Quadratic roots, full range

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze148.0ms (1.7%)

Memory
5.3MiB live, 232.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.9s (22.2%)

Memory
-102.5MiB live, 2 023.4MiB allocated
Samples
664.0ms5 539×0valid
297.0ms1 192×2valid
243.0ms1 334×1valid
126.0ms980×0invalid
55.0ms191×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 294.0ms (28.5% of total)
ival-neg: 196.0ms (19% of total)
ival-div: 132.0ms (12.8% of total)
ival-sqrt: 120.0ms (11.6% of total)
adjust: 107.0ms (10.4% of total)
ival-sub: 84.0ms (8.1% of total)
ival-add: 76.0ms (7.4% of total)
exact: 10.0ms (1% of total)
ival-true: 8.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain240.0ms (2.7%)

Memory
6.4MiB live, 237.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
520-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
141(1.9156714855560748e-41 1.3085131413228304e+191 1.2791906493825628e-132)1(-4.525735184681085e-262 1.9070402823552135e+34 4.2779326662766913e-16)(/.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))
40-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))oflow-rescue1070
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow107
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow30
(*.f64 b b)overflow88
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation521
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))u/n140
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow5
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow28
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow35
(*.f64 b b)underflow41
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue50
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow5
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow35
(*.f64 b b)underflow41
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue40
(*.f64 b b)overflow88
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow30
Confusion
Predicted +Predicted -
+1300
-18108
Precision
0.8783783783783784
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13000
-181107
Precision?
0.87248322147651
Recall?
1.0
Freqs
test
numberfreq
0108
1116
230
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms74×2valid
39.0ms356×0valid
12.0ms72×1valid
3.0ms10×3valid
Compiler

Compiled 231 to 60 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 14.0ms (31% of total)
ival-add: 7.0ms (15.5% of total)
ival-sqrt: 6.0ms (13.3% of total)
ival-div: 5.0ms (11.1% of total)
adjust: 5.0ms (11.1% of total)
ival-sub: 4.0ms (8.9% of total)
ival-neg: 3.0ms (6.6% of total)
ival-true: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess144.0ms (1.6%)

Memory
-9.5MiB live, 80.2MiB allocated
Algorithm
egg-herbie
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 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify77.0ms (0.9%)

Memory
-5.8MiB live, 32.9MiB 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))))
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 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize63.0ms (0.7%)

Memory
2.7MiB live, 85.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.8085937500000001
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy2.992927419484257
(/.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))
accuracy12.041835145667298
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy26.261857725404685
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
25.0ms178×0valid
10.0ms36×1valid
9.0ms37×2valid
2.0ms3valid
Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 16.0ms (53.3% of total)
ival-sqrt: 3.0ms (10% of total)
ival-div: 3.0ms (10% of total)
ival-sub: 2.0ms (6.7% of total)
adjust: 2.0ms (6.7% of total)
ival-add: 2.0ms (6.7% of total)
ival-neg: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
5.2MiB live, 43.2MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())
#s(alt #<batchref> (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 #<batchref> (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (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 #<batchref> (taylor 0 c) (#s(alt #<batchref> (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 #<batchref> (taylor 0 c) (#s(alt #<batchref> (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 #<batchref> (taylor 0 c) (#s(alt #<batchref> (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 #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (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 #<batchref> (taylor inf c) (#s(alt #<batchref> (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 #<batchref> (taylor inf c) (#s(alt #<batchref> (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 #<batchref> (taylor inf c) (#s(alt #<batchref> (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 #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (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 #<batchref> (taylor -inf a) (#s(alt #<batchref> (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 #<batchref> (taylor -inf a) (#s(alt #<batchref> (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 #<batchref> (taylor -inf a) (#s(alt #<batchref> (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 #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
c
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
c
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
b
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms
a
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms
b
@0
((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify160.0ms (1.8%)

