB live, 557.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2501(0.00040799740204431484 0.00012172996699650662 5.148008322162597e-8)2(3.8504774306936034e-7 1.684529278147496e-14 6.3837607552589514e-24)(+.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))))cancellation2492
Confusion
Predicted +Predicted -
+2482
-15
Precision
0.9959839357429718
Recall
0.992
Confusion?
Predicted +Predicted MaybePredicted -
+24820
-105
Precision?
0.9960159362549801
Recall?
1.0
Freqs
test
numberfreq
07
1249
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms398×1valid
11.0ms114×0valid
Compiler

Compiled 164 to 46 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 15.0ms (31.4% of total)
adjust: 7.0ms (14.7% of total)
ival-sqrt: 7.0ms (14.7% of total)
ival-div: 6.0ms (12.6% of total)
ival-add: 5.0ms (10.5% of total)
ival-sub: 5.0ms (10.5% of total)
ival-neg: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess129.0ms (1.2%)

Memory
5.2MiB live, 126.6MiB 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 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.0%
(/.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))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify87.0ms (0.8%)

Memory
-22.4MiB live, 97.6MiB 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 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.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 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize57.0ms (0.5%)

Memory
9.5MiB live, 169.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy0.08041000976844201
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy0.21875
(/.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))
accuracy51.11637983146846
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Samples
34.0ms199×1valid
5.0ms57×0valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 7.0ms (28.7% of total)
ival-div: 4.0ms (16.4% of total)
adjust: 3.0ms (12.3% of total)
ival-sub: 3.0ms (12.3% of total)
ival-sqrt: 3.0ms (12.3% of total)
ival-add: 2.0ms (8.2% of total)
ival-neg: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-1.4MiB live, 77.2MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (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>) () ())) ())
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#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
Calls

39 calls:

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

simplify246.0ms (2.2%)

Memory
25.8MiB live, 582.4MiB allocated
Algorithm
egg-herbie
Rules
11 458×lower-fma.f64
11 458×lower-fma.f32
7 766×lower-*.f64
7 766×lower-*.f32
2 546×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite225.0ms (2%)

Memory
-34.9MiB live, 524.8MiB allocated
Rules
4 850×lower-fma.f64
4 850×lower-fma.f32
3 904×lower-*.f32
3 896×lower-*.f64
2 332×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval95.0ms (0.9%)

Memory
11.7MiB live, 286.6MiB allocated
Compiler

Compiled 22 484 to 2 093 computations (90.7% saved)

prune121.0ms (1.1%)

Memory
23.6MiB live, 389.8MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New57221593
Fresh000
Picked101
Done000
Total57321594
Accuracy
99.6%
Counts
594 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.1%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
19.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
20.7%
(/.f64 (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
20.4%
(/.f64 (-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
20.0%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
20.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 #s(literal 2 binary64) a))
95.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)) (*.f64 #s(literal 2 binary64) a))
93.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a))
93.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a))
88.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
20.1%
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
19.8%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
20.0%
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
97.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) b))
95.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
88.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
97.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
96.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (neg.f64 (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))))
95.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
93.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))))
93.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
Compiler

Compiled 1 384 to 724 computations (47.7% saved)

simplify202.0ms (1.8%)

Memory
-16.9MiB live, 500.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b)
cost-diff0
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
cost-diff320
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)))
cost-diff2624
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
cost-diff1152
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
cost-diff0
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 c (neg.f64 b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
cost-diff704
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
cost-diff960
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
cost-diff5184
(pow.f64 b #s(literal 5 binary64))
Rules
6 204×lower-*.f32
6 158×lower-*.f64
5 276×lower-fma.f32
5 266×lower-fma.f64
3 870×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075825
0130773
1260731
2685707
32519690
45410690
08714690
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(*.f64 c c)
c
(/.f64 a (*.f64 b b))
a
(*.f64 b b)
b
(*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))
(*.f64 a a)
(fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))
(pow.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 20 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 a b)
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64))
(*.f64 c (*.f64 c c))
#s(literal -2 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 #s(literal -2 binary64) (*.f64 a a))
#s(literal -2 binary64)
(*.f64 a a)
a
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 c (*.f64 c c))
c
(*.f64 c c)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b b)
b
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(/.f64 a (*.f64 b b))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b)
(sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))
#s(literal -16 binary64)
(*.f64 a (*.f64 c (*.f64 a c)))
a
(*.f64 c (*.f64 a c))
c
(*.f64 a c)
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))
(*.f64 a (*.f64 #s(literal 4 binary64) c))
(*.f64 #s(literal 4 binary64) c)
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #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 a (/.f64 (*.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a #s(literal -1/4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a)) (neg.f64 c)) b)))
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
(fma.f64 a (/.f64 (*.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a #s(literal -1/4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a)) (neg.f64 c)) b))
(neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(neg.f64 (/.f64 (fma.f64 c (*.f64 a (/.f64 c (*.f64 b b))) c) b))
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)
(/.f64 (fma.f64 c (*.f64 a (/.f64 c (*.f64 b b))) c) b)
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(fma.f64 c (*.f64 a (/.f64 c (*.f64 b b))) c)
(*.f64 c c)
c
(/.f64 a (*.f64 b b))
a
(*.f64 b b)
b
(*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 (/.f64 a (pow.f64 b #s(literal 7 binary64))) #s(literal -1/4 binary64)))))
(*.f64 a a)
(fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 c (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (*.f64 (/.f64 a (pow.f64 b #s(literal 7 binary64))) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
(/.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))
(pow.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 20 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 a b)
#s(literal -1/4 binary64)
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64))
(*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64)))
(*.f64 c (*.f64 c c))
#s(literal -2 binary64)
(pow.f64 b #s(literal 5 binary64))
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))
#s(literal 5 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a)) (neg.f64 c)) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a)) (neg.f64 c)) b)
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
(fma.f64 (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b))) (neg.f64 a)) (neg.f64 c))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) c))) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 #s(literal -2 binary64) (*.f64 a a))
(*.f64 a (*.f64 a #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 a a)
a
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 c (*.f64 c c))
c
(*.f64 c c)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(fma.f64 c (*.f64 a (/.f64 c (*.f64 b b))) c)
(/.f64 a (*.f64 b b))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))) b)
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)))
(*.f64 b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c c))))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b)
(*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c c)))))))
(sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))))
(sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c c))))))
(fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c c)))))
#s(literal -16 binary64)
(*.f64 a (*.f64 c (*.f64 a c)))
(*.f64 a (*.f64 a (*.f64 c c)))
a
(*.f64 c (*.f64 a c))
(*.f64 a (*.f64 c c))
c
(*.f64 a c)
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))
(fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 a (*.f64 #s(literal 4 binary64) c))
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(*.f64 #s(literal 4 binary64) c)
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)
(*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize312.0ms (2.8%)

Memory
16.4MiB live, 936.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))
accuracy0.28515625
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy0.35384750976844204
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))
accuracy51.22883664003937
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)))
accuracy0.29134750976844204
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
accuracy0.3411712890737681
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
accuracy0.4296875
(*.f64 (*.f64 b b) (*.f64 b b))
accuracy2.56435718980333
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
accuracy0.046875
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
accuracy0.08203125
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
accuracy0.21875
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
accuracy51.11637983146846
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
accuracy0
(/.f64 c (neg.f64 b))
accuracy0
(neg.f64 b)
accuracy7.410027646736555
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy0.32421875
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
accuracy0.37109375
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
accuracy0.38119125976844204
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
accuracy1.801350799756685
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
Samples
180.0ms199×1valid
29.0ms57×0valid
Compiler

Compiled 773 to 75 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-mult: 55.0ms (35.3% of total)
ival-div: 30.0ms (19.2% of total)
adjust: 19.0ms (12.2% of total)
ival-add: 14.0ms (9% of total)
ival-sqrt: 13.0ms (8.3% of total)
ival-sub: 10.0ms (6.4% of total)
ival-pow: 10.0ms (6.4% of total)
ival-neg: 4.0ms (2.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series170.0ms (1.5%)

Memory
-12.2MiB live, 467.0MiB allocated
Counts
25 → 756
Calls
Call 1
Inputs
#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (patch (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #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)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ())
#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (patch (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (*.f64 b b)) (patch (*.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) (patch (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 5) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c))))) (taylor inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (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))))))) (taylor inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ (+ (/ 1 (* b c)) (/ a (pow b 3))) (pow c 2)))))) (taylor inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) (patch (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))) #<representation binary64>) () ())) ())
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#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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) (patch (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b) #<representation binary64>) () ())) ())
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#s(alt (+ (* a (+ (* 2 (* b c)) (* a (+ (* -2 (/ (pow c 2) b)) (* 4 (/ (* a (pow c 3)) (pow b 3))))))) (pow b 3)) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (sqrt (* a c)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2))))) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2)))))) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b 8))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2 (* a (* b c))) (pow b 3)) (taylor 0 c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
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#s(alt (+ (* c (+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* 4 (/ (* (pow a 3) c) (pow b 3))))))) (pow b 3)) (taylor 0 c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (sqrt (* a c)) (pow b 2))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2)))))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (taylor -inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))) (taylor -inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))) (taylor -inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

189 calls:

TimeVariablePointExpression
11.0ms
b
@0
(* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))
6.0ms
c
@-inf
(/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b))
5.0ms
a
@inf
(/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b))
5.0ms
b
@0
(* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b))))
5.0ms
b
@0
(/ (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (* 2 a))

simplify368.0ms (3.3%)

