Quadratic roots, wide range

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze217.0ms (2.6%)

Memory
-0.6MiB live, 360.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.8%0%0%100%0%0%0%7
15.9%0%0%100%0%0%0%8
23.1%0%0%100%0%0%0%9
36.5%0%0%100%0%0%0%10
45.4%0%0%100%0%0%0%11
52.3%0%0%100%0%0%0%12
Compiler

Compiled 41 to 28 computations (31.7% saved)

sample2.2s (26.5%)

Memory
61.5MiB live, 3 653.0MiB allocated
Samples
1.3s6 709×1valid
192.0ms1 547×0valid
149.0ms1 191×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 302.0ms (23.2% of total)
adjust: 179.0ms (13.7% of total)
const: 169.0ms (13% of total)
ival-sqrt: 129.0ms (9.9% of total)
ival-<: 124.0ms (9.5% of total)
ival-div: 112.0ms (8.6% of total)
ival-sub: 89.0ms (6.8% of total)
ival-add: 89.0ms (6.8% of total)
ival-neg: 54.0ms (4.1% of total)
ival-and: 37.0ms (2.8% of total)
exact: 15.0ms (1.2% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain182.0ms (2.2%)

Memory
-17.0MiB live, 302.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2471(3.2913506421592943e-7 9.219366794159301e-11 5.519649226031664e-17)1(7.460511417495109e-26 1.525698051240075e-12 0.1788035496625582)(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
00-0-a
00-0-#s(literal 4 binary64)
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-#s(literal 2 binary64)
00-0-(neg.f64 b)
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-b
00-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation2473
Confusion
Predicted +Predicted -
+2462
-17
Precision
0.9959514170040485
Recall
0.9919354838709677
Confusion?
Predicted +Predicted MaybePredicted -
+24620
-116
Precision?
0.992
Recall?
1.0
Freqs
test
numberfreq
09
1247
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms428×1valid
8.0ms84×0valid
Compiler

Compiled 231 to 60 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 16.0ms (30.8% of total)
adjust: 8.0ms (15.4% of total)
ival-sqrt: 7.0ms (13.5% of total)
ival-div: 6.0ms (11.5% of total)
ival-add: 5.0ms (9.6% of total)
ival-sub: 5.0ms (9.6% of total)
ival-neg: 2.0ms (3.8% of total)
ival-true: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)

preprocess135.0ms (1.6%)

Memory
-16.3MiB live, 97.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054158
1162144
2463144
31244144
43263144
56182144
01417
02317
14016
27716
316016
424016
538116
666516
7114216
8231616
9262216
10273716
11279216
12279316
13279316
14279916
0279915
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify74.0ms (0.9%)

Memory
-0.9MiB live, 38.1MiB 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
666568
7114268
8231668
9262268
10273768
11279268
12279368
13279368
14279968
0279964
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize64.0ms (0.8%)

Memory
14.8MiB live, 93.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy0.07259750976844201
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy0.3046875
(/.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))
accuracy52.701340434391334
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
Samples
49.0ms214×1valid
4.0ms42×0valid
Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 7.0ms (22.9% of total)
ival-div: 6.0ms (19.6% of total)
ival-sqrt: 6.0ms (19.6% of total)
adjust: 4.0ms (13.1% of total)
ival-sub: 4.0ms (13.1% of total)
ival-add: 2.0ms (6.5% 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)

series26.0ms (0.3%)

Memory
0.9MiB live, 39.7MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())
Outputs
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify169.0ms (2%)

Memory
-3.5MiB live, 226.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05453273
117383232
261083204
083743047
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
Outputs
(* -2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c)))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c)
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64)))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(*.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))))) c)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) c) b) c)))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 c))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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rewrite146.0ms (1.7%)

Memory
3.3MiB live, 162.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
02351
17649
253648
3689248
0818644
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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eval100.0ms (1.2%)

Memory
12.1MiB live, 170.8MiB allocated
Compiler

Compiled 18 694 to 2 144 computations (88.5% saved)

prune37.0ms (0.4%)

Memory
1.6MiB live, 82.1MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New56924593
Fresh000
Picked101
Done000
Total57024594
Accuracy
99.6%
Counts
594 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
17.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
17.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
17.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
17.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
12.1%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
17.5%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a))
94.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
96.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
90.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
94.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
17.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)))
17.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
17.2%
(-.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)))
17.6%
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))))
17.5%
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))
17.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
15.1%
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b))
90.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
96.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
95.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
94.8%
#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 1 368 to 804 computations (41.2% saved)

simplify162.0ms (1.9%)

Memory
-24.8MiB live, 207.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b))
cost-diff6464
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
cost-diff0
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
cost-diff384
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
cost-diff6080
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
cost-diff0
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
cost-diff0
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
cost-diff0
(neg.f64 b)
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))
cost-diff0
(neg.f64 c)
cost-diff0
(/.f64 (neg.f64 c) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
cost-diff320
(fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64))))
cost-diff704
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073622
0124620
1217612
2458605
31337590
44234590
57244590
08011582
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64))))
(/.f64 #s(literal -1/4 binary64) a)
#s(literal -1/4 binary64)
a
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))
(pow.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 20 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 c b)
c
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (*.f64 a #s(literal -2 binary64)) a)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))
(neg.f64 a)
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
b
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
c
#s(literal 3 binary64)
a
#s(literal -2 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
(/.f64 c b)
(/.f64 (*.f64 c a) b)
(*.f64 c a)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) a) (pow.f64 b #s(literal 7 binary64)))) c (/.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) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) a) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) a) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) a) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 4 binary64))) c) a) (pow.f64 b #s(literal 7 binary64))))
(/.f64 #s(literal -1/4 binary64) a)
#s(literal -1/4 binary64)
a
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b))
(*.f64 (*.f64 c (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))
(*.f64 #s(literal 20 binary64) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 20 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 c b)
c
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) a))
(*.f64 (*.f64 a #s(literal -2 binary64)) a)
(*.f64 (*.f64 #s(literal -2 binary64) a) a)
(*.f64 a #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))
(neg.f64 a)
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) a) #s(literal -2 binary64))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
b
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 c (fma.f64 a (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 4 binary64))) c) c) a (/.f64 (/.f64 (neg.f64 c) b) b)) #s(literal -1 binary64))) b))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)
(/.f64 (*.f64 c (fma.f64 a (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 4 binary64))) c) c) a (/.f64 (/.f64 (neg.f64 c) b) b)) #s(literal -1 binary64))) b)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c))
(*.f64 c (fma.f64 a (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 4 binary64))) c) c) a (/.f64 (/.f64 (neg.f64 c) b) b)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) a))
(*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(pow.f64 c #s(literal 3 binary64))
c
#s(literal 3 binary64)
a
#s(literal -2 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c)
(/.f64 c b)
(/.f64 (*.f64 c a) b)
(*.f64 (/.f64 c b) a)
(*.f64 c a)

