Cubic critical, narrow range

Time bar (total: 12.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze321.0ms (2.5%)

Memory
-18.8MiB live, 420.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
2.3%0%0%100%0%0%0%8
11.3%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
28%0%0%100%0%0%0%11
40.1%0%0%100%0%0%0%12
Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.3s (18%)

Memory
79.5MiB live, 3 163.5MiB allocated
Samples
799.0ms5 526×0valid
702.0ms2 730×1valid
189.0ms1 236×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 299.0ms (22.5% of total)
ival-mult: 272.0ms (20.5% of total)
ival-<: 154.0ms (11.6% of total)
ival-sqrt: 111.0ms (8.4% of total)
ival-div: 106.0ms (8% of total)
ival-add: 103.0ms (7.8% of total)
ival-sub: 97.0ms (7.3% of total)
adjust: 96.0ms (7.2% of total)
ival-neg: 45.0ms (3.4% of total)
ival-and: 35.0ms (2.6% of total)
exact: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain167.0ms (1.3%)

Memory
24.7MiB live, 325.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2253(87.6787751317458 0.01991850346960614 1.2748413717882749e-8)2(2.4566958487195746e-8 1.7805865230999171e-6 9.045069089112594e-7)(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
20-1(18.98004307796442 0.0011646806813771073 2.2892716820131817e-8)(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-a
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-(*.f64 b b)
00-0-c
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
00-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
00-0-(neg.f64 b)
00-0-b
00-0-(*.f64 #s(literal 3 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 3 binary64) a) c))))cancellation2267
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))cancellation10
Confusion
Predicted +Predicted -
+2232
-427
Precision
0.9823788546255506
Recall
0.9911111111111112
Confusion?
Predicted +Predicted MaybePredicted -
+22320
-4522
Precision?
0.9615384615384616
Recall?
1.0
Freqs
test
numberfreq
029
1227
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms174×1valid
30.0ms338×0valid
Compiler

Compiled 156 to 40 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 10.0ms (25.3% of total)
ival-add: 8.0ms (20.3% of total)
ival-div: 5.0ms (12.7% of total)
ival-sqrt: 5.0ms (12.7% of total)
ival-neg: 5.0ms (12.7% of total)
adjust: 3.0ms (7.6% of total)
ival-sub: 3.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess114.0ms (0.9%)

Memory
10.7MiB live, 88.5MiB allocated
Algorithm
egg-herbie
Rules
1 562×div-sub
1 088×lower-fma.f64
1 088×lower-fma.f32
996×sub-neg
712×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049158
1152144
2433144
31173144
43171144
56061144
01217
02017
13616
27316
315616
423616
537416
665016
7110316
8224116
9251016
10262116
11267616
12267716
13267716
0267715
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 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
Compiler

Compiled 20 to 12 computations (40% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

simplify65.0ms (0.5%)

Memory
-1.6MiB live, 37.5MiB 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 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Rules
1 088×lower-fma.f64
1 088×lower-fma.f32
712×lower-*.f32
706×lower-*.f64
430×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
02066
13664
27364
315664
423664
537464
665064
7110364
8224164
9251064
10262164
11267664
12267764
13267764
0267760
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 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
a
c

localize58.0ms (0.5%)

Memory
-29.1MiB live, 99.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2969352150483855
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy0.30078125
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
accuracy0.3671875
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
accuracy28.488050620108893
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Samples
26.0ms169×0valid
13.0ms87×1valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (29.4% of total)
ival-add: 3.0ms (17.6% of total)
ival-div: 2.0ms (11.8% of total)
ival-sub: 2.0ms (11.8% of total)
ival-sqrt: 2.0ms (11.8% of total)
adjust: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
7.9MiB live, 46.2MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())
Outputs
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (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 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (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 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (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 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
8.0ms
a
@0
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
3.0ms
b
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
3.0ms
c
@inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
c
@0
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))
2.0ms
c
@-inf
((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c))

simplify158.0ms (1.2%)

Memory
24.7MiB live, 258.5MiB allocated
Algorithm
egg-herbie
Rules
11 360×lower-fma.f64
11 360×lower-fma.f32
6 828×lower-*.f64
6 828×lower-*.f32
3 678×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04702458
114452441
248902418
080562302
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
Outputs
(* -3/2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (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 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)))) c)
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* c (- (/ (pow b 2) c) (* 3 a)))
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(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) a)
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a)
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* a (- (/ (pow b 2) a) (* 3 c)))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* a (- (/ (pow b 2) a) (* 3 c)))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* a (- (/ (pow b 2) a) (* 3 c)))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) a)))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a)))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a)))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))

rewrite193.0ms (1.5%)