Memory
21.3MiB live, 894.0MiB allocated
Algorithm
egg-herbie
Rules
6 314×lower-*.f64
6 314×lower-*.f32
6 092×lower-+.f64
6 092×lower-+.f32
5 746×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200521144
1561820905
0897820142
Stop Event
iter limit
node limit
Counts
756 → 753
Calls
Call 1
Inputs
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(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))) (/ a (pow b 3)))) (/ 1 b)))
(* c (- (* c (- (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -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 (/ (+ (/ 1 (* b c)) (/ a (pow b 3))) (pow c 2))))))
(* -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 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (+ (/ 1 (* b (pow c 2))) (/ a (* (pow b 3) c)))) c))))
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(- (* a (- (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (- (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ c (* (pow a 3) b))))) (/ (pow c 2) (* (pow a 2) (pow b 3)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -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 (* (pow b 2) c)) (* a (pow c 2))))))) (pow b 7))
(* -1 (/ c b))
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* 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)))) (+ c (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (pow b 7)))
(* 20 (/ (* a (pow c 4)) (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) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
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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)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c)
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c)
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2)))))
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))))
(* -1 c)
(* c (- (* -1 (/ (* a c) (pow b 2))) 1))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c)))))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c))))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c)))))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c))))))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 4))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4))
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (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)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ 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 (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -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 (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* -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))))
(* -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)))
(* -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)))))
(* -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))))))
(* -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))
(* -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)
(* -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))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* a (- (+ (* -32 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))))) (+ (* 8 (/ (pow c 4) (pow b 7))) (* b (* c (+ (* 2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow c 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) b)))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* 1/2 (* (sqrt (/ a c)) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b)))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3)))))))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))))))
(* a (+ (* -1 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 9) c))) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b 5)))))))))))))
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)))
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) a)) (* -1/128 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow a 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (* 4 (/ (pow a 2) (pow b 3)))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (* c (- (+ (* -32 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))))) (+ (* 8 (/ (pow a 4) (pow b 7))) (* a (* b (+ (* 2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow a 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* 1/2 (* (sqrt (/ c a)) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b)))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3)))))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))))))
(* c (+ (* -1 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3)))))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 9)))) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow c 3) (pow a 3))) (pow b 5)))))))))))))
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) c)) (* -1/128 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow c 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -16)))
(+ (* -1 b) (* 1/2 (* (sqrt (* a c)) (sqrt -16))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -16))) (* b (- (* -1/16 (* (sqrt (/ 1 (* a c))) (* b (sqrt -16)))) 1)))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -16))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* a c))) (sqrt -16))) (* (pow b 2) (+ (* 3/256 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -16))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -16)))))))) 1)))
(* -2 (/ (* a c) b))
(/ (- (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -2 (* a c)) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* a (* c (- (* -8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (/ (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (pow b 4))))))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* a (* c (- (* -8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (- (* -8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (/ (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (pow b 4)) (/ (* a (* c (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 64 (* (pow a 3) (pow c 3)))))) (pow b 6))))))))))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -1 (/ (+ (* -2 (* a c)) (* 4 (* a c))) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -2 (* a c)) (* 4 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -16 (* (pow a 2) (pow c 2))) (* 16 (* (pow a 2) (pow c 2)))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (+ (* -2 (* a (* c (- (* 8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2))))))) (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (+ (* 64 (* (pow a 3) (pow c 3))) (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (+ (* -1 (/ (+ (* -2 (* a c)) (* 4 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -16 (* (pow a 2) (pow c 2))) (* 16 (* (pow a 2) (pow c 2)))) (* -2 (* (pow a 2) (pow c 2)))) (pow b 4))))))))
(* -2 (* a (* b c)))
(* a (- (* a (- (* -8 (/ (pow c 2) b)) (* -2 (/ (pow c 2) b)))) (* 2 (* b c))))
(* a (- (* a (- (+ (* -8 (/ (pow c 2) b)) (* -4 (/ (* a (pow c 3)) (pow b 3)))) (* -2 (/ (pow c 2) b)))) (* 2 (* b c))))
(* a (- (* a (- (+ (* -8 (/ (pow c 2) b)) (* a (- (* a (- (* -32 (/ (pow c 4) (pow b 5))) (* -1/2 (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))))) (* 4 (/ (pow c 3) (pow b 3)))))) (* -2 (/ (pow c 2) b)))) (* 2 (* b c))))
(* a (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))))
(* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2)))))))
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b 8))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))))
(* -1 (* a (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))))
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))))
(* -2 (* a (* b c)))
(* c (- (* c (- (* -8 (/ (pow a 2) b)) (* -2 (/ (pow a 2) b)))) (* 2 (* a b))))
(* c (- (* c (- (+ (* -8 (/ (pow a 2) b)) (* -4 (/ (* (pow a 3) c) (pow b 3)))) (* -2 (/ (pow a 2) b)))) (* 2 (* a b))))
(* c (- (* c (- (+ (* -8 (/ (pow a 2) b)) (* c (- (* c (- (* -32 (/ (pow a 4) (pow b 5))) (* -1/2 (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))))) (* 4 (/ (pow a 3) (pow b 3)))))) (* -2 (/ (pow a 2) b)))) (* 2 (* a b))))
(* c (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))))
(* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2)))))))
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 6))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b 8))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))))
(* -1 (* c (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))))
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))))
(* a (* b (* c (sqrt -16))))
(* b (+ (* -2 (* (sqrt (* a c)) b)) (* a (* c (sqrt -16)))))
(* b (+ (* a (* c (sqrt -16))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (pow b 2))) (* 2 (sqrt (* a c)))))))
(* b (+ (* a (* c (sqrt -16))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -16))))) (* 1/4 (sqrt (/ 1 (* a c)))))) (* 2 (sqrt (* a c)))))))
(* -2 (* a (* b c)))
(* b (- (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 2 (* a c)))))
(* b (- (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 2 (* a c)))))
(* b (- (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -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))) (+ (* 2 (* a c)) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))))
(* 2 (pow b 3))
(* -1 (* (pow b 3) (- (* -2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* (pow b 3) (- (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))))))
(* -1 (* (pow b 3) (- (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ 2 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* 1/2 (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3)))))))
(+ (* -1 (/ c b)) (* a (+ (* 1/2 (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (* 1/2 (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3))))))))
(+ (* -1 (/ c b)) (* a (+ (* 1/2 (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/2 (* a (- (+ (* -32 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))))) (+ (* 8 (/ (pow c 4) (pow b 7))) (* b (* c (+ (* 2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow c 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/2 (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))))))))
(* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b)))
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (pow a 2))))
(+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (pow a 2)))))
(+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (* a c)) (/ (* (+ (* 1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b 5)))))))) (pow a 4))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (pow a 2))))))
(* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* -1/2 (/ (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow a 2))))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (+ (* -1/2 (/ (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow a 2))) (* -1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))))
(+ (* -1 (/ (+ (* 1/256 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) a))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* -1/2 (/ (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow a 2)))))
(* -1 (/ c b))
(* c (- (* 1/2 (* c (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3)))))) (/ 1 b)))
(* c (- (* c (+ (* 1/2 (* c (+ (* -4 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))) (pow b 3))) (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))) (* 1/2 (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3))))))) (/ 1 b)))
(* c (- (* c (+ (* 1/2 (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3))))) (* c (+ (* 1/2 (* c (- (+ (* -32 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))))) (+ (* 8 (/ (pow a 3) (pow b 7))) (* b (+ (* 2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow a 3) (pow b 8)))))))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/2 (+ (* -4 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))) (pow b 3))) (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))))) (/ 1 b)))
(* 1/4 (* (sqrt (/ c (pow a 3))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2)))))
(* c (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2))))))
(* c (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* (+ (* 1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow c 3) (pow a 5))) (pow b 5)))))))) (pow c 4))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2)))))))
(* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2))))))
(* -1 (* c (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) c)) (* -1/256 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2)))))))
(* 1/4 (* (sqrt (/ c a)) (sqrt -16)))
(+ (* -1/2 (/ b a)) (* 1/4 (* (sqrt (/ c a)) (sqrt -16))))
(+ (* 1/4 (* (sqrt (/ c a)) (sqrt -16))) (* b (- (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -16)))) (* 1/2 (/ 1 a)))))
(+ (* 1/4 (* (sqrt (/ c a)) (sqrt -16))) (* b (- (* b (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -16))) (* 1/2 (* (pow b 2) (+ (* 3/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -16))) (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -16))))))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2)))) b)
(/ (+ (* -1 c) (+ (* 1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2))))) b)
(/ (+ (* -1 c) (+ (* 1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (+ (* 1/2 (/ (- (+ (* -32 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2)))))) (+ (* 8 (* (pow a 3) (pow c 4))) (* c (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 64 (* (pow a 3) (pow c 3)))))))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2)))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (+ (* -1/2 (/ (- (+ (* -16 (* a (pow c 2))) (* 16 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* 8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (+ (* 2 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (+ (* 64 (* (pow a 2) (pow c 3))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (+ (* -1/2 (/ (- (+ (* -16 (* a (pow c 2))) (* 16 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(pow b 3)
(+ (* -8 (/ (* (pow a 2) (pow c 2)) b)) (pow b 3))
(+ (* (pow a 2) (+ (* -32 (/ (* (pow a 2) (pow c 4)) (pow b 5))) (* -8 (/ (pow c 2) b)))) (pow b 3))
(+ (* (pow a 2) (+ (* -8 (/ (pow c 2) b)) (* (pow a 2) (+ (* -256 (/ (* (pow a 2) (pow c 6)) (pow b 9))) (* -32 (/ (pow c 4) (pow b 5))))))) (pow b 3))
(* a (* b (* c (sqrt -16))))
(* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))
(* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))))
(* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))))
(* -1 (* a (* b (* c (sqrt -16)))))
(* -1 (* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))))
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16)))))))
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -16))))) (* b (* c (sqrt -16))))))))
(pow b 3)
(+ (* -8 (/ (* (pow a 2) (pow c 2)) b)) (pow b 3))
(+ (* (pow c 2) (+ (* -32 (/ (* (pow a 4) (pow c 2)) (pow b 5))) (* -8 (/ (pow a 2) b)))) (pow b 3))
(+ (* (pow c 2) (+ (* -8 (/ (pow a 2) b)) (* (pow c 2) (+ (* -256 (/ (* (pow a 6) (pow c 2)) (pow b 9))) (* -32 (/ (pow a 4) (pow b 5))))))) (pow b 3))
(* a (* b (* c (sqrt -16))))
(* c (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))
(* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))))
(* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))))
(* -1 (* a (* b (* c (sqrt -16)))))
(* -1 (* c (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))))
(* -1 (* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16)))))))
(* -1 (* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -16) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -16) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -16))))) (* a (* b (sqrt -16))))))))
(* a (* b (* c (sqrt -16))))
(* b (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -16))))) (* a (* c (sqrt -16)))))
(* b (+ (* a (* c (sqrt -16))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -16) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -16)))))))))
(* b (+ (* a (* c (sqrt -16))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -16) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -16) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -16)))))))))
(pow b 3)
(* (pow b 3) (+ 1 (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(* (pow b 3) (+ 1 (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* (pow b 3) (+ 1 (+ (* -256 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)))
(* -1 (* (pow b 3) (- (+ (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 32 (/ (* (pow a 4) (pow c 4)) (pow b 8)))) 1)))
(* -1 (* (pow b 3) (- (+ (* 8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* 256 (/ (* (pow a 6) (pow c 6)) (pow b 12))))) 1)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (pow c 4) (pow b 6)))
(* 20 (/ (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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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 b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(* 2 (* (sqrt (* a c)) (pow b 2)))
(* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (pow b 2))) (* 2 (sqrt (* a c)))))
(* (pow b 2) (+ (* 2 (sqrt (* a c))) (* (pow b 2) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 2))) (* 1/4 (sqrt (/ 1 (* a c))))))))
(* (pow b 2) (+ (* 2 (sqrt (* a c))) (* (pow b 2) (+ (* 1/4 (sqrt (/ 1 (* a c)))) (* (pow b 2) (+ (* -1/64 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b 2)))))))))
(pow b 3)
(* (pow b 3) (+ 1 (* 2 (/ (* a c) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))
(* -1 (pow b 3))
(* -1 (* (pow b 3) (+ 1 (* 2 (/ (* a c) (pow b 2))))))
(* -1 (* (pow b 3) (+ 1 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))))
(* -1 (* (pow b 3) (+ 1 (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))))
(pow b 3)
(+ (* 2 (* a (* b c))) (pow b 3))
(+ (* a (+ (* -2 (/ (* a (pow c 2)) b)) (* 2 (* b c)))) (pow b 3))
(+ (* a (+ (* 2 (* b c)) (* a (+ (* -2 (/ (pow c 2) b)) (* 4 (/ (* a (pow c 3)) (pow b 3))))))) (pow b 3))
(* 2 (* (sqrt (* a c)) (pow b 2)))
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2)))))
(* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))
(* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b 6))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b 8))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b 4))) (* 2 (* (sqrt (/ c a)) (pow b 2)))))))
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))))
(pow b 3)
(+ (* 2 (* a (* b c))) (pow b 3))
(+ (* c (+ (* -2 (/ (* (pow a 2) c) b)) (* 2 (* a b)))) (pow b 3))
(+ (* c (+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* 4 (/ (* (pow a 3) c) (pow b 3))))))) (pow b 3))
(* 2 (* (sqrt (* a c)) (pow b 2)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2)))))
(* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 6))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))
(* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b 6))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b 8))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b 4))) (* 2 (* (sqrt (/ a c)) (pow b 2)))))))
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -4)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1)))))))))
Outputs
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(pow b 5)
(pow.f64 b #s(literal 5 binary64))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(*.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (- (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) c) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))))
(* (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)))))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 a (*.f64 (*.f64 b (*.f64 b b)) (*.f64 c c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ (+ (/ 1 (* b c)) (/ a (pow b 3))) (pow c 2))))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b c))) (*.f64 c c))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 5 binary64)) c)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 (*.f64 b (*.f64 b b)) c))) (neg.f64 c))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (+ (/ 1 (* b (pow c 2))) (/ a (* (pow b 3) c)))) c))))
(*.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (+.f64 (/.f64 a (*.f64 (*.f64 b (*.f64 b b)) c)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 c c))))) c)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(-.f64 (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))))) (/.f64 c b))
(- (* a (- (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c (neg.f64 b)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 c c) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b b))))))
(* (pow a 3) (- (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ c (* (pow a 3) b))))) (/ (pow c 2) (* (pow a 2) (pow b 3)))))
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 (fma.f64 #s(literal -5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 c) (*.f64 (*.f64 a (*.f64 a a)) b)))) (/.f64 (*.f64 c c) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b b))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (pow.f64 b #s(literal 5 binary64))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b (*.f64 b b))))) a)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 a b))) (neg.f64 a))) a))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
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(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
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rewrite278.0ms (2.5%)