localize324.0ms (3.9%)

Memory
22.8MiB live, 495.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.29296875
(/.f64 (*.f64 c a) b)
accuracy0.296875
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
accuracy0.37890625
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)))
accuracy2.4219848785970752
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b))
accuracy0.23046875
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
accuracy0.265625
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
accuracy0.2890625
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
accuracy52.701340434391334
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
accuracy0.006191259768442017
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
accuracy0.01953125
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
accuracy0.3046875
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
accuracy52.701340434391334
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))
accuracy0
(/.f64 (neg.f64 c) b)
accuracy0
(neg.f64 c)
accuracy6.041468535807567
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy0.28125
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))
accuracy0.34212875976844204
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))
accuracy0.3974800293053261
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b))
accuracy1.9254543222118845
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
Samples
232.0ms214×1valid
26.0ms42×0valid
Compiler

Compiled 1 143 to 137 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-mult: 68.0ms (33.4% of total)
adjust: 36.0ms (17.7% of total)
ival-div: 31.0ms (15.2% of total)
ival-pow: 31.0ms (15.2% of total)
ival-add: 16.0ms (7.8% of total)
ival-sqrt: 10.0ms (4.9% of total)
ival-sub: 7.0ms (3.4% of total)
ival-neg: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series137.0ms (1.6%)

Memory
-13.7MiB live, 227.8MiB allocated
Counts
24 → 756
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (patch (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())
#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (patch (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) (patch (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b) (patch (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (patch (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())
Outputs
#s(alt (* 20 (/ (* (pow a 4) c) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (patch (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* 20 (/ (* (pow a 4) c) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (patch (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* 20 (/ (* (pow a 4) c) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (patch (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* 20 (/ (* (pow a 4) c) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (patch (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow a 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ c b)) (taylor inf c) (#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ())) ())
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#s(alt (* -1 c) (taylor inf c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor inf c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* -1 c) (taylor inf c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) #<representation binary64>) () ())) ())
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#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (taylor inf c) (#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) c) (taylor inf c) (#s(alt (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) (patch (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) (patch (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c) (taylor inf c) (#s(alt (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) (taylor inf c) (#s(alt (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) (patch (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c)))) (taylor inf c) (#s(alt (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) (patch (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
18.0ms
c
@0
((* (/ (* (pow a 4) 20) (pow b 6)) (/ c b)) (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) b) (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (/ (* (* a -2) a) (pow b 5)) (* (pow a 4) 20) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (* (* (pow c 3) a) a) (/ (* c a) b))
16.0ms
b
@0
((* (/ (* (pow a 4) 20) (pow b 6)) (/ c b)) (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) b) (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (/ (* (* a -2) a) (pow b 5)) (* (pow a 4) 20) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (* (* (pow c 3) a) a) (/ (* c a) b))
11.0ms
a
@-inf
((* (/ (* (pow a 4) 20) (pow b 6)) (/ c b)) (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) b) (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (/ (* (* a -2) a) (pow b 5)) (* (pow a 4) 20) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (* (* (pow c 3) a) a) (/ (* c a) b))
10.0ms
b
@-inf
((* (/ (* (pow a 4) 20) (pow b 6)) (/ c b)) (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) b) (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (/ (* (* a -2) a) (pow b 5)) (* (pow a 4) 20) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (* (* (pow c 3) a) a) (/ (* c a) b))
8.0ms
c
@inf
((* (/ (* (pow a 4) 20) (pow b 6)) (/ c b)) (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) b) (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (/ (* (* a -2) a) (pow b 5)) (* (pow a 4) 20) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (* (* (pow c 3) a) a) (/ (* c a) b))

simplify275.0ms (3.3%)