Memory
8.7MiB live, 202.9MiB allocated
Rules
4 876×lower-fma.f64
4 876×lower-fma.f32
3 870×lower-*.f32
3 864×lower-*.f64
2 328×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
02046
17144
252543
3683643
0812540
Stop Event
iter limit
node limit
iter limit
Counts
5 → 410
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
Outputs
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (fma.f64 (*.f64 (*.f64 b b) b) b (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))))
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64)))
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))
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(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (neg.f64 a))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))))
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (/.f64 #s(literal 1/3 binary64) a)))
(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64)))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a)))
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 #s(literal 1 binary64) b)
(*.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b))
(*.f64 b #s(literal -1 binary64))
(*.f64 b #s(literal 1 binary64))
(pow.f64 b #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)))
(/.f64 (*.f64 (*.f64 b b) b) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))
(/.f64 (*.f64 b b) b)
(neg.f64 b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(+.f64 b #s(literal 0 binary64))
b
(*.f64 (*.f64 c #s(literal 3 binary64)) a)
(*.f64 (*.f64 c a) #s(literal 3 binary64))
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(*.f64 (*.f64 a #s(literal 3 binary64)) c)
(*.f64 a (*.f64 c #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 c a))

eval120.0ms (0.9%)

Memory
-7.5MiB live, 159.7MiB allocated
Compiler

Compiled 20 413 to 1 847 computations (91% saved)

prune55.0ms (0.4%)

Memory
-14.9MiB live, 105.7MiB allocated
Pruning

40 alts after pruning (40 fresh and 0 done)

PrunedKeptTotal
New51440554
Fresh000
Picked101
Done000
Total51540555
Accuracy
98.9%
Counts
555 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
54.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
54.1%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
54.4%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
55.3%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
55.3%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
55.3%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
55.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
55.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
80.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
89.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
89.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
86.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
86.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
80.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
80.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
64.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
55.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
55.3%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
54.4%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
55.3%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
55.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
55.3%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
54.8%
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
86.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
80.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
80.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
86.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
89.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
86.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
80.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
64.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
11.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
Compiler

Compiled 2 570 to 1 402 computations (45.4% saved)

simplify135.0ms (1.1%)

Memory
2.2MiB live, 152.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
cost-diff320
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))
cost-diff960
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
cost-diff0
(/.f64 #s(literal 1/3 binary64) a)
cost-diff1088
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
cost-diff320
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)))
cost-diff320
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
cost-diff704
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
Rules
5 464×lower-fma.f32
5 452×lower-fma.f64
3 898×lower-*.f32
3 862×lower-*.f64
3 846×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070638
0119638
1217618
2526594
31493577
42716571
54557571
66462571
08041560
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)))
(*.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
a
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 #s(literal 405/64 binary64) b)
#s(literal 405/64 binary64)
(*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))
(*.f64 c c)
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -9/16 binary64)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
#s(literal 1/3 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
b
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
a
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)))
(*.f64 #s(literal -9/16 binary64) (*.f64 a a))
#s(literal -9/16 binary64)
(*.f64 a a)
a
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64))))
(*.f64 c c)
c
(/.f64 c (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -3/8 binary64) a)
#s(literal -3/8 binary64)
(*.f64 c (/.f64 c (*.f64 b b)))
(/.f64 c (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) a)) (pow.f64 b #s(literal 7 binary64)))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) a)) (pow.f64 b #s(literal 7 binary64)))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -9/16 binary64) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) a (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)))
(fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 c #s(literal 4 binary64)) a)) (pow.f64 b #s(literal 7 binary64))))
(*.f64 #s(literal -1/6 binary64) a)
#s(literal -1/6 binary64)
a
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
(/.f64 #s(literal 405/64 binary64) b)
#s(literal 405/64 binary64)
(*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) c) c)
(*.f64 c c)
(/.f64 c (pow.f64 b #s(literal 5 binary64)))
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -9/16 binary64)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/8 binary64) c))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (*.f64 c c))
#s(literal -3/8 binary64)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a) #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
b
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a) #s(literal -1/3 binary64))
(/.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
a
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 (fma.f64 c (*.f64 a (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)))) #s(literal -1/2 binary64)) b)))
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)
(*.f64 c (/.f64 (fma.f64 c (*.f64 a (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)))) #s(literal -1/2 binary64)) b))
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)))
(*.f64 c (fma.f64 c (*.f64 a (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -9/16 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal -9/16 binary64))
#s(literal -9/16 binary64)
(*.f64 a a)
a
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) c) c)
(*.f64 c c)
c
(/.f64 c (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)
(*.f64 #s(literal -3/8 binary64) a)
#s(literal -3/8 binary64)
(*.f64 c (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) c)
(/.f64 c (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

localize251.0ms (2%)