Memory
-8.8MiB live, 186.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453273
117383232
260703204
082353047
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
Outputs
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(*.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(*.f64 b b)
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(/.f64 (neg.f64 c) b)
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
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b
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rewrite199.0ms (2.3%)

Memory
-11.6MiB live, 149.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17649
253648
3686448
0815844
Stop Event
iter limit
node limit
iter limit
Counts
5 → 440
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Outputs
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eval155.0ms (1.8%)

Memory
8.6MiB live, 166.6MiB allocated
Compiler

Compiled 20 452 to 2 147 computations (89.5% saved)

prune22.0ms (0.2%)

Memory
27.9MiB live, 66.9MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New57914593
Fresh000
Picked101
Done000
Total58014594
Accuracy
91.3%
Counts
594 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
43.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
50.7%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
27.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
32.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
10.6%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
29.2%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
51.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
51.6%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
51.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
33.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
36.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
30.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
Compiler

Compiled 644 to 446 computations (30.7% saved)

simplify142.0ms (1.6%)

Memory
-17.1MiB live, 144.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
cost-diff0
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
cost-diff0
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)
cost-diff0
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
cost-diff0
(/.f64 c b)
cost-diff0
(/.f64 (/.f64 c b) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
cost-diff1024
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (neg.f64 b) a)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 #s(literal 1/2 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043319
069319
1119311
2226307
3444303
4849303
52295303
64584303
76336303
87935303
08089303
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
(/.f64 (neg.f64 b) a)
(neg.f64 b)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
(/.f64 c b)
c
b
(/.f64 (*.f64 c a) b)
(*.f64 c a)
a
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
(/.f64 (neg.f64 b) a)
(neg.f64 b)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 a) b) b) c #s(literal -1 binary64)) b) c))
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 a) b) b) c #s(literal -1 binary64)) b) c)
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) b)
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c)
(/.f64 c b)
c
b
(*.f64 (/.f64 c b) a)
(*.f64 c a)
a
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))) a))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))) b)
(neg.f64 b)
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize171.0ms (2%)

Memory
-3.7MiB live, 269.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.0983001598636197
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy2.992927419484257
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
accuracy12.041835145667298
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
accuracy24.879883616355134
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
accuracy0.0546875
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
accuracy0.7563103849435531
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)
accuracy4.328882435848853
(/.f64 (*.f64 c a) b)
accuracy42.79254740193719
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
accuracy0
(neg.f64 b)
accuracy0.12890625
(/.f64 (/.f64 c b) b)
accuracy3.5891578088791922
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
accuracy40.431269257946745
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
accuracy0
(/.f64 (neg.f64 b) a)
accuracy0
(neg.f64 b)
accuracy40.38734496260663
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy0.0078125
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy3.0927592480957866
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
accuracy12.041835145667298
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
accuracy26.261857725404685
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
Samples
80.0ms178×0valid
37.0ms37×2valid
17.0ms36×1valid
4.0ms3valid
Compiler

Compiled 623 to 86 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div: 34.0ms (42.2% of total)
ival-mult: 16.0ms (19.9% of total)
ival-add: 9.0ms (11.2% of total)
ival-sqrt: 9.0ms (11.2% of total)
adjust: 6.0ms (7.5% of total)
ival-sub: 4.0ms (5% of total)
ival-neg: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (1.1%)

Memory
-27.5MiB live, 176.5MiB allocated
Counts
22 → 708
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
16.0ms
b
@inf
((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))
10.0ms
a
@inf
((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))
9.0ms
a
@-inf
((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))
7.0ms
c
@inf
((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))
6.0ms
c
@0
((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))

simplify263.0ms (3%)