Memory
-9.8MiB live, 317.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129515154
1431814791
0820414368
Stop Event
iter limit
node limit
Counts
756 → 753
Calls
Call 1
Inputs
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -2 (/ (pow a 2) (pow b 5)))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -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 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)
(* -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 c)))
(/ (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -1/2 (/ b a)) (* c (+ (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -1/2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* -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)
(* c (- (* -1 (/ (* a c) (pow b 2))) 1))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -5 (/ (* (pow a 3) c) (pow b 7)))
(* c (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* c (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* c (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* (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 (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* (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)
(* 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 (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -4))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) c)
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ a (* (pow b 2) c)))))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c))))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 4))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) c))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1 (/ a (* (pow b 3) c)))) (/ 1 (* b (pow c 2)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* 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)))))))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -5 (/ (* (pow a 3) c) (pow b 7)))
(* -1 (* c (+ (* 2 (/ (pow a 2) (* (pow b 5) c))) (* 5 (/ (pow a 3) (pow b 7))))))
(* -1 (* c (+ (* 2 (/ (pow a 2) (* (pow b 5) c))) (* 5 (/ (pow a 3) (pow b 7))))))
(* -1 (* c (+ (* 2 (/ (pow a 2) (* (pow b 5) c))) (* 5 (/ (pow a 3) (pow b 7))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -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))))
(* -1/2 (* (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))
(* -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 (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -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 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c)))))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c))))))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* -1 (* (pow c 3) (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c)))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -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)))))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -5 (/ (* (pow a 3) c) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* (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 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)))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* (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))))
(* 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 (/ 1 (* a c))) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (/ b (* a (* c (pow (sqrt -4) 2)))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 4))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))) (pow b 4))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(/ (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))) (pow b 5))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -2 (/ (pow a 2) (pow b 5)))
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5))
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5))
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -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 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)))))))
(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)))))
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 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)
(* -1/2 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c)))))))
(* -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)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -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 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))))))))
(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)))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ 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)
(* -1 (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b))
(* -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 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -2 (/ (pow a 2) (pow b 5)))
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* -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 (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))))))
(* -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 c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -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 c)))
(/ (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* -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)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c)
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c)
(* -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 (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* 20 (pow a 4))
(* 20 (pow a 4))
(* 20 (pow a 4))
(* 20 (pow a 4))
(* -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)))))))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -5 (/ (* (pow a 3) c) (pow b 7)))
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))
(* 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 (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* 1/2 (* (sqrt (/ 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 (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2)))))
(* (pow a 2) (- (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ c (pow a 2)))) (/ (pow c 2) (* a (pow b 2)))))
(* 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))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ c (* (pow a 2) b))) (* -1 (/ (pow c 2) (* a (pow b 3)))))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* 20 (pow a 4))
(* 20 (pow a 4))
(* 20 (pow a 4))
(* 20 (pow a 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))))))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(* -5 (/ (* (pow a 3) c) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))))
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))))
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -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))))
(* -1/2 (* (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))))
(* -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 (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -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 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* -2 (/ (pow a 2) (pow b 5)))
(* 20 (pow a 4))
(* 20 (pow a 4))
(* 20 (pow a 4))
(* 20 (pow a 4))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(* (pow a 2) (pow c 3))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
Outputs
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(* 20 (/ (* (pow a 4) c) (pow b 7)))
(/.f64 (*.f64 #s(literal 20 binary64) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(* -2 (/ (pow a 2) (pow b 5)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(pow b 2)
(*.f64 b b)
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(* -4 (* a c))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 c #s(literal 4 binary64) (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 c #s(literal 4 binary64) (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 c #s(literal 4 binary64) (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* -1/4 (/ b c)))
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(+ (* -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))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) a))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
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(+ (* -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)))
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(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 b c)))) a)
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 a (/.f64 b c)) #s(literal -1/4 binary64))) a))) a)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/32 binary64) c) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/16 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/16 binary64)))) a) #s(literal -1 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal -1/4 binary64))) a))) a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) a)))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) a) b) a)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (*.f64 (*.f64 b b) a))) (*.f64 a a))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 c a) (*.f64 (/.f64 c b) (/.f64 c b))) a)) (*.f64 a a))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 c a) (*.f64 (/.f64 c b) (/.f64 c b))) a)) (*.f64 a a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a)) a)))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 3 binary64)) a))) (*.f64 a a))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a)) (*.f64 a a))
(* (pow a 2) (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a)) (*.f64 a a))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64))
(* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64))
(* -2 (/ (pow a 2) (pow b 5)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow a 2) (pow b 5)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow a 2) (pow b 5)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* -2 (/ (pow a 2) (pow b 5)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* 20 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))
(* 20 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))
(* 20 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))
(* 20 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a)) a)))
(* (pow a 2) (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 2) (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 2) (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 2) (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 a a))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))

rewrite222.0ms (2.7%)

Memory
31.2MiB live, 223.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073403
0124403
1474383
23848381
08253381
Stop Event
iter limit
node limit
iter limit
Counts
24 → 650
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b))
(fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))
(neg.f64 b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b)
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a)
(/.f64 (*.f64 c a) b)
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eval287.0ms (3.4%)

Memory
-11.7MiB live, 403.3MiB allocated
Compiler

Compiled 43 374 to 4 459 computations (89.7% saved)

prune104.0ms (1.2%)

Memory
-6.3MiB live, 271.4MiB allocated
Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New1 368351 403
Fresh15419
Picked415
Done000
Total1 387401 427
Accuracy
99.8%
Counts
1 427 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
18.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
18.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)))) (*.f64 #s(literal 2 binary64) a))
17.8%
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)))
18.5%
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))))
18.5%
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)))))
17.8%
(/.f64 (-.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))) (*.f64 #s(literal 2 binary64) a))
18.4%
(/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) (*.f64 #s(literal 2 binary64) a))
17.6%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (*.f64 #s(literal 2 binary64) a))
17.6%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
12.1%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
17.8%
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
18.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) a))
94.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
17.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)))
18.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) #s(literal -1 binary64)) a))
17.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a))
95.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (neg.f64 c) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c)) a))
90.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) a))
94.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b)) a))
96.1%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
94.7%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
96.0%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (fma.f64 (neg.f64 c) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -1/2 binary64) b)) c)))
94.7%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)))
95.9%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c))) b)))
17.2%
(-.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)))
17.2%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
17.8%
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
17.5%
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))
17.6%
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
90.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
94.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
90.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
95.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 c c) a (*.f64 (*.f64 b b) c))) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) b))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 a (*.f64 b b))) c #s(literal -1 binary64)) c)) b))
90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
96.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
90.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
95.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) b) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a)) (*.f64 a a))))
95.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 c c) a (*.f64 (*.f64 b b) c))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))))
Compiler

Compiled 2 179 to 1 292 computations (40.7% saved)

simplify175.0ms (2.1%)