Memory
3.1MiB live, 683.8MiB allocated
Rules
5 020×lower-*.f32
4 974×lower-*.f64
4 938×lower-fma.f32
4 928×lower-fma.f64
3 092×lower-pow.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075530
0130494
1493442
23894434
08328434
Stop Event
iter limit
node limit
iter limit
Counts
25 → 699
Calls
Call 1
Inputs
(pow.f64 b #s(literal 5 binary64))
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
(neg.f64 b)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b)
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b)
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (*.f64 b b) (*.f64 b b))
(/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))
Outputs
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b))))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 5/2 binary64) (*.f64 (log.f64 b) #s(literal 5/2 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 b) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(pow.f64 b #s(literal 5 binary64))
(pow.f64 (*.f64 b b) #s(literal 5/2 binary64))
(pow.f64 (neg.f64 b) #s(literal 5 binary64))
(pow.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 b))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) b)
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)))
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (neg.f64 (pow.f64 b #s(literal 5/2 binary64))))
(*.f64 (neg.f64 (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)) (pow.f64 (*.f64 b (neg.f64 b)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)))
(+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(+.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(-.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (*.f64 b b)) (-.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))))) (/.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))))))
(-.f64 (fma.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) #s(literal 0 binary64)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(fma.f64 a (*.f64 a (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 a (*.f64 a (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(fma.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b) #s(literal -1 binary64) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(fma.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/4 binary64)) (*.f64 a a)) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/4 binary64) (*.f64 a a)) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 a a)) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 a a) (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(fma.f64 (*.f64 a (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))) a (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))) a) a (fma.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
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(*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 b (*.f64 c (*.f64 c c))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c c)) #s(literal -1 binary64)) (/.f64 c b))
(*.f64 (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))
(neg.f64 (*.f64 (*.f64 b b) (*.f64 b b)))
(pow.f64 b #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (*.f64 b (neg.f64 b)) #s(literal 2 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 (*.f64 b b) (*.f64 b (neg.f64 b)))
(*.f64 (neg.f64 b) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b (*.f64 b b)) b)
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 b (neg.f64 b)) (*.f64 b b))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b))))
(*.f64 b (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))))
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 b b))
(*.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) b)

eval674.0ms (6%)

Memory
-97.4MiB live, 763.1MiB allocated
Compiler

Compiled 67 501 to 4 708 computations (93% saved)

prune299.0ms (2.7%)

Memory
-9.4MiB live, 839.1MiB allocated
Pruning

39 alts after pruning (37 fresh and 2 done)

PrunedKeptTotal
New1 420321 452
Fresh11516
Picked325
Done000
Total1 434391 473
Accuracy
99.8%
Counts
1 473 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.8%
(fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
19.9%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a))))) b) (/.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)))) (*.f64 #s(literal 2 binary64) a))
19.9%
(/.f64 (fma.f64 b (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)))) (*.f64 #s(literal 2 binary64) a))
21.8%
(/.f64 (/.f64 (fma.f64 (*.f64 b (neg.f64 b)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a))))))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
20.9%
(/.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
20.2%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b))))) (fma.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)) (*.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)))))) (*.f64 #s(literal 2 binary64) a))
20.9%
(/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
20.4%
(/.f64 (-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
19.6%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64)))))
19.8%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
20.1%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
20.9%
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
20.9%
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
88.1%
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
95.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)) (*.f64 #s(literal 2 binary64) a))
88.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
20.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
20.1%
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
19.8%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
20.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
93.9%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
93.6%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
93.9%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
97.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
95.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) c) b))
95.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (*.f64 b (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) (*.f64 b b)))
95.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
93.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b))
88.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
88.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
95.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) b) (/.f64 c b)))
95.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
95.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))))
88.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
96.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))))))))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (neg.f64 (fma.f64 a (*.f64 c c) (*.f64 (*.f64 b b) c))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))))
96.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) c) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))))
96.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 a b))) (neg.f64 a))) a))))))
Compiler

Compiled 2 978 to 1 321 computations (55.6% saved)

simplify214.0ms (1.9%)

Memory
7.6MiB live, 521.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
cost-diff384
(/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
cost-diff384
(/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
cost-diff4096
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
cost-diff0
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
cost-diff320
(*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
cost-diff384
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
cost-diff896
(-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b 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
(fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))
cost-diff0
(fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
cost-diff320
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64))))
Rules
6 918×lower-fma.f32
6 908×lower-fma.f64
5 740×lower-*.f32
5 698×lower-*.f64
2 464×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067757
0115686
1236604
2686574
33409564
44647564
08743561
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 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))
c
(*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(*.f64 c c)
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
#s(literal -2 binary64)
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 b b)
b
(*.f64 b (*.f64 b b))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64))))
#s(literal -1/4 binary64)
(*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))
a
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64))
(*.f64 c (*.f64 c (*.f64 c c)))
(*.f64 c (*.f64 c c))
#s(literal 20 binary64)
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 a a)
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(/.f64 a (*.f64 b b))
(neg.f64 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
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 b b)
b
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
#s(literal 1 binary64)
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 b b)
b
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))
(*.f64 a (*.f64 #s(literal 4 binary64) c))
(*.f64 #s(literal 4 binary64) c)
#s(literal 4 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 c (*.f64 c c)) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (*.f64 a a)) (/.f64 (fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c) b)))
(fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(-.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 c (*.f64 c c)) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (*.f64 a a)) (/.f64 (fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c) b))
(fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 c (*.f64 c c)) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))))
c
(*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 c (*.f64 c #s(literal -2 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 c c)
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))
(/.f64 #s(literal -2 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))
#s(literal -2 binary64)
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b b)
b
(*.f64 b (*.f64 b b))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64))))
(*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64))
#s(literal -1/4 binary64)
(*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))
a
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64))
(*.f64 c (*.f64 c (*.f64 c c)))
(*.f64 c (*.f64 c c))
#s(literal 20 binary64)
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 a a)
(/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))
(neg.f64 (/.f64 (fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c) b))
(fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)
(fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c)
(/.f64 a (*.f64 b b))
(neg.f64 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 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(/.f64 c (neg.f64 b))
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
c
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) a)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 b b)
b
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))
(*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
(*.f64 #s(literal -4 binary64) (*.f64 a c))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
#s(literal 1 binary64)
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))
(/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 b b)
b
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))
(/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))
(fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))
(fma.f64 b b (*.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 a (*.f64 #s(literal 4 binary64) c))
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(*.f64 #s(literal 4 binary64) c)
#s(literal 4 binary64)

localize282.0ms (2.5%)