Memory
13.9MiB live, 320.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095813320
1308513103
0901112564
Stop Event
iter limit
node limit
Counts
708 → 698
Calls
Call 1
Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
c
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* -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))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ 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)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* 1/2 (* (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)))))))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 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)))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* (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)))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* -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))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* 1/2 (* (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)))))
(* (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)))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* 1/2 (* (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)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ 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 (/ (* a (pow c 2)) (pow b 3)))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (* a (pow c 2)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(* (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)))
(* 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)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(* -1 (/ 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)
(* -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)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ c 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 a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ 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)
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 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))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(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)))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(* -1 (/ 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 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))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (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))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* -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))))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(* -1 (/ 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 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -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))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ c 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 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) 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 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* -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))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* (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)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (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 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c 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))))))
(* 1/2 (* (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 (/ (* a (pow c 2)) (pow b 3)))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* (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 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (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 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 2))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
b
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(/.f64 (neg.f64 c) b)
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(/.f64 (neg.f64 b) a)
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (neg.f64 c) b)
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(/.f64 c (*.f64 b b))
(/.f64 c (*.f64 b b))
(/.f64 c (*.f64 b b))
(/.f64 c (*.f64 b b))
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(/.f64 (neg.f64 c) b)
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(/.f64 c b)
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
c
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c)
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c)
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c)
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(/.f64 (neg.f64 c) b)
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
b
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(*.f64 b b)
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(*.f64 a (/.f64 c b))
(*.f64 a (/.f64 c b))
(*.f64 a (/.f64 c b))
(*.f64 a (/.f64 c b))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -12 binary64) b)) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (/.f64 #s(literal 1 binary64) b))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -12 binary64) a)) (*.f64 b b)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 8 binary64)))) c))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 8 binary64))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal 16 binary64))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64)))) c)
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))))) c)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c)
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c))) c)
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)))) c)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
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(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 c c)) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (*.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/16 binary64))) a)) (neg.f64 a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 c #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) a) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal 1/64 binary64))) a) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/16 binary64))) a)) (neg.f64 a))

rewrite160.0ms (1.8%)

Memory
0.3MiB live, 191.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043263
069249
1265242
22271234
08226234
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 035
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(/.f64 (*.f64 c a) b)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
Outputs
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eval315.0ms (3.6%)

Memory
-5.4MiB live, 458.2MiB allocated
Compiler

Compiled 72 068 to 5 555 computations (92.3% saved)

prune94.0ms (1.1%)

Memory
0.9MiB live, 162.5MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1 975191 994
Fresh369
Picked325
Done000
Total1 981272 008
Accuracy
92.6%
Counts
2 008 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
25.6%
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
43.2%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
21.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 c c)) (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1/4 binary64) c)) a))))) (*.f64 #s(literal 2 binary64) a))
30.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
32.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
29.2%
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
51.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
51.6%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
51.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
32.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b))
36.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
28.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
33.2%
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
17.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) b) b (/.f64 (neg.f64 b) a)))
2.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
30.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 c (*.f64 b b)) c) (neg.f64 b)))
1.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 a b) (*.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) (/.f64 a b))))
25.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
36.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
33.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 a b) c) c) b)))
17.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
24.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
9.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
Compiler

Compiled 1 421 to 983 computations (30.8% saved)

simplify124.0ms (1.4%)

Memory
10.9MiB live, 110.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
cost-diff0
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
cost-diff0
(-.f64 c (/.f64 (*.f64 b b) a))
cost-diff0
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
cost-diff320
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
cost-diff0
(/.f64 c b)
cost-diff0
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
cost-diff384
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047399
070399
1114383
2208375
3423361
4806361
52024361
66408361
08168361
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
#s(literal 1/2 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
(-.f64 c (/.f64 (*.f64 b b) a))
c
(/.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(neg.f64 b)
b
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
#s(literal 1/2 binary64)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b))
a
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 c (/.f64 (*.f64 b b) a))
c
(/.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) b)
(neg.f64 b)
b
(/.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
a
(*.f64 b b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize166.0ms (1.9%)