Memory
13.1MiB live, 172.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff320
(/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)))
cost-diff896
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
cost-diff6080
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
cost-diff7168
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64))
cost-diff0
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
cost-diff0
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
cost-diff896
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
cost-diff1024
(*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b))
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)
cost-diff0
#s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))
cost-diff0
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)))
cost-diff0
(/.f64 #s(literal -1 binary64) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
cost-diff192
(*.f64 c (/.f64 #s(literal -1 binary64) b))
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
cost-diff6464
(fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087772
0129750
1226746
2486695
31262668
44267660
57843660
08142648
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b))
(fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b)))
(*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64)))
#s(literal -5 binary64)
(pow.f64 a #s(literal 3 binary64))
a
#s(literal 3 binary64)
c
(*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))
(*.f64 (*.f64 a a) #s(literal -2 binary64))
(*.f64 a a)
#s(literal -2 binary64)
(*.f64 b b)
b
(pow.f64 b #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))
(neg.f64 a)
(pow.f64 b #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
(*.f64 c (/.f64 #s(literal -1 binary64) b))
c
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)))
#s(literal 1/2 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
b
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
b
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
b
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(literal -1 binary64)
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a #s(literal -5 binary64)) c (*.f64 (*.f64 b b) #s(literal -2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a #s(literal -5 binary64)) c (*.f64 (*.f64 b b) #s(literal -2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b))
(fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a #s(literal -5 binary64)) c (*.f64 (*.f64 b b) #s(literal -2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b))
(fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))))
(fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a #s(literal -5 binary64)) c (*.f64 (*.f64 b b) #s(literal -2 binary64)))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))
#s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a #s(literal -5 binary64)) c (*.f64 (*.f64 b b) #s(literal -2 binary64)))) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a #s(literal -5 binary64)) c (*.f64 (*.f64 b b) #s(literal -2 binary64)))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b)))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 a #s(literal -5 binary64)) c (*.f64 (*.f64 b b) #s(literal -2 binary64))))
(*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -5 binary64))
#s(literal -5 binary64)
(pow.f64 a #s(literal 3 binary64))
a
#s(literal 3 binary64)
c
(*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))
(*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal -2 binary64) a))
(*.f64 (*.f64 a a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 a a))
(*.f64 a a)
#s(literal -2 binary64)
(*.f64 b b)
b
(pow.f64 b #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))
(neg.f64 a)
(pow.f64 b #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(*.f64 c (/.f64 #s(literal -1 binary64) b))
(/.f64 c (neg.f64 b))
c
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c)))
#s(literal 1/2 binary64)
#s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b))
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
b
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64))
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
b
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) c) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) c)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
b
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(literal -1 binary64)
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))

localize348.0ms (4.2%)

Memory
-25.8MiB live, 537.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1953125
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64))
accuracy0.234375
(/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)))
accuracy0.2890625
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
accuracy52.6114251261187
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
accuracy0.0703125
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
accuracy0.078125
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
accuracy0.2421875
(*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
accuracy52.6114251261187
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
accuracy0.06640625
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)
accuracy0.23046875
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)))
accuracy0.29296875
(*.f64 a (/.f64 c b))
accuracy3.194163453260751
#s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))
accuracy0
(/.f64 #s(literal -1 binary64) b)
accuracy0.32421875
(*.f64 c (/.f64 #s(literal -1 binary64) b))
accuracy6.041468535807567
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
accuracy0.27734375
(*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))
accuracy0.28125
(/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))
accuracy0.31478500976844204
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))
accuracy1.9254543222118845
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
Samples
231.0ms214×1valid
25.0ms42×0valid
Compiler

Compiled 1 190 to 137 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-mult: 57.0ms (28% of total)
ival-pow: 47.0ms (23.1% of total)
ival-div: 32.0ms (15.7% of total)
adjust: 28.0ms (13.7% of total)
ival-add: 18.0ms (8.8% of total)
ival-sqrt: 10.0ms (4.9% of total)
ival-sub: 7.0ms (3.4% of total)
ival-neg: 3.0ms (1.5% of total)
exact: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series109.0ms (1.3%)

Memory
-0.8MiB live, 164.3MiB allocated
Counts
23 → 768
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (patch (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) (patch (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) #<representation binary64>) () ())
#s(alt (*.f64 c (/.f64 #s(literal -1 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1 binary64) b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) b) (patch (/.f64 #s(literal -1 binary64) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (patch (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) (patch (/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) (patch (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b)) (patch (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (patch (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #<representation binary64>) () ())
Outputs
#s(alt (* -2 (* (pow a 2) (pow b 2))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (patch (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (patch (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (patch (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (patch (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (patch (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (patch (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
17.0ms
a
@inf
((+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) (* c (/ -1 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (+ (* b b) (* (* -4 c) a)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) (/ (+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (pow b 7)) (/ (neg a) (pow b 3)) (* (* (* a a) -2) (* b b)) (* a (/ c b)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b))
8.0ms
c
@-inf
((+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) (* c (/ -1 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (+ (* b b) (* (* -4 c) a)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) (/ (+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (pow b 7)) (/ (neg a) (pow b 3)) (* (* (* a a) -2) (* b b)) (* a (/ c b)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b))
6.0ms
a
@0
((+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) (* c (/ -1 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (+ (* b b) (* (* -4 c) a)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) (/ (+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (pow b 7)) (/ (neg a) (pow b 3)) (* (* (* a a) -2) (* b b)) (* a (/ c b)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b))
6.0ms
b
@0
((+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) (* c (/ -1 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (+ (* b b) (* (* -4 c) a)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) (/ (+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (pow b 7)) (/ (neg a) (pow b 3)) (* (* (* a a) -2) (* b b)) (* a (/ c b)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b))
6.0ms
a
@-inf
((+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) (* c (/ -1 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ 1/2 (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a)) (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/ (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) c) (+ (* 1/2 (* a (/ c b))) (* -1/2 b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (+ (* b b) (* (* -4 c) a)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) (/ (+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (pow b 7)) (/ (neg a) (pow b 3)) (* (* (* a a) -2) (* b b)) (* a (/ c b)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b))

simplify219.0ms (2.6%)