Memory
-34.6MiB live, 847.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
accuracy0.109375
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
accuracy0.140625
(/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
accuracy50.785537036729636
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
accuracy0.08203125
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
accuracy0.21875
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
accuracy0.38119125976844204
(*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
accuracy50.803539365932345
(-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
accuracy0.046875
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
accuracy0.08203125
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
accuracy0.33984375
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
accuracy51.11637983146846
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
accuracy0
(/.f64 #s(literal -1 binary64) b)
accuracy0.22265625
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
accuracy7.410027646736555
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
accuracy0.32421875
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
accuracy0.33041000976844204
(*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
accuracy0.4296875
(*.f64 (*.f64 b b) (*.f64 b b))
accuracy1.801350799756685
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
Samples
159.0ms204×1valid
22.0ms52×0valid
Compiler

Compiled 723 to 68 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-mult: 48.0ms (36.6% of total)
ival-div: 33.0ms (25.2% of total)
adjust: 16.0ms (12.2% of total)
ival-add: 15.0ms (11.4% of total)
ival-sub: 9.0ms (6.9% of total)
ival-sqrt: 7.0ms (5.3% of total)
ival-neg: 2.0ms (1.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series142.0ms (1.3%)

Memory
-4.0MiB live, 395.5MiB allocated
Counts
23 → 696
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) (patch (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))) #<representation binary64>) () ())
#s(alt (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (patch (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) #<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 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (patch (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (patch (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))) (patch (-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (patch (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (patch (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (*.f64 b b)) (patch (*.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (patch (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())
Outputs
#s(alt (* -5 (* a (pow c 4))) (taylor 0 a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor 0 a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor 0 a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor 0 a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor inf a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor inf a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor inf a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor inf a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor 0 c) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor 0 c) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor 0 c) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor 0 c) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor inf c) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor inf c) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor inf c) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -5 (* a (pow c 4))) (taylor inf c) (#s(alt (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (patch (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<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 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (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 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* a b)) a))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) c))) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))))) a)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* a b)) a))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* c (- (* 2 (/ a b)) (* -1/2 (/ a b))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (- (* 2 (/ a b)) (* -1/2 (/ a b)))) (pow b 2))) (* -1/2 (/ (pow a 2) (pow b 3)))))) (* 2 (/ a b))) (* -1/2 (/ a b))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* c (- (+ (* 2 (/ a b)) (* c (- (* -1 (* c (+ (* -1 (/ (* (pow a 2) (- (* 2 (/ a b)) (* -1/2 (/ a b)))) (pow b 4))) (+ (* -1 (/ (pow a 3) (pow b 5))) (/ (* a (+ (* -1 (/ (* a (- (* 2 (/ a b)) (* -1/2 (/ a b)))) (pow b 2))) (* -1/2 (/ (pow a 2) (pow b 3))))) (pow b 2)))))) (+ (* -1 (/ (* a (- (* 2 (/ a b)) (* -1/2 (/ a b)))) (pow b 2))) (* -1/2 (/ (pow a 2) (pow b 3))))))) (* -1/2 (/ a b))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow c 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (* 4 (/ b (pow (sqrt -4) 2)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)) c))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* b c)) c))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c))) a))) (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* b c)) c))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (patch (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ())) ())
Calls

174 calls:

TimeVariablePointExpression
13.0ms
c
@inf
(/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))
4.0ms
c
@0
(- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)))
4.0ms
b
@-inf
(- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)))
3.0ms
a
@-inf
(- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)))
3.0ms
b
@inf
(- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)))

simplify381.0ms (3.4%)