Memory
4.8MiB live, 165.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.992927419484257
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy12.041835145667298
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
accuracy26.261857725404685
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy26.382951475404685
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
accuracy2.992927419484257
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
accuracy12.041835145667298
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
accuracy26.261857725404685
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
accuracy39.91648357464482
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
accuracy0
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))
accuracy8.252174687634032
(/.f64 (*.f64 b b) a)
accuracy10.266164706420845
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
accuracy40.431269257946745
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
accuracy0
(/.f64 c b)
accuracy40.431269257946745
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
accuracy41.89903390291097
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
accuracy0.33716788498651884
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
accuracy2.9391236709916626
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
accuracy12.041835145667298
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
accuracy26.261857725404685
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
Samples
61.0ms33×2valid
52.0ms178×0valid
17.0ms36×1valid
7.0ms3valid
Compiler

Compiled 735 to 86 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-div: 37.0ms (34.7% of total)
ival-sub: 32.0ms (30% of total)
ival-mult: 15.0ms (14.1% of total)
ival-add: 8.0ms (7.5% of total)
adjust: 6.0ms (5.6% of total)
ival-sqrt: 6.0ms (5.6% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.8%)

Memory
-26.5MiB live, 89.9MiB allocated
Counts
20 → 672
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 c (/.f64 (*.f64 b b) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (*.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
c
@0
((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))
3.0ms
c
@inf
((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))
3.0ms
c
@-inf
((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))
3.0ms
a
@-inf
((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))
3.0ms
a
@inf
((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))

simplify202.0ms (2.3%)

Memory
39.1MiB live, 261.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084913597
1280313282
0871212766
Stop Event
iter limit
node limit
Counts
672 → 658
Calls
Call 1
Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* -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))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ (pow b 2) a))
(- c (/ (pow b 2) a))
(- c (/ (pow b 2) a))
(- c (/ (pow b 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))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -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))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (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)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)
(* (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)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* 1/2 (* (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)))))))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* 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)))))))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
c
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -1 (* (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 (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* 1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* 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)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) 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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* (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)))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* (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)))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
c
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -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))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -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))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -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)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(* (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)))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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c
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b
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b
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b
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b
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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))))))))
(* -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))))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* (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)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (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))))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* 1/2 (* (sqrt (/ 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))))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
c
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1 (* (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 (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* -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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* (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)))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (* (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)))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
c
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) (*.f64 b a)) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c)
(/.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -1/2 binary64) b)) c)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (-.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) b)) a) #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -1/2 binary64) b)) c)
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c)) b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
b
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(/.f64 (neg.f64 c) b)
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(*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 4 binary64) c)) a)
(*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 4 binary64) c)) a)
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
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(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (/.f64 b c) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) (neg.f64 a)))
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(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a))))
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(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
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(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
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(/.f64 c b)
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
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(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(/.f64 c b)
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
c
(-.f64 c (/.f64 (*.f64 b b) a))
(-.f64 c (/.f64 (*.f64 b b) a))
(-.f64 c (/.f64 (*.f64 b b) a))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 a)) b) (neg.f64 a))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 a)) b) (neg.f64 a))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
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(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 b b) a)
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) c)))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) c)))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) c)))

rewrite206.0ms (2.4%)

Memory
4.6MiB live, 277.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047323
070294
1275280
22343264
08896264
Stop Event
iter limit
node limit
iter limit
Counts
20 → 720
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
(/.f64 c b)
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))
(-.f64 c (/.f64 (*.f64 b b) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))
(+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(/.f64 (*.f64 b b) a)
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))
Outputs
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eval220.0ms (2.5%)

Memory
15.7MiB live, 354.4MiB allocated
Compiler

Compiled 62 738 to 4 018 computations (93.6% saved)

prune104.0ms (1.2%)

Memory
-34.0MiB live, 150.6MiB allocated
Pruning

33 alts after pruning (28 fresh and 5 done)

PrunedKeptTotal
New1 470151 485
Fresh71320
Picked235
Done022
Total1 479331 512
Accuracy
92.6%
Counts
1 512 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
31.0%
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
27.3%
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))))
32.2%
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
21.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 c c)) (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1/4 binary64) c)) a))))) (*.f64 #s(literal 2 binary64) a))
30.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
31.0%
(/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
32.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)))
51.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
36.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64))))))
33.5%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
32.9%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
51.6%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
51.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
32.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
36.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
28.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
33.2%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
2.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
30.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 c (*.f64 b b)) c) (neg.f64 b)))
1.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 a b) (*.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) (/.f64 a b))))
25.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
36.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
17.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
24.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
9.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
24.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) a)) b)))
24.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
9.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
24.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 c (/.f64 (*.f64 b b) a))))))
5.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))
Compiler