Memory
27.2MiB live, 255.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127412604
1425112187
0809211804
Stop Event
iter limit
node limit
Counts
768 → 768
Calls
Call 1
Inputs
(* -2 (* (pow a 2) (pow b 2)))
(+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2))))
(+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2))))
(+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (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))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))
(- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ 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)
(* -1/2 (/ b c))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(* -1/2 b)
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(* -2 (/ (pow a 2) (pow b 5)))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -5 (* (pow a 3) c))
(* c (+ (* -5 (pow a 3)) (* -2 (/ (* (pow a 2) (pow b 2)) c))))
(* c (+ (* -5 (pow a 3)) (* -2 (/ (* (pow a 2) (pow b 2)) c))))
(* c (+ (* -5 (pow a 3)) (* -2 (/ (* (pow a 2) (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)))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3)))))
(* -5 (/ (* (pow a 3) (pow c 3)) (pow b 7)))
(* (pow c 3) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 3) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 3) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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)
(* 1/2 (/ a b))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))))
(* c (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))))
(* c (+ (* -1/2 (/ b c)) (* 1/2 (/ a b))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(/ -1/2 c)
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(/ -1/2 c)
(/ -1/2 c)
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(* c (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* c (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
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(* -5 (* (pow a 3) c))
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(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))
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(* -1 (/ c b))
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(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* 1/2 (/ (* a c) b))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))))
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(* -4 (* a c))
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(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -5 (* (pow a 3) c))
(+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2))))
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(+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7))
(* -5 (/ (* (pow a 3) (pow c 3)) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) (pow c 3))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 2))) (* -1 (* a (* (pow b 2) c)))))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1 (* a c)) (* -1 (pow b 2))))))) (pow b 7))
(* -1 (/ c b))
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(* -1 (/ c b))
(* -1 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
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(/ -1 b)
(/ -1 b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) b)
(* 1/2 (/ (* a c) b))
(/ (+ (* -1/2 (pow b 2)) (* 1/2 (* a c))) b)
(/ (+ (* -1/2 (pow b 2)) (* 1/2 (* a c))) b)
(/ (+ (* -1/2 (pow b 2)) (* 1/2 (* a c))) b)
(* -2 c)
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(* -4 (* a c))
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(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(* -5 (/ (* (pow a 3) c) (pow b 7)))
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7))
(/ (+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2)))) (pow b 7))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
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(* -2 (* (pow a 2) (pow b 2)))
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(* -2 (* (pow a 2) (pow b 2)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (* (pow a 2) (pow b 2)))
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(* (pow b 2) (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))))
(* (pow b 2) (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))))
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b)
(/ -1 b)
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(/ (- (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2)))) 1) b)
(/ (- (+ (* -5 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) 1) 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)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))
(* -1/2 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* -1/2 b)
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(* b (- (* 1/2 (/ (* a c) (pow b 2))) 1/2))
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 1/2))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* 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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (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)))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(* -2 (/ (pow a 2) (pow b 5)))
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5))
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5))
(/ (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))) (pow b 5))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))))
(* (pow b 2) (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 2))))
(* (pow b 2) (+ (* -5 (/ (* (pow a 3) c) (pow b 2))) (* -2 (pow a 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 (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (/ (* a c) (pow b 2))))) b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ -1 b)
(/ -1 b)
(/ -1 b)
(/ -1 b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1/2 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1/2 b)
(* -1 (* b (+ 1/2 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/2 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/2 (* -1/2 (/ (* a c) (pow b 2))))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(* -2 (/ (pow a 2) (pow b 5)))
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 2 (pow a 2)) (* 5 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* -2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -5 (* a c)) (* -2 (pow b 2))))
(* (pow a 2) (+ (* -5 (* a c)) (* -2 (pow b 2))))
(* (pow a 2) (+ (* -5 (* a c)) (* -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 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))))))
(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* a (+ (* -2 (/ (* a (pow c 2)) (pow b 5))) (* -1 (/ c (pow b 3))))) (/ 1 b))
(- (* a (+ (* -1 (/ c (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 3)) (pow b 7))) (* -2 (/ (pow c 2) (pow b 5))))))) (/ 1 b))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ 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 c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(* -1/2 b)
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(* -2 (/ (pow a 2) (pow b 5)))
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* (pow a 2) (- (* -5 (/ (* a c) (pow b 7))) (* 2 (/ 1 (pow b 5)))))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -5 (* (pow a 3) c))
(* (pow a 3) (+ (* -5 c) (* -2 (/ (pow b 2) a))))
(* (pow a 3) (+ (* -5 c) (* -2 (/ (pow b 2) a))))
(* (pow a 3) (+ (* -5 c) (* -2 (/ (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))))))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))
(* -5 (/ (* (pow a 3) (pow c 3)) (pow b 7)))
(* (pow a 3) (+ (* -5 (/ (pow c 3) (pow b 7))) (* -2 (/ (pow c 2) (* a (pow b 5))))))
(* (pow a 3) (+ (* -5 (/ (pow c 3) (pow b 7))) (+ (* -2 (/ (pow c 2) (* a (pow b 5)))) (* -1 (/ c (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (- (+ (* -5 (/ (pow c 3) (pow b 7))) (+ (* -2 (/ (pow c 2) (* a (pow b 5)))) (* -1 (/ c (* (pow a 2) (pow b 3)))))) (/ 1 (* (pow a 3) 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))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* 1/2 (/ a b))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))))
(* a (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))))
(* a (+ (* -1/2 (/ b a)) (* 1/2 (/ c b))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(* -5 (/ (* (pow a 3) c) (pow b 7)))
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))
(* (pow a 3) (- (* -5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5))))))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -5 (* (pow a 3) c))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow b 2) a)) (* 5 c))))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow b 2) a)) (* 5 c))))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow b 2) a)) (* 5 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)))
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))
(* -5 (/ (* (pow a 3) (pow c 3)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 2 (/ (pow c 2) (* a (pow b 5)))) (* 5 (/ (pow c 3) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 2) (pow b 5))) (* -1 (/ c (* a (pow b 3))))) a)) (* 5 (/ (pow c 3) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 2) (pow b 5))) (* -1 (/ (+ (/ 1 (* a b)) (/ c (pow b 3))) a))) a)) (* 5 (/ (pow c 3) (pow b 7))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1/2 (* (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))))
(* 1/2 (/ a b))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* 1/2 (/ (* a c) b))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(/ -1/2 c)
(* -5 (/ (* (pow a 3) c) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))))
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))))
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -1 (/ a (pow b 3)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(* -2 (* (pow a 2) (pow b 2)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
Outputs
(* -2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))
(+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2))))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -5 binary64)))
(+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2))))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -5 binary64)))
(+ (* -5 (* (pow a 3) c)) (* -2 (* (pow a 2) (pow b 2))))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b) (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -5 binary64)))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))
(- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -5 binary64) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* -1/2 (/ b c))
(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) 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)
(/.f64 (fma.f64 (fma.f64 (neg.f64 c) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -1/2 binary64) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (-.f64 (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) 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 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) b) (/.f64 a b))) (*.f64 (/.f64 (neg.f64 (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ b c))
(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c)
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* 1/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b))
(* -2 c)
(*.f64 c #s(literal -2 binary64))
(* -2 c)
(*.f64 c #s(literal -2 binary64))
(* -2 c)
(*.f64 c #s(literal -2 binary64))
(* -2 c)
(*.f64 c #s(literal -2 binary64))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 (*.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 (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))
(* -2 c)
(*.f64 c #s(literal -2 binary64))
(* -2 c)
(*.f64 c #s(literal -2 binary64))
(* -2 c)
(*.f64 c #s(literal -2 binary64))
(* -2 c)
(*.f64 c #s(literal -2 binary64))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
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(* -4 (* a c))
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(* -4 (* a c))
(*.f64 #s(literal -4 binary64) (*.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (neg.f64 (*.f64 b b)) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (neg.f64 (*.f64 b b)) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (neg.f64 (*.f64 b b)) a)))
(* -2 c)
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(* -2 c)
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(* -2 c)
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(* -2 c)
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(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))) a)
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
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(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
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(/ -1/2 c)
(/.f64 #s(literal -1/2 binary64) c)
(/ -1/2 c)
(/.f64 #s(literal -1/2 binary64) c)
(/ -1/2 c)
(/.f64 #s(literal -1/2 binary64) c)
(/ -1/2 c)
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(* -5 (/ (* (pow a 3) c) (pow b 7)))
(/.f64 (*.f64 (*.f64 c (pow.f64 a #s(literal 3 binary64))) #s(literal -5 binary64)) (pow.f64 b #s(literal 7 binary64)))
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))))
(*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 c (pow.f64 b #s(literal 7 binary64))) #s(literal 5 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) a))))
(* -1 (* (pow a 3) (+ (* 5 (/ c (pow b 7))) (* 2 (/ 1 (* a (pow b 5)))))))
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(/ (* a c) b)
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(/ (* a c) b)
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(/ (* a c) b)
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(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a)) a)))