Memory
29.1MiB live, 418.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(/.f64 c (*.f64 b b))
accuracy0.28125
(/.f64 c (pow.f64 b #s(literal 4 binary64)))
accuracy0.33041000976844204
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64))))
accuracy8.404981310596071
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
accuracy0.2990263546304033
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.3125
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
accuracy0.3125
(/.f64 #s(literal 1/3 binary64) a)
accuracy28.488050620108893
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
accuracy0.2990263546304033
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.34212875976844204
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
accuracy0.37109375
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
accuracy28.488050620108893
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0
(/.f64 c b)
accuracy0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy22.802641224787944
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy0.34375
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))
accuracy0.34765625
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
accuracy0.37337875976844204
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
accuracy6.324362195366132
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Samples
115.0ms171×0valid
78.0ms85×1valid
Compiler

Compiled 576 to 74 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 42.0ms (32.6% of total)
ival-div: 36.0ms (27.9% of total)
ival-pow: 13.0ms (10.1% of total)
ival-add: 10.0ms (7.8% of total)
adjust: 8.0ms (6.2% of total)
const: 7.0ms (5.4% of total)
ival-sub: 5.0ms (3.9% of total)
ival-sqrt: 5.0ms (3.9% 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)

series187.0ms (1.5%)

Memory
-7.3MiB live, 221.8MiB allocated
Counts
25 → 756
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b) (patch (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (patch (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 c (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 c (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
38.0ms
a
@inf
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) (/ c (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (* c c) (/ c (pow b 4))) (/ c (pow b 4)) (/ c (* b b)))
32.0ms
b
@0
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) (/ c (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (* c c) (/ c (pow b 4))) (/ c (pow b 4)) (/ c (* b b)))
21.0ms
c
@0
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) (/ c (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (* c c) (/ c (pow b 4))) (/ c (pow b 4)) (/ c (* b b)))
10.0ms
c
@inf
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) (/ c (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (* c c) (/ c (pow b 4))) (/ c (pow b 4)) (/ c (* b b)))
10.0ms
c
@-inf
((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) (/ c (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (* c c) (/ c (pow b 4))) (/ c (pow b 4)) (/ c (* b b)))

simplify567.0ms (4.5%)

Memory
-297.3MiB live, 345.7MiB allocated
Algorithm
egg-herbie
Rules
7 986×lower-*.f64
7 986×lower-*.f32
6 510×lower-fma.f64
6 510×lower-fma.f32
4 670×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128614714
1419714540
0868913943
Stop Event
iter limit
node limit
Counts
756 → 756
Calls
Call 1
Inputs
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2))
(* -1/2 c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ (pow c 3) (pow b 4))
(/ c (pow b 4))
(/ c (pow b 4))
(/ c (pow b 4))
(/ c (pow b 4))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2)))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (/ 1/2 (pow c 2))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))))
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(* -1/2 (/ c b))
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(/ c b)
(/ c b)
(/ c b)
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(* -2/3 b)
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(* 2 b)
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(* -3/8 (/ (pow c 2) (pow b 3)))
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(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(/ (pow c 3) (pow b 5))
(pow b 2)
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(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
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(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
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(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
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(* -1/2 c)
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(pow b 2)
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(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
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(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (+ (* -1/2 (/ c (pow a 2))) (* -3/8 (/ (pow c 2) (* a (pow b 2)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
Outputs
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c))
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c))
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5)))))
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
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(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a)))
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5)))
(*.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 a (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (neg.f64 a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (neg.f64 a))) (*.f64 a a))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a))))

rewrite315.0ms (2.5%)