Compiled 1 870 to 1 242 computations (33.6% saved)

simplify117.0ms (1.3%)

Memory
5.5MiB live, 122.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.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 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
cost-diff0
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
cost-diff0
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
cost-diff0
#s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
cost-diff0
(/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)
cost-diff0
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 (neg.f64 c) b)
cost-diff0
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff0
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
cost-diff1024
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060371
092371
1164361
2291349
3529345
4851345
51907345
65854345
08169345
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))
(/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)
#s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
(/.f64 (*.f64 (neg.f64 b) b) a)
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
a
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(*.f64 (*.f64 c a) #s(literal -4 binary64))
(*.f64 c a)
c
a
#s(literal -4 binary64)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #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 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
(neg.f64 b)
Outputs
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
a
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (*.f64 (/.f64 (neg.f64 b) a) b)) b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (*.f64 (/.f64 (neg.f64 b) a) b)) b))
(/.f64 #s(approx (- c (/ (* b b) a)) (*.f64 (/.f64 (neg.f64 b) a) b)) b)
#s(approx (- c (/ (* b b) a)) (*.f64 (/.f64 (neg.f64 b) a) b))
(*.f64 (/.f64 (neg.f64 b) a) b)
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
a
(/.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal -2 binary64) a))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 a c)
c
a
#s(literal -4 binary64)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (/.f64 #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 c #s(literal -4 binary64)) (*.f64 b b)))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(neg.f64 b)

localize184.0ms (2.1%)

Memory
3.0MiB live, 238.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
accuracy0.1953125
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
accuracy19.344829920148104
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
accuracy26.261857725404685
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
accuracy2.992927419484257
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
accuracy12.041835145667298
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
accuracy26.261857725404685
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
accuracy39.91648357464482
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
accuracy8.252174687634032
(/.f64 (*.f64 (neg.f64 b) b) a)
accuracy10.266164706420845
(/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)
accuracy20.960597186033674
#s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
accuracy40.431269257946745
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
accuracy0
(/.f64 (neg.f64 c) b)
accuracy0
(neg.f64 c)
accuracy42.760302042933674
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy0.0078125
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy0.09765625
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
accuracy15.823999077341817
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
accuracy26.261857725404685
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
Samples
65.0ms178×0valid
44.0ms46×2valid
25.0ms27×1valid
10.0ms3valid
Compiler

Compiled 666 to 114 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-div: 39.0ms (36.5% of total)
ival-mult: 24.0ms (22.5% of total)
ival-add: 12.0ms (11.2% of total)
ival-sub: 11.0ms (10.3% of total)
adjust: 9.0ms (8.4% of total)
ival-sqrt: 9.0ms (8.4% of total)
ival-neg: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
-12.9MiB live, 69.4MiB allocated
Counts
21 → 672
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 c) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 b) b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
9.0ms
a
@inf
((- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (- c (/ (* b b) a)) b) (- c (/ (* b b) a)) (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a)) (- (sqrt (- (* b b) (* (* 4 a) c))) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b))) (/ (* (neg b) b) a) (+ (* (* c -4) a) (* b b)))
3.0ms
c
@inf
((- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (- c (/ (* b b) a)) b) (- c (/ (* b b) a)) (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a)) (- (sqrt (- (* b b) (* (* 4 a) c))) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b))) (/ (* (neg b) b) a) (+ (* (* c -4) a) (* b b)))
3.0ms
b
@inf
((- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (- c (/ (* b b) a)) b) (- c (/ (* b b) a)) (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a)) (- (sqrt (- (* b b) (* (* 4 a) c))) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b))) (/ (* (neg b) b) a) (+ (* (* c -4) a) (* b b)))
3.0ms
c
@-inf
((- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (- c (/ (* b b) a)) b) (- c (/ (* b b) a)) (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a)) (- (sqrt (- (* b b) (* (* 4 a) c))) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b))) (/ (* (neg b) b) a) (+ (* (* c -4) a) (* b b)))
3.0ms
a
@-inf
((- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (- c (/ (* b b) a)) b) (- c (/ (* b b) a)) (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a)) (- (sqrt (- (* b b) (* (* 4 a) c))) b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) (* (/ 1/2 a) (neg b)) (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b))) (/ (* (neg b) b) a) (+ (* (* c -4) a) (* b b)))