rewrite194.0ms (2.3%)

Memory
-14.2MiB live, 264.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087515
0129507
1504465
24068449
08747446
Stop Event
iter limit
node limit
iter limit
Counts
23 → 716
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b))
(*.f64 c (/.f64 #s(literal -1 binary64) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal -1 binary64) b)
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)))
#s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) c)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
(-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)))
(/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))
(*.f64 a (/.f64 c b))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
Outputs
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eval345.0ms (4.1%)

Memory
35.7MiB live, 616.1MiB allocated
Compiler

Compiled 64 271 to 4 965 computations (92.3% saved)

prune77.0ms (0.9%)

Memory
-42.7MiB live, 168.5MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 95171 958
Fresh26834
Picked415
Done011
Total1 981171 998
Accuracy
100.0%
Counts
1 998 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
19.6%
(/.f64 (*.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))
94.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
99.9%
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
90.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) a))
96.1%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
94.7%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
17.2%
(-.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)))
17.6%
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
99.5%
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
90.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
94.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
90.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
96.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 #s(approx (+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal -5 binary64) (*.f64 (*.f64 b b) #s(literal -2 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
95.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 c c) (*.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b b))) (*.f64 b b) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -5 binary64)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) c))
90.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
Compiler

Compiled 655 to 461 computations (29.6% saved)

simplify131.0ms (1.6%)

Memory
48.0MiB live, 199.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))
cost-diff0
(*.f64 c #s(literal -2 binary64))
cost-diff0
#s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64)))
cost-diff6080
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
cost-diff0
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
cost-diff1024
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
cost-diff0
#s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 b c))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
cost-diff0
(*.f64 c #s(literal -2 binary64))
cost-diff0
#s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64)))
cost-diff0
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055404
082398
1139394
2256360
3554352
41396336
54706336
08342336
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
#s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64)))
(*.f64 c #s(literal -2 binary64))
c
#s(literal -2 binary64)
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
b
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
#s(literal -1 binary64)
(/.f64 b c)
b
c
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))
(neg.f64 b)
b
#s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
#s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64)))
(*.f64 c #s(literal -2 binary64))
c
#s(literal -2 binary64)
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
b
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
a
#s(literal -1 binary64)
Outputs
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64)))
#s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c))
(*.f64 c #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) c)
c
#s(literal -2 binary64)
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
b
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 #s(literal -1 binary64) (/.f64 b c))
(/.f64 (neg.f64 c) b)
#s(literal -1 binary64)
(/.f64 b c)
b
c
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))
(-.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b)
(neg.f64 b)
b
#s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
#s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 b (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
#s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64)))
#s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c))
(*.f64 c #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) c)
c
#s(literal -2 binary64)
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
b
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
a
#s(literal -1 binary64)

localize220.0ms (2.6%)