Memory
40.7MiB live, 913.9MiB allocated
Algorithm
egg-herbie
Rules
6 406×lower-*.f64
6 406×lower-*.f32
5 050×lower-fma.f64
5 050×lower-fma.f32
4 594×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0235020379
1684719758
0805519172
Stop Event
iter limit
node limit
Counts
696 → 693
Calls
Call 1
Inputs
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* -5 (* a (pow c 4)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ 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)))
(* -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)))))
(* -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))))
(* -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 (/ 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 (/ (* 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 (/ 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 (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
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(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (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)))))
(* -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)))))
(* -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)))))
(* -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))
(* -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))
(* -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)))
(* -2 (/ (pow c 3) (pow b 5)))
(+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))
(+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))
(+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))
(* -5 (/ (* a (pow c 4)) (pow b 7)))
(* a (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* -5 (/ (* a (pow c 4)) (pow b 7)))
(* -1 (* a (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -1 (/ 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 (* (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)))))))
(* (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)))
(* -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 (* (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)
(* (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 (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ 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)
(* -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 (/ (* 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))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -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))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b) (* 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)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -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)))))) (* 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))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -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))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b) (* 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)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -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)))))) (* 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))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(* -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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (+ (* 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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(- (* 2 (/ b (* a (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(- (* b (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(- (* b (+ (* b (- (+ (* -1 (* b (+ (* 1/2 (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 2)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))) (* 1/2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(/ (- (* 1/4 c) (* 1/2 (- (* 2 c) (* -1/2 c)))) b)
(/ (- (+ (* 1/4 c) (* 1/2 (/ (* a (pow c 2)) (pow b 2)))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))) (pow b 2))) (* 1/2 (- (* 2 c) (* -1/2 c))))) b)
(/ (- (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* 1/4 c) (* 1/2 (/ (* a (pow c 2)) (pow b 2))))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1/2 c))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))))))) (pow b 4))) (* 1/2 (- (* 2 c) (* -1/2 c)))))) b)
(/ (- (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* -1/2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) a)) (* a (* c (+ (* -2 (* (pow a 2) (pow c 3))) (* -1/2 (* (pow a 2) (pow c 3)))))))) (pow b 6))) (+ (* 1/4 c) (* 1/2 (/ (* a (pow c 2)) (pow b 2)))))) (+ (* -1/2 (/ (+ (* -2 (* (pow a 3) (* (pow c 3) (- (* 2 c) (* -1/2 c))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) a)) (+ (* a (* c (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1/2 c))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))))))))) (* (pow a 2) (* (pow c 2) (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2))))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1/2 c))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))))))) (pow b 4))) (* 1/2 (- (* 2 c) (* -1/2 c))))))) b)
(* -1 (/ b a))
(* -1 (* b (- (+ (* -1/2 (/ (+ (* -1 c) (* 1/2 c)) (pow b 2))) (/ 1 a)) (* -1/2 (/ (+ (* -3/2 c) (* -1 c)) (pow b 2))))))
(* -1 (* b (- (+ (* -1/2 (/ (+ (* -1 c) (* 1/2 c)) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 c) (* 1/2 c))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* a (pow c 2)))) (pow b 4))) (/ 1 a))) (+ (* -1/2 (/ (+ (* -3 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -3/2 c) (* -1 c))))) (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* -3/2 c) (* -1 c)) (pow b 2)))))))
(* -1 (* b (- (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -1 c) (* 1/2 c))))) (+ (* -1 (* a (* c (+ (* -1 (* a (* c (+ (* -1 c) (* 1/2 c))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 2 (* a (* c (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))))) (* 16 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 c) (* 1/2 c)) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 c) (* 1/2 c))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* a (pow c 2)))) (pow b 4))) (/ 1 a)))) (+ (* -1/2 (/ (+ (* -3 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -3/2 c) (* -1 c))))) (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -3/2 c) (* -1 c))))) (+ (* -1 (* a (* c (+ (* -3 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -3/2 c) (* -1 c))))) (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2))))))))) (+ (* -3/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* -1/8 (/ (+ (* 2 (* a (* c (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))))) (* 16 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2))))))) (pow b 6))) (* -1/2 (/ (+ (* -3/2 c) (* -1 c)) (pow b 2))))))))
(* -1 (/ c b))
(* c (- (* c (- (* 1/2 (/ a (pow b 3))) (* -1/2 (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))))) (/ 1 b)))
(* c (- (* c (- (+ (* 1/2 (/ a (pow b 3))) (* c (- (* -1/2 (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 5))))) (* -1/2 (+ (* -5/2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (pow a 2) (pow b 5))) (/ (* a (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))) (pow b 2)))))))) (* -1/2 (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))))) (/ 1 b)))
(* c (- (* c (- (+ (* 1/2 (/ a (pow b 3))) (* c (- (+ (* -1/2 (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 5))))) (* c (- (* -1/2 (+ (* -2 (/ (pow a 3) (pow b 7))) (+ (* -1/8 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* a b))) (/ (* a (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 5))))) (pow b 2))))) (* -1/2 (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -1/8 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* a b))) (+ (/ (* a (+ (* -5/2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (pow a 2) (pow b 5))) (/ (* a (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))) (pow b 2))))) (pow b 2)) (/ (* (pow a 2) (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))) (pow b 4))))))))) (* -1/2 (+ (* -5/2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (pow a 2) (pow b 5))) (/ (* a (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))) (pow b 2)))))))) (* -1/2 (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))))) (/ 1 b)))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(- (+ (* -1/2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -4) 3))))) (pow c 3))) (+ (* -1/2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))))
(* (sqrt (/ c a)) (sqrt -1))
(- (* -1 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)) (* -1 (* (sqrt (/ c a)) (sqrt -1))))
(- (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* -1/2 (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))))))))) c)) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)) (* -1 (* (sqrt (/ c a)) (sqrt -1))))
(- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 5))) (* (pow b 4) (sqrt -1)))))) (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a))))) c)) (* 1/8 (/ (* (pow b 3) c) (pow a 2)))) (* -1/2 (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))))))))) c)) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)) (* -1 (* (sqrt (/ c a)) (sqrt -1))))
(- (* 1/4 (/ c b)) (* 1/2 (- (* 2 (/ c b)) (* -1/2 (/ c b)))))
(- (+ (* 1/4 (/ c b)) (* a (- (* 1/2 (/ (pow c 2) (pow b 3))) (* -1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3)))))))) (* 1/2 (- (* 2 (/ c b)) (* -1/2 (/ c b)))))
(- (+ (* 1/4 (/ c b)) (* a (- (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (- (* -1/2 (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (pow c 3) (pow b 5))))) (* -1/2 (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 4))) (+ (* -1 (/ (pow c 3) (pow b 5))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3))))) (pow b 2)))))))) (* -1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3)))))))) (* 1/2 (- (* 2 (/ c b)) (* -1/2 (/ c b)))))
(- (+ (* 1/4 (/ c b)) (* a (- (+ (* 1/2 (/ (pow c 2) (pow b 3))) (* a (- (+ (* -1/2 (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (pow c 3) (pow b 5))))) (* a (- (* -1/2 (+ (* -2 (/ (pow c 4) (pow b 7))) (+ (* -1/8 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) b)) (/ (* c (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (pow c 3) (pow b 5))))) (pow b 2))))) (* -1/2 (+ (* -2 (/ (* (pow c 3) (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 6))) (+ (* -1/8 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) b)) (+ (/ (* c (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 4))) (+ (* -1 (/ (pow c 3) (pow b 5))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))))) (pow b 2)) (/ (* (pow c 2) (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3))))) (pow b 4))))))))) (* -1/2 (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 4))) (+ (* -1 (/ (pow c 3) (pow b 5))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3))))) (pow b 2)))))))) (* -1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3)))))))) (* 1/2 (- (* 2 (/ c b)) (* -1/2 (/ c b)))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (- (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 2))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(/ (- (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3))))) (pow a 3))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 2))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (- (* -1 (/ (- (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (/ (* a (pow b 3)) c)) (* 1/2 (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))))))))) a)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1)))))) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c))))) a)) (* -1/8 (/ (* a (pow b 3)) c))) (* 1/2 (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))))))))) a)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))
(* (pow b 2) (+ (* -1/2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))
(* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* b (- (* -1/2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 2)))))))))
(* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* -1/2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 1/2 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 2)))))))))
(* 1/4 (/ b a))
(* b (+ (* 1/4 (/ c (pow b 2))) (* 1/4 (/ 1 a))))
(* b (- (+ (* 1/2 (/ (* a (pow c 2)) (pow b 4))) (* 1/4 (/ 1 a))) (* -1/4 (/ c (pow b 2)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 3))) (* -1/4 (* (pow a 2) (pow c 3)))) (pow b 6))) (* 1/4 (/ 1 a))) (+ (* -1/2 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ c (pow b 2))))))
(* 1/4 (/ (pow b 3) (* (pow a 2) c)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (* a (pow b 2)))) (* 1/4 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1/2 c) (* 1/4 c)) (pow b 4))) (/ 1/4 (* a (pow b 2)))) (* 1/4 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 c) (* 1/4 c))))) (+ (* -1/16 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 1/2 (* a (pow c 2))))) (pow b 6))) (/ 1/4 (* a (pow b 2)))) (+ (* -1/2 (/ c (pow b 4))) (+ (* 1/4 (/ c (pow b 4))) (* 1/4 (/ 1 (* (pow a 2) c))))))))
(* 1/4 (/ b a))
(+ (* 1/4 (/ b a)) (* 1/4 (/ c b)))
(+ (* 1/4 (/ b a)) (* c (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/4 (/ 1 b)))))
(+ (* 1/4 (/ b a)) (* c (+ (* c (+ (* -1/2 (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 5)))))) (* 1/2 (/ a (pow b 3))))) (* 1/4 (/ 1 b)))))
(* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))
(/ (+ (* -1/2 (/ (pow b 3) (* (pow a 2) (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) c)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (pow b 3) (* (pow a 2) (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))))) c)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -4) 4))))) (pow c 3))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (pow b 3) (* (pow a 2) (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))))) c)
(* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))
(* -1 (/ (+ (* -1/8 (/ (pow b 3) (pow a 2))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c))
(* -1 (/ (+ (* -1 (/ (+ (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 5))) (* (pow b 4) (sqrt -1))))) c))) c)) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 5))) (* (pow b 4) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 5))) (* (pow b 4) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 5) (pow c 2)) (pow a 3)))) c))) c)) (* 1/8 (/ (* (pow b 3) c) (pow a 2)))) c)) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c))
(* 1/4 (/ b a))
(/ (+ (* 1/4 b) (* 1/4 (/ (* a c) b))) a)
(/ (+ (* 1/4 b) (* a (+ (* 1/4 (/ c b)) (* 1/2 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/4 b) (* a (+ (* 1/4 (/ c b)) (* a (+ (* -1/2 (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (pow c 3) (pow b 5)))))) (* 1/2 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))
(/ (+ (* -1/2 (/ (pow b 3) (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (pow b 3) (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (pow b 3) (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))))))) (pow a 2))
(* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))
(/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (/ (pow b 3) c))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1))))) a)) (* -1/8 (/ (* a (pow b 3)) c))) a)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 5)) (pow c 2)))) a)) (* 1/2 (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1))))))) a)) (* -1/8 (/ (* a (pow b 3)) c))) a)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (pow a 2))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 1/2 (* b (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))))) (* 1/2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* 1/4 (/ b a))
(* b (+ (* 1/2 (/ (- (* 2 c) (* -1/2 c)) (pow b 2))) (* 1/4 (/ 1 a))))
(* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 2 c) (* -1/2 c)) (pow b 2))) (* 1/4 (/ 1 a)))))
(* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1/2 c))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1/2 c))))) (* -1/2 (* a (pow c 2)))))))) (pow b 6))) (+ (* 1/2 (/ (- (* 2 c) (* -1/2 c)) (pow b 2))) (* 1/4 (/ 1 a))))))
(* 1/4 (/ (pow b 3) (* (pow a 2) c)))
(* (pow b 3) (+ (* 3/4 (/ 1 (* a (pow b 2)))) (* 1/4 (/ 1 (* (pow a 2) c)))))
(* -1 (* (pow b 3) (- (* -1/2 (/ (+ (* -3/2 c) (* -1 c)) (pow b 4))) (+ (/ 3/4 (* a (pow b 2))) (* 1/4 (/ 1 (* (pow a 2) c)))))))
(* -1 (* (pow b 3) (- (+ (* -1/2 (/ (+ (* -3 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -3/2 c) (* -1 c))))) (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (* -1/2 (/ (+ (* -3/2 c) (* -1 c)) (pow b 4)))) (+ (/ 3/4 (* a (pow b 2))) (* 1/4 (/ 1 (* (pow a 2) c)))))))
(* 1/4 (/ b a))
(/ (+ (* 1/4 b) (* 1/2 (* a (- (* 2 (/ c b)) (* -1/2 (/ c b)))))) a)
(/ (+ (* 1/4 b) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3)))))) (* 1/2 (- (* 2 (/ c b)) (* -1/2 (/ c b))))))) a)
(/ (+ (* 1/4 b) (* a (+ (* 1/2 (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 4))) (+ (* -1 (/ (pow c 3) (pow b 5))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3)))))))))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* 1/2 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c))) a)) (* 1/2 (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))))))))) a)) (* -1/2 (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* 1/4 (/ b a))
(+ (* 1/4 (/ b a)) (* 5/4 (/ c b)))
(+ (* 1/4 (/ b a)) (* c (+ (* -1/2 (* c (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3)))))) (* 5/4 (/ 1 b)))))
(+ (* 1/4 (/ b a)) (* c (+ (* c (+ (* -1/2 (* c (+ (* -5/2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (pow a 2) (pow b 5))) (/ (* a (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))) (pow b 2)))))) (* -1/2 (+ (* -5/2 (/ a (pow b 3))) (* -1/2 (/ a (pow b 3))))))) (* 5/4 (/ 1 b)))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) a))) c))) c)) (* 1/2 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (/ (* b c) a)))) c)))
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))
(* (pow b 2) (+ (* -1 (/ b (* a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))
(* (pow b 2) (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))
(* (pow b 2) (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))
(* 1/2 b)
(* b (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))))
(* 1/2 (/ (pow b 3) (* a c)))
(* -1 (* (pow b 3) (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))))
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))))
(* 1/2 b)
(+ (* 1/2 b) (* 1/2 (/ (* a c) b)))
(+ (* 1/2 b) (* c (- (/ (* (pow a 2) c) (pow b 3)) (* -1/2 (/ a b)))))
(+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (pow a 3) (pow b 5)))))) (* -1 (/ (pow a 2) (pow b 3))))) (* -1/2 (/ a b)))))
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))
(/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4)))) (/ (pow b 3) (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ (pow b 3) (* a (pow (sqrt -4) 2)))))) c)
(* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))
(* -1 (/ (+ (* -1/4 (/ (pow b 3) a)) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 4) (sqrt -1))))) (* -1/4 (/ (* (pow b 3) c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 4) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 5) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 4) (sqrt -1)))))) c)) (* -1/4 (/ (* (pow b 3) c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))
(* 1/2 b)
(+ (* 1/2 b) (* 1/2 (/ (* a c) b)))
(+ (* 1/2 b) (* a (- (/ (* a (pow c 2)) (pow b 3)) (* -1/2 (/ c b)))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (pow c 3) (pow b 5)))))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1/2 (/ c b)))))
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))
(/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (/ (pow b 3) (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ (pow b 3) (* c (pow (sqrt -4) 2)))))) a)
(* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))
(* -1 (/ (+ (* -1/4 (/ (pow b 3) c)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 4) (sqrt -1))))) (* -1/4 (/ (* a (pow b 3)) c))) a)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 5)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 4) (sqrt -1)))))) a)) (* -1/4 (/ (* a (pow b 3)) c))) a)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(pow b 5)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (/ b (pow (sqrt -4) 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (+ (* b (- (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(* 1/2 b)
(* b (- (+ 1/2 (* 2 (/ (* a c) (pow b 2)))) (* -1/2 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (+ (* -1 (/ (+ (* -1 (* a (* c (- (* 2 (* a c)) (* -1/2 (* a c)))))) (* -1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) (* -1/2 (/ (* a c) (pow b 2)))))
(* b (- (+ 1/2 (+ (* -1 (/ (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 (* a c)) (* -1/2 (* a c)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* a (* c (+ (* -1 (* a (* c (- (* 2 (* a c)) (* -1/2 (* a c)))))) (* -1/2 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (* 2 (/ (* a c) (pow b 2))))) (+ (* -1 (/ (* a (* c (- (* 2 (* a c)) (* -1/2 (* a c))))) (pow b 4))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 1/2 (/ (pow b 3) (* a c)))
(* (pow b 3) (+ (* 1/2 (/ 1 (* a c))) (* 3/2 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* -3/2 (* a c)) (* -1 (* a c))) (pow b 4))) (+ (* 1/2 (/ 1 (* a c))) (* 3/2 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* -3 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -3/2 (* a c)) (* -1 (* a c)))))) (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 4))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ 1 (* a c))) (* 3/2 (/ 1 (pow b 2)))))))))
(* 1/2 b)
(+ (* 1/2 b) (* a (- (* 2 (/ c b)) (* -1/2 (/ c b)))))
(+ (* 1/2 b) (* a (- (+ (* -1 (* a (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b))) (* -1/2 (/ c b)))))
(+ (* 1/2 b) (* a (- (+ (* 2 (/ c b)) (* a (- (* -1 (* a (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 4))) (+ (* -1 (/ (pow c 3) (pow b 5))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1/2 (/ c b)))) (pow b 2))) (* -1/2 (/ (pow c 2) (pow b 3))))))) (* -1/2 (/ c b)))))
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (* 4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* a b)) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) c))) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))))) a)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) (* a b)) a)))
(* 1/2 b)
(+ (* 1/2 b) (* c (- (* 2 (/ a b)) (* -1/2 (/ a b)))))
(+ (* 1/2 b) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (- (* 2 (/ a b)) (* -1/2 (/ a b)))) (pow b 2))) (* -1/2 (/ (pow a 2) (pow b 3)))))) (* 2 (/ a b))) (* -1/2 (/ a b)))))
(+ (* 1/2 b) (* c (- (+ (* 2 (/ a b)) (* c (- (* -1 (* c (+ (* -1 (/ (* (pow a 2) (- (* 2 (/ a b)) (* -1/2 (/ a b)))) (pow b 4))) (+ (* -1 (/ (pow a 3) (pow b 5))) (/ (* a (+ (* -1 (/ (* a (- (* 2 (/ a b)) (* -1/2 (/ a b)))) (pow b 2))) (* -1/2 (/ (pow a 2) (pow b 3))))) (pow b 2)))))) (+ (* -1 (/ (* a (- (* 2 (/ a b)) (* -1/2 (/ a b)))) (pow b 2))) (* -1/2 (/ (pow a 2) (pow b 3))))))) (* -1/2 (/ a b)))))
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow c 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (* 4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* b c)) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c))) a))) (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* b c)) c)))
Outputs
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* -5 (* a (pow c 4)))
(*.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (neg.f64 c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (*.f64 b b))) c)) b)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(*.f64 (neg.f64 b) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))))))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b)))) (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 (neg.f64 c) b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
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(fma.f64 c (+.f64 (fma.f64 c (fma.f64 (neg.f64 c) (-.f64 (fma.f64 a (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 a (/.f64 (*.f64 (/.f64 a b) #s(literal 5/2 binary64)) (*.f64 b b)))) (*.f64 b b)) (neg.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (/.f64 a b) #s(literal 5/2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 a (/.f64 (*.f64 (/.f64 a b) #s(literal 5/2 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (/.f64 a b))) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) (*.f64 #s(literal 1/2 binary64) b))
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))))
(- (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) b) #s(literal -4 binary64)))))
(- (+ (* -1 (/ (+ (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow c 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (* 4 (/ b (pow (sqrt -4) 2))))
(+.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 b c) #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 c c))) (/.f64 (*.f64 #s(literal -4 binary64) b) #s(literal -4 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))))
(-.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 b b) c) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 b c) #s(literal -4 binary64)))))) (*.f64 a #s(literal -4 binary64))) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 b c) #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 c (*.f64 c c)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 b c) #s(literal -4 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) b) #s(literal -4 binary64)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)) c)))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (*.f64 b c))) c))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* b c)) c)))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (*.f64 b c)))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b c)) c))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c))) a))) (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* b c)))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* b c)) c)))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (*.f64 b c)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))))) (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 b b) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (*.f64 b c))))) a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (*.f64 b c)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))))) c)) (*.f64 b c)) c))