simplify203.0ms (2.3%)

Memory
22.8MiB live, 216.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069312199
1222911865
2744911859
0802311418
Stop Event
iter limit
node limit
Counts
672 → 658
Calls
Call 1
Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (/ b a))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ (pow b 2) a))
(- c (/ (pow b 2) a))
(- c (/ (pow b 2) a))
(- c (/ (pow b 2) 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)))
(* -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))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))
(* c (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (* 1/2 (/ b (* a c)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ 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)))))))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
c
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ 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)))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
c
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -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)))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
c
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) 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)))))
(* (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)))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* 1/2 (/ b a))
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ c (pow b 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)
(* -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)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (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 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))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(* -1 (/ (pow b 2) a))
(/ (- (* a c) (pow b 2)) a)
(/ (- (* a c) (pow b 2)) a)
(/ (- (* a c) (pow b 2)) 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)))))))
(* -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))))))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(/ (+ (* -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 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a)))
(- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (* 1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
c
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* (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))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -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)))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
c
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -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 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (/.f64 b a) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (/.f64 (neg.f64 c) b))
(fma.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c (*.f64 (/.f64 b a) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
b
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(*.f64 b b)
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))
(/.f64 (neg.f64 c) b)
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 c a)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(neg.f64 c)
(neg.f64 c)
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(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 #s(literal 1/2 binary64) a)
(/.f64 #s(literal 1/2 binary64) a)
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (*.f64 (neg.f64 b) b) a)
(/.f64 (*.f64 (neg.f64 b) b) a)
(/.f64 (*.f64 (neg.f64 b) b) a)
(/.f64 (*.f64 (neg.f64 b) b) a)
(*.f64 (*.f64 a c) #s(literal -4 binary64))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a)))))

rewrite174.0ms (2%)

Memory
20.7MiB live, 168.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060313
092305
1370295
23105278
08787278
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 040
Calls
Call 1
Inputs
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))
(/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)
#s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #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 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))
(/.f64 (*.f64 (neg.f64 b) b) a)
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))
Outputs
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eval354.0ms (4%)

Memory
-5.7MiB live, 500.0MiB allocated
Compiler

Compiled 63 357 to 3 702 computations (94.2% saved)

prune91.0ms (1%)

Memory
26.9MiB live, 189.4MiB allocated
Pruning

38 alts after pruning (30 fresh and 8 done)

PrunedKeptTotal
New1 717121 729
Fresh51823
Picked235
Done055
Total1 724381 762
Accuracy
92.6%
Counts
1 762 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.2%
(fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
51.6%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
31.0%
(/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)) (*.f64 #s(literal 2 binary64) a))
32.2%
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
27.3%
(/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
21.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 c c)) (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1/4 binary64) c)) a))))) (*.f64 #s(literal 2 binary64) a))
30.3%
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
31.0%
(/.f64 (*.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))
32.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)))
51.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
36.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64))))))
33.5%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
36.9%
(-.f64 #s(approx (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
51.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
32.2%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
36.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
28.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
27.2%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
33.2%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
32.9%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
33.1%
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
2.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
30.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 c (*.f64 b b)) c) (neg.f64 b)))
1.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 a b) (*.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) (/.f64 a b))))
25.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
36.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
36.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
17.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
24.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
9.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
24.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a c)) a)) b)))
24.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
9.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
24.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 c (/.f64 (*.f64 b b) a))))))
28.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (*.f64 (neg.f64 #s(approx (- c (/ (* b b) a)) (*.f64 b (/.f64 (neg.f64 b) a)))) (/.f64 #s(literal -1 binary64) b))))
5.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))
10.1%
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
Compiler