Memory
-27.7MiB live, 464.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
accuracy0.0703125
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
accuracy0.08984375
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))
accuracy0.2890625
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
accuracy0.01953125
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
accuracy0.05078125
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
accuracy0.06869125976844201
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
accuracy52.87340165034943
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
accuracy0.29296875
(*.f64 a (/.f64 c b))
accuracy0.3046875
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
accuracy3.3252092167399354
#s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
accuracy52.701340434391334
(+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))
accuracy0
(/.f64 b c)
accuracy0.20703125
(/.f64 #s(literal -1 binary64) (/.f64 b c))
accuracy6.041468535807567
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
accuracy0.006191259768442017
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
accuracy0.01953125
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
accuracy0.0703125
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
accuracy0.078125
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
Samples
150.0ms218×1valid
32.0ms38×0valid
Compiler

Compiled 670 to 82 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-pow: 30.0ms (22.6% of total)
ival-div: 29.0ms (21.9% of total)
ival-mult: 20.0ms (15.1% of total)
adjust: 16.0ms (12.1% of total)
ival-add: 14.0ms (10.6% of total)
ival-sub: 11.0ms (8.3% of total)
ival-sqrt: 10.0ms (7.5% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
8.1MiB live, 128.2MiB allocated
Counts
21 → 684
Calls
Call 1
Inputs
#s(alt (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) (patch (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #<representation binary64>) () ())
#s(alt #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (patch #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 c #s(literal -2 binary64)) (patch (*.f64 c #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (patch (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1 binary64) (/.f64 b c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))) (patch (*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (patch #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (patch (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) (patch (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) (patch (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) (patch (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) (patch (/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) #<representation binary64>) () ())) ())
#s(alt (* -2 c) (taylor 0 c) (#s(alt #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (patch #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 c) (taylor 0 c) (#s(alt #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (patch #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 c) (taylor 0 c) (#s(alt #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (patch #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 c) (taylor 0 c) (#s(alt #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (patch #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 c) (taylor 0 c) (#s(alt (*.f64 c #s(literal -2 binary64)) (patch (*.f64 c #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 c) (taylor 0 c) (#s(alt (*.f64 c #s(literal -2 binary64)) (patch (*.f64 c #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 c) (taylor 0 c) (#s(alt (*.f64 c #s(literal -2 binary64)) (patch (*.f64 c #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 c) (taylor 0 c) (#s(alt (*.f64 c #s(literal -2 binary64)) (patch (*.f64 c #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (patch (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (patch (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (patch (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (patch (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) #<representation binary64>) () ())) ())
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#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (*.f64 a (/.f64 c b)) (patch (*.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
b
@0
((/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (* c -2) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* a (/ c b)))
4.0ms
a
@inf
((/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (* c -2) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* a (/ c b)))
3.0ms
c
@-inf
((/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (* c -2) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* a (/ c b)))
3.0ms
c
@inf
((/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (* c -2) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* a (/ c b)))
3.0ms
a
@-inf
((/ (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b)) (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (* c -2) (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -4 c) a)))) (* 2 a)) (neg b) (sqrt (+ (* b b) (* (* -4 c) a))) (- (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (/ b (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (* (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1)) (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (pow (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) -1) (sqrt (+ (* b b) (* (* -4 c) a))) (+ (* b b) (* (* -4 c) a)) (* a (/ c b)))

simplify232.0ms (2.8%)

Memory
7.2MiB live, 285.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116213759
1387613235
0812112747
Stop Event
iter limit
node limit
Counts
684 → 675
Calls
Call 1
Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(/ b c)
(/ b c)
(/ b c)
(/ 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))))))))
(* -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))))))))
(* -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))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(/ 1/2 b)
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(+ (* c (- (/ (* (pow a 2) c) (pow b 5)) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))) (* -1 (/ (pow a 2) (pow b 5))))) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 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)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b 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))))))
(* 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)))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* a (pow (sqrt -4) 2)))))) c)
(* (sqrt (* a c)) (sqrt -4))
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(* -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 (/ c a)) (sqrt -1))
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(* -2 c)
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(* -1 (/ c b))
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(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(/ b c)
(/ b c)
(/ b c)
(/ b c)
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* (sqrt (/ c a)) (sqrt -1))
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(* -2 c)
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* -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))))
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(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
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(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
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(* (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)))))))
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(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
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(* (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)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -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)
(* -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)))))))
(* -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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(/ 1/2 b)
(/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)
(/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)
(/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) 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 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* -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))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -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 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))))))))
(* -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))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* 1/2 (/ b (* a c)))
(* -1 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))))
(* -1 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 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -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))))))))
(* -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))))))))
(* -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))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(/ 1/2 b)
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 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)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 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)))
(* 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))))))
(* 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)))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 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))))))
(* -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 (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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))))))
(* -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))))))))
(* -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))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -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)
Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(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 (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c (*.f64 #s(literal 2 binary64) b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(* -2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* 1/2 (/ b a))
(*.f64 (/.f64 b a) #s(literal 1/2 binary64))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
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(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal -2 binary64))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))))
(* -4 (* a c))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))))) a)
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) a) #s(literal -2 binary64) (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) a)))) a)
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (*.f64 (*.f64 (*.f64 a a) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)) #s(literal -1/32 binary64))) a) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) #s(literal 2 binary64))) a)) a)))) a)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -2 c)
(*.f64 #s(literal -2 binary64) c)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/4 binary64)))) a)
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 1/4 binary64))) a))) a)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal -1/16 binary64))) (fma.f64 (/.f64 #s(literal -1/32 binary64) c) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) c) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) #s(literal 1/16 binary64)))) a) #s(literal -1 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 1/4 binary64)))) a))) a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal -2 binary64))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))))
(* -4 (* a c))
(*.f64 (*.f64 #s(literal -4 binary64) c) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))

rewrite158.0ms (1.9%)