rewrite287.0ms (2.6%)

Memory
-15.4MiB live, 741.6MiB allocated
Rules
4 792×lower-*.f32
4 750×lower-*.f64
4 472×lower-fma.f32
4 462×lower-fma.f64
3 362×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067495
0115430
1459353
24215347
08520343
Stop Event
iter limit
node limit
iter limit
Counts
23 → 874
Calls
Call 1
Inputs
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
(fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))
(*.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)
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b))
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))
(/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
Outputs
(*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 20 binary64)))))
(*.f64 a (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 20 binary64))) #s(literal -1/4 binary64)))
(*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 20 binary64))) (*.f64 #s(literal -1/4 binary64) a))
(*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 20 binary64)))) #s(literal -1/4 binary64))
(*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 20 binary64))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 20 binary64)))) a)
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal 20 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) a) c) (*.f64 (*.f64 c (*.f64 c c)) #s(literal 20 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal 20 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) a) #s(literal 20 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (*.f64 (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 a a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
(+.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 a a)))
(+.f64 (*.f64 (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 a a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(-.f64 (*.f64 (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 a a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 a a)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 a a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (*.f64 b b)) (-.f64 (*.f64 (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 a a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))))
(fma.f64 a (*.f64 a (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
(fma.f64 (*.f64 a a) (fma.f64 c (/.f64 (*.f64 c c) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal -5 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
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(*.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (fma.f64 b b (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 64 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 (fma.f64 a (*.f64 c #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))

eval374.0ms (3.4%)

Memory
28.4MiB live, 1 093.6MiB allocated
Compiler

Compiled 103 496 to 6 060 computations (94.1% saved)

prune336.0ms (3%)

Memory
-5.7MiB live, 1 090.4MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New2 121122 133
Fresh23932
Picked415
Done112
Total2 149232 172
Accuracy
100.0%
Counts
2 172 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
22.4%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 b (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
99.4%
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
99.4%
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
20.0%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
99.4%
(/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
88.1%
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
88.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
20.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
99.3%
(*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
99.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
20.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
87.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* c (* a -4)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
93.9%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
93.6%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
93.9%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
93.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b))
88.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
88.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
88.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
88.3%
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (fma.f64 #s(literal 1/4 binary64) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 5/2 binary64)))))
88.3%
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) c (*.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 5/2 binary64)))) b))
Compiler

Compiled 865 to 515 computations (40.5% saved)

simplify237.0ms (2.1%)

Memory
-34.6MiB live, 565.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff128
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
cost-diff896
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
cost-diff0
(neg.f64 a)
cost-diff0
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
cost-diff128
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))
cost-diff192
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
cost-diff0
(/.f64 (*.f64 a c) b)
cost-diff0
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
cost-diff0
#s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
cost-diff0
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) 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-diff0
(*.f64 #s(literal -4 binary64) c)
cost-diff0
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
cost-diff64
(fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64))
cost-diff1344
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
Rules
12 938×lower-fma.f32
12 930×lower-fma.f64
5 984×lower-*.f32
5 968×lower-*.f64
2 256×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072409
0103387
1215374
2518348
31605336
45126336
08413332
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
#s(literal 0 binary64)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#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 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
#s(literal -2 binary64)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
a
c
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
c
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))
(neg.f64 a)
a
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
(neg.f64 b)
Outputs
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64))
(*.f64 a (*.f64 #s(literal -4 binary64) c))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
#s(literal 0 binary64)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(/.f64 c (neg.f64 b))
#s(literal 1 binary64)
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
(neg.f64 b)
b
c
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
#s(literal -2 binary64)
(/.f64 (*.f64 a c) b)
(*.f64 a c)
a
c
b
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 (/.f64 c (neg.f64 b)) (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(*.f64 (/.f64 c (neg.f64 b)) (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))
c
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))
(*.f64 (fma.f64 a (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) b))
(neg.f64 a)
a
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #s(literal 1/2 binary64)) a)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
(/.f64 b (*.f64 a #s(literal -2 binary64)))
(neg.f64 b)

localize251.0ms (2.3%)

Memory
26.0MiB live, 741.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
accuracy0.08203125
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
accuracy0.2578125
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
accuracy49.99138553493488
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
accuracy0.2421875
(/.f64 c (*.f64 b (*.f64 b b)))
accuracy0.2421875
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
accuracy0.24609375
(*.f64 b (*.f64 b b))
accuracy3.891700681396421
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
accuracy0
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
accuracy0.21875
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
accuracy0.28515625
(/.f64 (*.f64 a c) b)
accuracy7.412612816394709
#s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
accuracy0
(/.f64 (neg.f64 b) c)
accuracy0
(neg.f64 b)
accuracy0.265625
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
accuracy7.410027646736555
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
accuracy0.05859375
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
accuracy0.08203125
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
accuracy0.21875
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy0.2890625
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
Samples
162.0ms206×1valid
22.0ms50×0valid
Compiler