Compiled 3 023 to 1 083 computations (64.2% saved)

regimes97.0ms (1.1%)

Memory
-7.9MiB live, 143.2MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a c)) a)) b)))
(-.f64 #s(approx (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (*.f64 (neg.f64 #s(approx (- c (/ (* b b) a)) (*.f64 b (/.f64 (neg.f64 b) a)))) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 c (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 c (/.f64 (*.f64 b b) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 a b) c) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))
(/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))))
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 a b) (*.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 b (*.f64 c #s(literal 1 binary64))) (/.f64 a b))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 c c)) (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1/4 binary64) c)) a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) b) b (/.f64 (neg.f64 b) a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

38.0ms
(/.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))
19.0ms
c
18.0ms
b
18.0ms
a
Results
AccuracySegmentsBranch
51.7%1a
86.4%3b
51.7%1c
74.1%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes48.0ms (0.6%)

Memory
-21.2MiB live, 22.9MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a c)) a)) b)))
(-.f64 #s(approx (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (*.f64 (neg.f64 #s(approx (- c (/ (* b b) a)) (*.f64 b (/.f64 (neg.f64 b) a)))) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 c (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 c (/.f64 (*.f64 b b) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 a b) c) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
86.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a c)) a)) b)))
(-.f64 #s(approx (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (*.f64 (neg.f64 #s(approx (- c (/ (* b b) a)) (*.f64 b (/.f64 (neg.f64 b) a)))) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 c (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 c (/.f64 (*.f64 b b) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 a b) c) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
86.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory
-12.3MiB live, 24.6MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a c)) a)) b)))
(-.f64 #s(approx (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (*.f64 (neg.f64 #s(approx (- c (/ (* b b) a)) (*.f64 b (/.f64 (neg.f64 b) a)))) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 c a) (/.f64 c (*.f64 b b)) c) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 c (/.f64 (*.f64 b b) a))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
82.2%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a c)) a)) b)))
(-.f64 #s(approx (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (*.f64 (neg.f64 #s(approx (- c (/ (* b b) a)) (*.f64 b (/.f64 (neg.f64 b) a)))) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
82.1%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.2%)

Memory
6.6MiB live, 39.5MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a b)) (*.f64 a a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) a)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a c)) a)) b)))
(-.f64 #s(approx (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (*.f64 (neg.f64 #s(approx (- c (/ (* b b) a)) (*.f64 b (/.f64 (neg.f64 b) a)))) (/.f64 #s(literal -1 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

2 calls:

11.0ms
b
7.0ms
(/.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
51.0%3(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
67.8%2b
Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes6.0ms (0.1%)

Memory
-25.6MiB live, 11.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (*.f64 c b) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))
#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
67.6%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
Calls

4 calls:

2.0ms
b
2.0ms
c
2.0ms
a
2.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
36.9%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))
36.9%1a
36.9%1c
44.4%2b
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes19.0ms (0.2%)

Memory
-45.4MiB live, 17.7MiB allocated
Accuracy

Total -0.6b remaining (-1.1%)

Threshold costs -0.6b (-1.1%)

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

4 calls:

13.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
2.0ms
b
2.0ms
c
2.0ms
a
Results
AccuracySegmentsBranch
10.1%1c
10.1%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))
10.1%1a
10.1%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch38.0ms (0.4%)

Memory
27.9MiB live, 105.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
27.0ms
5.030426665059779e-68
2.112743818491915e-64
6.0ms
-5.603231054309569e+157
-3.099248320693138e+149
Samples
10.0ms117×0valid
5.0ms37×1valid
5.0ms22×2valid
4.0ms35×0invalid
Compiler