Memory
-19.4MiB live, 214.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055305
082295
1317289
22681289
08565289
Stop Event
iter limit
node limit
iter limit
Counts
21 → 812
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
#s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64)))
(*.f64 c #s(literal -2 binary64))
(+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)
(/.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 b c)))
(/.f64 b c)
(+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
#s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
#s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64)))
(pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))
(fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))
(*.f64 a (/.f64 c b))
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eval243.0ms (2.9%)

Memory
11.4MiB live, 471.7MiB allocated
Compiler

Compiled 51 451 to 4 498 computations (91.3% saved)

prune102.0ms (1.2%)

Memory
20.4MiB live, 195.5MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New1 778131 791
Fresh4610
Picked325
Done022
Total1 785231 808
Accuracy
100.0%
Counts
1 808 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.2%
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
19.6%
(/.f64 (*.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))
94.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
99.7%
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b))
99.6%
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) b))
99.8%
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
99.9%
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
99.8%
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* -4 c) a)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) b))
94.9%
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
94.9%
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #s(approx (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c))))
90.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) a))
94.7%
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
99.1%
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c))))
99.1%
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.5%
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
95.6%
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))))
90.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
94.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
90.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
90.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
90.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
90.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
Compiler

Compiled 2 516 to 732 computations (70.9% saved)

regimes121.0ms (1.4%)

Memory
-21.2MiB live, 169.4MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #s(approx (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (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 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -1/2 binary64) b)) 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))
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c))))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 #s(approx (+ (* b b) (* (* -4 c) a)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a) #s(literal 1/2 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 (*.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a))
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) (/.f64 c b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) b))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (-.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))) (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 a (*.f64 b b))) c #s(literal -1 binary64)) c)) b))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (fma.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (/.f64 (fma.f64 (fma.f64 (neg.f64 c) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal -1/2 binary64) b)) c)))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c))) b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (/.f64 (fma.f64 (fma.f64 (neg.f64 c) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c)) a))
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(approx (pow (/ (* 2 a) (- (+ (* b b) (* (* -4 c) a)) (* b b))) -1) (*.f64 c #s(literal -2 binary64))) (exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(approx (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 c c) a (*.f64 (*.f64 b b) c))) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)) b))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #s(literal -1/2 binary64)) #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 #s(approx (+ (* (* -5 (pow a 3)) c) (* (* (* a a) -2) (* b b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal -5 binary64) (*.f64 (*.f64 b b) #s(literal -2 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b)))) (*.f64 #s(literal 2 binary64) a))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (- (/ (* (* (* (pow c 3) a) a) -2) (pow b 4)) (+ (* (/ c b) (/ (* c a) b)) c)) b) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a)) (*.f64 a a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 #s(approx (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 c c) (*.f64 (neg.f64 (fma.f64 c a (*.f64 b b))) (*.f64 b b))) (*.f64 b b) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -5 binary64)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) c (*.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b) (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))))) #s(literal -1 binary64)) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (+ (* (+ (* (+ (* (/ -1/4 a) (* (/ (* (pow a 4) 20) (pow b 6)) (/ c b))) (/ (* (* a -2) a) (pow b 5))) c) (/ (neg a) (pow b 3))) c) (/ -1 b)) c) (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 c c) a (*.f64 (*.f64 b b) c))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)) (*.f64 #s(literal 2 binary64) a))
Outputs
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
Calls

4 calls:

24.0ms
a
22.0ms
b
22.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
20.0ms
c
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes21.0ms (0.3%)

Memory
-4.2MiB live, 43.9MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #s(approx (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) a) (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 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
Outputs
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #s(approx (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))))
Calls

4 calls:

7.0ms
a
5.0ms
b
5.0ms
c
4.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Results
AccuracySegmentsBranch
94.9%1a
94.9%1b
94.9%1c
94.9%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes12.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
Outputs
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
Calls

4 calls:

3.0ms
c
3.0ms
b
3.0ms
a
3.0ms
(/.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
94.9%1b
94.9%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))
94.9%1a
94.9%1c
Compiler

Compiled 20 to 23 computations (-15% saved)

regimes37.0ms (0.4%)

Memory
-20.5MiB live, 18.5MiB allocated
Accuracy

Total -0.5b remaining (-8.9%)

Threshold costs -0.5b (-8.9%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (pow (- (sqrt (+ (* (* -4 c) a) (* b b))) b) -1) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -1/2 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Calls

4 calls:

29.0ms
a
3.0ms
c
3.0ms
b
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
90.6%1c
90.6%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
90.6%1a
90.6%1b
Compiler

Compiled 20 to 23 computations (-15% saved)

simplify46.0ms (0.5%)

Memory
21.9MiB live, 61.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046143
189142
2167124
3361118
4881118
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #s(approx (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
Outputs
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -4 binary64) c) a))) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) #s(approx (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) #s(approx (+ (sqrt (+ (* b b) (* (* -4 c) a))) b) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b))))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 c #s(literal -2 binary64))) (+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
(/.f64 #s(approx (* (- (+ (* b b) (* (* -4 c) a)) (* b b)) (/ 1/2 a)) (*.f64 #s(literal -2 binary64) c)) (+.f64 #s(approx (sqrt (+ (* b b) (* (* -4 c) a))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))

soundness599.0ms (7.2%)

Memory
-16.2MiB live, 583.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116213759
1387613235
0812112747
01451
02351
17649
253648
3689248
0818644
073403
0124403
1474383
23848381
08253381
0127412604
1425112187
0809211804
05453273
117383232
261083204
083743047
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 183 to 133 computations (27.3% saved)

preprocess32.0ms (0.4%)

Memory
13.0MiB live, 91.4MiB allocated
Compiler

Compiled 140 to 82 computations (41.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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