Compiled 386 to 69 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 48.0ms (34.2% of total)
ival-div: 30.0ms (21.4% of total)
ival-add: 18.0ms (12.8% of total)
adjust: 17.0ms (12.1% of total)
ival-sqrt: 16.0ms (11.4% of total)
ival-sub: 7.0ms (5% of total)
ival-neg: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory
-5.1MiB live, 194.7MiB allocated
Counts
24 → 684
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (patch (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (patch (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<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 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) (patch (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a c) b) (patch (/.f64 (*.f64 a c) b) #<representation binary64>) () ())
#s(alt (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))) (patch (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)) (patch (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) (patch #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (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 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (patch (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))))))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) (taylor inf a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -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) (taylor inf a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -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) (taylor inf a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.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 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) a)) (* -1/128 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow a 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (* 4 (/ (pow a 2) (pow b 3)))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (* c (- (+ (* -32 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))))) (+ (* 8 (/ (pow a 4) (pow b 7))) (* a (* b (+ (* 2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow a 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (taylor inf c) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))))) (taylor inf c) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3)))))))))) (taylor inf c) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3)))))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 9)))) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow c 3) (pow a 3))) (pow b 5))))))))))))) (taylor inf c) (#s(alt #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (patch #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) (taylor inf c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) (taylor inf c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) (taylor inf c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor inf c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor inf c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor inf c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor inf c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor 0 b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor inf b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor inf b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor inf b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor inf b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor -inf b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor -inf b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor -inf b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 3)) (taylor -inf b) (#s(alt (/.f64 c (*.f64 b (*.f64 b b))) (patch (/.f64 c (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
Calls

171 calls:

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

simplify312.0ms (2.8%)

Memory
5.2MiB live, 762.4MiB allocated
Algorithm
egg-herbie
Rules
8 052×lower-*.f64
8 052×lower-*.f32
6 286×lower-fma.f64
6 286×lower-fma.f32
3 442×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176816364
1590915973
0810415408
Stop Event
iter limit
node limit
Counts
684 → 681
Calls
Call 1
Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* -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)
(* (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))
(* -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 (* (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)))))))
(* (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 (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ 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)
(* -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))))))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -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))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -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))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b) (* 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)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -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)))))) (* 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))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(/ (+ (* -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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
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(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -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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(* 1/4 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b)))
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(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* -1/2 (/ (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow a 2))))
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(+ (* -1 (/ (+ (* 1/256 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) a))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* -1/2 (/ (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow a 2)))))
(* -1 (/ c b))
(* c (- (* 1/2 (* c (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3)))))) (/ 1 b)))
(* c (- (* c (+ (* 1/2 (* c (+ (* -4 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))) (pow b 3))) (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))) (* 1/2 (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3))))))) (/ 1 b)))
(* c (- (* c (+ (* 1/2 (- (+ (* -8 (/ a (pow b 3))) (* 4 (/ a (pow b 3)))) (* -2 (/ a (pow b 3))))) (* c (+ (* 1/2 (* c (- (+ (* -32 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))))) (+ (* 8 (/ (pow a 3) (pow b 7))) (* b (+ (* 2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow a 3) (pow b 8)))))))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/2 (+ (* -4 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ a (pow b 2))) (* -2 (/ a (pow b 2))))) (pow b 3))) (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))))) (/ 1 b)))
(* 1/4 (* (sqrt (/ c (pow a 3))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2)))))
(* c (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2))))))
(* c (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* (+ (* 1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow c 3) (pow a 5))) (pow b 5)))))))) (pow c 4))) (* 1/2 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 5))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (pow b 3))))))) (pow c 2)))))))
(* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2))))))
(* -1 (* c (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) c)) (* -1/256 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b))) (* 1/2 (/ (+ (* -1/32 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -16)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))) (pow c 2)))))))
(* 1/4 (* (sqrt (/ c a)) (sqrt -16)))
(+ (* -1/2 (/ b a)) (* 1/4 (* (sqrt (/ c a)) (sqrt -16))))
(+ (* 1/4 (* (sqrt (/ c a)) (sqrt -16))) (* b (- (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -16)))) (* 1/2 (/ 1 a)))))
(+ (* 1/4 (* (sqrt (/ c a)) (sqrt -16))) (* b (- (* b (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -16))) (* 1/2 (* (pow b 2) (+ (* 3/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -16))) (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -16))))))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2)))) b)
(/ (+ (* -1 c) (+ (* 1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2))))) b)
(/ (+ (* -1 c) (+ (* 1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (+ (* 1/2 (/ (- (+ (* -32 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (- (* -8 (* a (pow c 2))) (* -2 (* a (pow c 2)))))) (+ (* 8 (* (pow a 3) (pow c 4))) (* c (+ (* 2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (* 64 (* (pow a 3) (pow c 3)))))))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/2 (/ (- (+ (* -8 (* a (pow c 2))) (* 4 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 2)))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (+ (* -1/2 (/ (- (+ (* -16 (* a (pow c 2))) (* 16 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ (+ (* -4 (* (pow a 2) (pow c 3))) (+ (* -2 (* a (* c (- (* 8 (* a (pow c 2))) (* -2 (* a (pow c 2))))))) (+ (* 2 (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (+ (* 64 (* (pow a 2) (pow c 3))) (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -2 c) (* 4 c)) (pow b 2))) (+ (* -1/2 (/ (- (+ (* -16 (* a (pow c 2))) (* 16 (* a (pow c 2)))) (* -2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (* 4 (/ (pow c 2) (pow b 3)))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))))))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (- (+ (* -8 (/ (pow c 2) (pow b 3))) (+ (* 4 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (+ (* -2 (/ (* c (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* a (- (+ (* -32 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))) (- (* -8 (/ (pow c 2) (pow b 2))) (* -2 (/ (pow c 2) (pow b 2))))))) (+ (* 8 (/ (pow c 4) (pow b 7))) (* b (* c (+ (* 2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow c 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) b)))) (* b (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* 1/2 (* (sqrt (/ a c)) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b)))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3)))))))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))))))
(* a (+ (* -1 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* b (* c (sqrt -16))) (* 2 (* (sqrt (/ c a)) (pow b 2)))) b))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/4 (* (sqrt (/ a c)) (pow b 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 9) c))) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b 5)))))))))))))
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)))
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) a)) (* -1/128 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow a 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* b (* c (sqrt -16))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* c (sqrt -16)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (* 4 (/ (pow a 2) (pow b 3)))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))))))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (- (+ (* -8 (/ (pow a 2) (pow b 3))) (+ (* 4 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (+ (* -2 (/ (* a (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* a (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))) (* c (- (+ (* -32 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))) (- (* -8 (/ (pow a 2) (pow b 2))) (* -2 (/ (pow a 2) (pow b 2))))))) (+ (* 8 (/ (pow a 4) (pow b 7))) (* a (* b (+ (* 2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 64 (/ (pow a 3) (pow b 8))))))))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* 1/2 (* (sqrt (/ c a)) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b)))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3)))))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))))))
(* c (+ (* -1 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))) b))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* b (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3))))))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 3) (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (- (* a (* b (sqrt -16))) (* 2 (* (sqrt (/ a c)) (pow b 2)))) b))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/4 (* (sqrt (/ c a)) (pow b 3)))))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 9)))) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -16) 3)))) (* -1/64 (* (sqrt (/ (pow c 3) (pow a 3))) (pow b 5)))))))))))))
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))))))))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (* b (sqrt -1/4))))) (+ (* -1/32 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4))))))) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/4) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -16) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -4) 3)))))))))) c)) (* -1/128 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4))))) (pow c 3))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) (sqrt -1/4)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/4) (- (* a (* b (sqrt -16))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -4) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/4) (- (* 1/2 (/ (pow b 4) (* a (sqrt -16)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -4)))))))))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -16)))
(+ (* -1 b) (* 1/2 (* (sqrt (* a c)) (sqrt -16))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -16))) (* b (- (* -1/16 (* (sqrt (/ 1 (* a c))) (* b (sqrt -16)))) 1)))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -16))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* a c))) (sqrt -16))) (* (pow b 2) (+ (* 3/256 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -16))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -16)))))))) 1)))
(* -2 (/ (* a c) b))
(/ (- (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -2 (* a c)) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* a (* c (- (* -8 (* (pow a 2) (pow c 2))) (* -2 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (/ (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (pow b 4))))))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
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(/ (* a c) b)
(/ (* a c) b)
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(/ (* a c) b)
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
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(/ (* a c) b)
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(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
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(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
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(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(* -1 (/ (* a c) (pow b 3)))
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(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))
(* -1 (/ (* a c) (pow b 3)))
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))
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(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(* -1 (/ (* a c) (pow b 3)))
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(* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ (* a c) (pow b 3)))
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))
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(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(/ -1 b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ -1 b)
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(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
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(* -1 (/ c b))
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(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 a)
(* -1 a)
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(* -1 a)
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(* -1 a)
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(/ (+ (* -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 (* (sqrt (/ c a)) (sqrt -4)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
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(/ 1/2 a)
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(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
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b
(+ b (* -2 (/ (* a c) b)))
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(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
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b
(+ b (* -2 (/ (* a c) b)))
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(* (sqrt (* a c)) (sqrt -4))
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 (*.f64 c c)) (*.f64 b (*.f64 b b))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (neg.f64 c) b))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -4 binary64))) 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)
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 a a))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) 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)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a))) (*.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 a a))) (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -4 binary64)))) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 b #s(literal 1/2 binary64))) 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))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64)) a) (*.f64 #s(literal -1/2 binary64) (*.f64 b a))) 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))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64))) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) c))) a) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64)))) a)) a))) a))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 c (neg.f64 (fma.f64 a (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 c (-.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 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 (*.f64 a (*.f64 a a)) (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)))) (neg.f64 (/.f64 a (*.f64 b (*.f64 b b))))) (neg.f64 (/.f64 #s(literal 1 binary64) b))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(- (+ (* -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)))))
(+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 c c))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(- (+ (* -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)))))))
(-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (*.f64 c (*.f64 c c)))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -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)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c b) a))) c))
(+ (* -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)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 c (*.f64 a a))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))) c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c b) a))) c))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(*.f64 (neg.f64 c) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) b) c)))
(* -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))))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c)) c)))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))

rewrite299.0ms (2.7%)