Compiled 469 to 386 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.2% of total)
ival-div: 3.0ms (17.6% of total)
adjust: 2.0ms (11.7% of total)
ival-sub: 2.0ms (11.7% of total)
ival-sqrt: 2.0ms (11.7% of total)
ival-add: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
1.0ms
5.030426665059779e-68
2.112743818491915e-64
0.0ms
-5.603231054309569e+157
-3.099248320693138e+149
Compiler

Compiled 458 to 386 computations (15.7% saved)

bsearch17.0ms (0.2%)

Memory
-7.1MiB live, 31.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.030426665059779e-68
2.112743818491915e-64
14.0ms
-5.603231054309569e+157
-3.099248320693138e+149
Samples
9.0ms96×0valid
0.0ms0invalid
Compiler

Compiled 676 to 556 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (57.1% of total)
ival-div: 1.0ms (14.3% of total)
ival-sqrt: 1.0ms (14.3% of total)
ival-neg: 1.0ms (14.3% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-4.7MiB live, 38.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.030426665059779e-68
2.112743818491915e-64
17.0ms
-2.2408857696810938e-41
-2.0584393940065815e-42
Samples
11.0ms96×0valid
1.0ms15×0invalid
Compiler

Compiled 654 to 530 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (63.7% of total)
ival-div: 1.0ms (10.6% of total)
ival-add: 1.0ms (10.6% of total)
ival-sub: 1.0ms (10.6% of total)
ival-sqrt: 1.0ms (10.6% of total)
ival-neg: 1.0ms (10.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.030426665059779e-68
2.112743818491915e-64
1.0ms
-2.2408857696810938e-41
-2.0584393940065815e-42
Compiler

Compiled 654 to 530 computations (19% saved)

bsearch31.0ms (0.4%)

Memory
-9.2MiB live, 66.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-1.2852692300480788e-306
7.320969192829664e-303
Samples
16.0ms144×0valid
5.0ms59×0invalid
Compiler

Compiled 443 to 353 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (39.6% of total)
ival-sqrt: 4.0ms (26.4% of total)
ival-div: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
ival-sub: 1.0ms (6.6% of total)
ival-neg: 1.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch58.0ms (0.7%)

Memory
-9.0MiB live, 75.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
54.0ms
5.068898447881776e-302
9.46493470176819e-292
Samples
39.0ms160×0valid
6.0ms77×0invalid
Compiler

Compiled 460 to 380 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 32.0ms (81.6% of total)
ival-div: 2.0ms (5.1% of total)
ival-sqrt: 2.0ms (5.1% of total)
ival-add: 1.0ms (2.6% of total)
ival-sub: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
13.4MiB live, 13.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-1.184639951289448e-290
-1.182342413842664e-295
Samples
12.0ms144×0valid
6.0ms78×0invalid
Compiler

Compiled 425 to 344 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41.5% of total)
ival-div: 1.0ms (8.3% of total)
ival-add: 1.0ms (8.3% of total)
ival-sub: 1.0ms (8.3% of total)
ival-sqrt: 1.0ms (8.3% of total)
ival-neg: 1.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify94.0ms (1.1%)

Memory
5.2MiB live, 43.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099540
1126539
2156539
3170539
4178539
5180539
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 5018671594610287/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2761256655148517/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))
Outputs
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 5018671594610287/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2761256655148517/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))

soundness1.4s (16.3%)

Memory
-31.1MiB live, 944.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453273
117383232
260703204
082353047
069312199
1222911865
2744911859
0802311418
01451
02351
17649
253648
3686448
0815844
043263
069249
1265242
22271234
08226234
095813320
1308513103
0901112564
047323
070294
1275280
22343264
08896264
060313
092305
1370295
23105278
08787278
Stop Event
fuel
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
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 104 to 455 computations (58.8% saved)

preprocess104.0ms (1.2%)

Memory
-7.2MiB live, 110.0MiB allocated
Compiler

Compiled 1 112 to 230 computations (79.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...