Memory
-6.3MiB live, 718.8MiB allocated
Rules
6 112×lower-fma.f32
6 104×lower-fma.f64
5 446×lower-*.f32
5 430×lower-*.f64
3 428×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072343
0103321
1447302
23406288
09515283
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 061
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64))
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(*.f64 #s(literal -4 binary64) c)
(/.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 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))
(/.f64 (*.f64 a c) b)
(*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
(neg.f64 a)
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
(/.f64 #s(literal 1/2 binary64) a)
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(*.f64 b (*.f64 b b))
(/.f64 c (*.f64 b (*.f64 b b)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -64 binary64))) (*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal 16 binary64))))
(/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(/.f64 (*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1/2 binary64)) a)
(/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(pow.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 a (/.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 c (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 a c) (/.f64 #s(literal -4 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 a (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
(*.f64 (/.f64 a (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) c) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 a #s(literal -4 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 a #s(literal 2 binary64))) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 c (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 a (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(+.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c)))
(-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) #s(literal 0 binary64))
(-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -4 binary64) c))))
(fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64))
(fma.f64 a (*.f64 c #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 a (neg.f64 (*.f64 c #s(literal 4 binary64))) #s(literal 0 binary64))
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(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (-.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
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(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))
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(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))
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(*.f64 (*.f64 b b) b)
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(/.f64 (/.f64 c b) (*.f64 b b))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 c (*.f64 b b)) b)
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b (*.f64 b b)))
(/.f64 (/.f64 (/.f64 c b) b) b)
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) c) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64)))
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eval337.0ms (3%)

Memory
3.1MiB live, 1 026.3MiB allocated
Compiler

Compiled 61 117 to 5 278 computations (91.4% saved)

prune407.0ms (3.6%)

Memory
-10.4MiB live, 1 283.5MiB allocated
Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New2 050232 073
Fresh10616
Picked505
Done022
Total2 065312 096
Accuracy
100.0%
Counts
2 096 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.8%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
19.8%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
21.4%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) a (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) b))) (*.f64 a #s(literal 2 binary64)))
20.0%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
99.4%
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
99.4%
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
88.0%
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
20.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
20.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
87.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
99.4%
(*.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
99.4%
(*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
93.9%
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
93.9%
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)))
93.5%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (neg.f64 b) (*.f64 c (neg.f64 a)))) (*.f64 (neg.f64 b) (*.f64 b (*.f64 b b))))))
93.6%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b))))
93.5%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
93.3%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (*.f64 (neg.f64 c) (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 c b)))))))
93.5%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (/.f64 (neg.f64 (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b)))))
93.4%
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (neg.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a)))))))
88.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c)))
93.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b))
88.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
88.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
88.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (neg.f64 b))))
88.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
88.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) b)))
88.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
88.3%
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) c (*.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 5/2 binary64)))) b))
88.1%
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (neg.f64 (/.f64 (*.f64 c a) b)) a))
3.3%
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
Compiler

Compiled 2 985 to 739 computations (75.2% saved)

regimes101.0ms (0.9%)

Memory
32.4MiB live, 310.7MiB allocated
Counts
89 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) c (*.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 5/2 binary64)))) b))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (neg.f64 (/.f64 (*.f64 c a) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* c (* a -4)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (fma.f64 #s(literal 1/4 binary64) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 5/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (/.f64 (neg.f64 (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.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))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (neg.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a)))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (*.f64 (neg.f64 c) (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 c b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (neg.f64 b) (*.f64 c (neg.f64 a)))) (*.f64 (neg.f64 b) (*.f64 b (*.f64 b b))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) a (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) b))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c c) #s(literal -2 binary64)))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b))) b) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (*.f64 b (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) (*.f64 b b)))
(/.f64 (-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 a c)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 b (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a))))) b) (/.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (fma.f64 (*.f64 b (neg.f64 b)) (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))) (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a))))))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 4 binary64) c)))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 a a) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (neg.f64 (fma.f64 a (*.f64 c c) (*.f64 (*.f64 b b) c))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 #s(literal -5 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) c) (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b))) (neg.f64 (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (neg (/ (+ (* (* c c) (/ a (* b b))) c) b)) (* (* a a) (+ (* (* (/ (* (pow c 4) 20) (pow b 6)) (/ a b)) -1/4) (/ (* (* c (* c c)) -2) (pow b 5))))) (neg.f64 (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 a b))) (neg.f64 a))) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c)) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)) (*.f64 (*.f64 a a) (fma.f64 c (*.f64 (*.f64 c c) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 20 binary64)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b b))))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b))))) (fma.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)) (*.f64 (/.f64 (*.f64 b (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -16 binary64) (*.f64 a (*.f64 (*.f64 c c) a)))))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal 4 binary64))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) b)))))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
Calls

4 calls:

25.0ms
a
25.0ms
b
24.0ms
c
22.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
99.4%1a
99.4%1b
99.4%1c
99.4%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 32 to 23 computations (28.1% saved)

regimes62.0ms (0.6%)

Memory
-4.9MiB live, 196.3MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) c (*.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 5/2 binary64)))) b))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (neg.f64 (/.f64 (*.f64 c a) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* c (* a -4)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (fma.f64 #s(literal 1/4 binary64) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 5/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (/.f64 (neg.f64 (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.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))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (neg.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a)))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (*.f64 (neg.f64 c) (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 c b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (neg.f64 b) (*.f64 c (neg.f64 a)))) (*.f64 (neg.f64 b) (*.f64 b (*.f64 b b))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
Outputs
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
Calls

4 calls:

15.0ms
b
15.0ms
c
15.0ms
a
15.0ms
(/.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
99.4%1a
99.4%1b
99.4%1c
99.4%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 32 to 23 computations (28.1% saved)

regimes53.0ms (0.5%)

Memory
7.6MiB live, 166.5MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) c (*.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 5/2 binary64)))) b))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (neg.f64 (/.f64 (*.f64 c a) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* c (* a -4)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (fma.f64 #s(literal 1/4 binary64) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 5/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (/.f64 (neg.f64 (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.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))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (neg.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a)))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (*.f64 (neg.f64 c) (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 c b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (neg.f64 b) (*.f64 c (neg.f64 a)))) (*.f64 (neg.f64 b) (*.f64 b (*.f64 b b))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
Calls

4 calls:

13.0ms
c
13.0ms
a
13.0ms
b
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))
Results
AccuracySegmentsBranch
99.4%1a
99.4%1b
99.4%1c
99.4%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 32 to 23 computations (28.1% saved)

regimes50.0ms (0.4%)

Memory
-1.9MiB live, 159.0MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) c (*.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 5/2 binary64)))) b))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (neg.f64 (/.f64 (*.f64 c a) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* c (* a -4)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (fma.f64 #s(literal 1/4 binary64) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 5/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (* (* -2 (* a a)) (/ (* c (* c c)) (* (* b b) (* b b)))) (+ (* (* c c) (/ a (* b b))) c)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b b)) c) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (/.f64 (neg.f64 (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b b)))) (*.f64 b (*.f64 b b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b))))
#s(approx (/ (/ (+ (* a (* -4 c)) 0) (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (* 2 a)) (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b))))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.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))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) #s(approx (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))) (neg.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b a)))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (*.f64 (neg.f64 c) (+.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 c b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (neg.f64 b) (*.f64 c (neg.f64 a)))) (*.f64 (neg.f64 b) (*.f64 b (*.f64 b b))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
Calls

4 calls:

12.0ms
c
12.0ms
b
12.0ms
a
10.0ms
(/.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
93.9%1a
93.9%1b
93.9%1c
93.9%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 32 to 23 computations (28.1% saved)

regimes24.0ms (0.2%)

Memory
-5.4MiB live, 76.1MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) c (*.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 5/2 binary64)))) b))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (neg.f64 (/.f64 (*.f64 c a) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* c (* a -4)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (fma.f64 #s(literal 1/4 binary64) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 5/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
Outputs
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
Calls

4 calls:

6.0ms
a
6.0ms
c
6.0ms
b
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
93.5%1b
93.5%1c
93.5%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))
93.5%1a
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes22.0ms (0.2%)

Memory
-8.1MiB live, 71.2MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 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 (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (/.f64 (fma.f64 #s(literal 1/4 binary64) c (*.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 5/2 binary64)))) b))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) (/.f64 (neg.f64 (/.f64 (*.f64 c a) b)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (neg.f64 b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* c (* a -4)) (* b b))) b) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -16 (* a (* c (* a c)))) (* b (* b (* b b))))) b) (* (sqrt (+ (* b b) (* a (* 4 c)))) (* b b))) (* (sqrt (+ (* b b) (* a (* 4 c)))) b)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (/ (/ (* b b) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2)) (/ (/ (+ (* b b) (* a (* 4 c))) (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (* a 2))) (fma.f64 #s(literal 1/4 binary64) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c b) #s(literal 5/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal -1 binary64) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
Calls

4 calls:

6.0ms
a
6.0ms
c
5.0ms
b
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
88.4%1b
88.4%1c
88.4%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))
88.4%1a
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory
-18.8MiB live, 23.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

2.0ms
b
1.0ms
a
1.0ms
(/.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
Results
AccuracySegmentsBranch
3.3%1b
3.3%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))
3.3%1a
3.3%1c
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify9.0ms (0.1%)

Memory
29.4MiB live, 29.4MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
20×+-commutative_binary64
18×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070187
191187
2107187
3125187
4136187
5140187
6141187
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
Outputs
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) #s(literal 0 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 a (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b (*.f64 b b))))))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 c #s(approx (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)) (/.f64 (fma.f64 c a (*.f64 b b)) (neg.f64 (*.f64 b (*.f64 b b)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* a (* -4 c)) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))

soundness1.0s (9.3%)

Memory
-29.3MiB live, 1 375.4MiB allocated
Rules
11 458×lower-fma.f64
11 458×lower-fma.f32
8 052×lower-*.f64
8 052×lower-*.f32
7 766×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176816364
1590915973
0810415408
05453273
117383232
260833204
082433047
072343
0103321
1447302
23406288
09515283
0200521144
1561820905
0897820142
075530
0130494
1493442
23894434
08328434
01451
02351
17649
253648
3686448
0815844
067495
0115430
1459353
24215347
08520343
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 962 to 363 computations (62.3% saved)

preprocess45.0ms (0.4%)

Memory
-0.8MiB live, 157.6MiB allocated
Compiler

Compiled 250 to 90 computations (64% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...