Memory
24.3MiB live, 418.6MiB allocated
Rules
6 204×lower-*.f32
6 168×lower-*.f64
5 176×lower-fma.f32
5 164×lower-fma.f64
3 406×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070429
0119423
1444389
23444381
09566381
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 010
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) a)
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 #s(literal 1/3 binary64) a)
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)))
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64))))
(/.f64 c (pow.f64 b #s(literal 4 binary64)))
(/.f64 c (*.f64 b b))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 b b) b)) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 b b) b)))
(*.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))
(*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))
(*.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b))
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b)))
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 b #s(literal 64/405 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 b #s(literal 64/405 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))
(/.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 b))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal -405/64 binary64)) (neg.f64 b))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b #s(literal 64/405 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))
(/.f64 (*.f64 #s(literal -405/64 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))
(/.f64 (*.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))
(/.f64 (*.f64 #s(literal 405/64 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b #s(literal 64/405 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (neg.f64 b)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b #s(literal 64/405 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))
(/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) b)
(/.f64 #s(literal -405/64 binary64) (*.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))))
(/.f64 #s(literal -405/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (neg.f64 b)))
(/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 b #s(literal 64/405 binary64))))
(/.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))
(/.f64 #s(literal 405/64 binary64) (*.f64 b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))))
(/.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) b))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 b #s(literal 64/405 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c c)) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (fma.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c c)) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) a))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))
(/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)))
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(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 #s(literal -3 binary64) c) a))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (/.f64 (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
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(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 b b))
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(*.f64 (*.f64 (*.f64 c c) c) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)))
(*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) c) c)
(*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 c c))
(*.f64 (*.f64 c c) (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)))
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 c c)))
(*.f64 c (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) c))
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 c c) c)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 b b)) (*.f64 b b))
(/.f64 (*.f64 (neg.f64 c) (*.f64 c c)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) c))
(/.f64 (*.f64 (*.f64 c c) (neg.f64 c)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)))
(/.f64 (*.f64 (*.f64 c c) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) c))
(/.f64 (neg.f64 (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 c c) c)))
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(neg.f64 (/.f64 c (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c b))
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(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(pow.f64 (*.f64 (/.f64 b c) b) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b (/.f64 b c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 c b)) #s(literal -1 binary64))
(pow.f64 (*.f64 b (/.f64 b c)) #s(literal -1 binary64))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b))
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 b c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 b c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b c)))
(/.f64 (/.f64 c b) b)
(/.f64 c (*.f64 b b))
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b b)))
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b)))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b c))) #s(literal -1 binary64)))

eval430.0ms (3.4%)

Memory
22.8MiB live, 444.6MiB allocated
Compiler

Compiled 109 765 to 5 107 computations (95.3% saved)

prune212.0ms (1.7%)

Memory
-18.6MiB live, 297.5MiB allocated
Pruning

69 alts after pruning (67 fresh and 2 done)

PrunedKeptTotal
New1 893471 940
Fresh152035
Picked325
Done000
Total1 911691 980
Accuracy
99.3%
Counts
1 980 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
55.2%
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
54.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
54.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
54.1%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
54.4%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
56.5%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))
55.3%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
56.5%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
90.1%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
90.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)))
87.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)))
87.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
81.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)))
81.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)))
81.3%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
90.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) c) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (*.f64 a a) (*.f64 c c))) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) b)))
56.5%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
55.3%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
55.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
55.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (*.f64 #s(literal 3 binary64) a))
56.5%
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
56.2%
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
55.3%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
55.3%
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
80.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
89.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
89.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
64.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
55.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
55.3%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
54.4%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
54.4%
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
55.3%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
55.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
54.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
55.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) (neg.f64 b))))
55.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (neg.f64 b))))
55.2%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b))))
55.2%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))))
55.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (+.f64 #s(literal 0 binary64) b)))))
55.7%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) b)))))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))
55.9%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))))
55.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
55.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
89.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) 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 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)))
64.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
55.3%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
55.2%
(*.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
80.9%
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
80.9%
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
89.8%
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b 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 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
80.8%
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
11.7%
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
89.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c))))
89.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
86.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 b b)) #s(literal -9/16 binary64) (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
86.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) c)))) b))
80.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
86.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) c) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c))))))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
64.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 4 921 to 2 590 computations (47.4% saved)

simplify159.0ms (1.3%)

Memory
-10.1MiB live, 244.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) a)
cost-diff192
(+.f64 #s(literal 0 binary64) b)
cost-diff320
(fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))))
cost-diff0
(*.f64 b b)
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
cost-diff192
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
cost-diff896
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
cost-diff384
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
cost-diff0
(/.f64 #s(literal -1/2 binary64) b)
cost-diff0
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
cost-diff384
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))
cost-diff384
(/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b))
cost-diff384
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
cost-diff640
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))))
Rules
11 408×lower-fma.f32
11 392×lower-fma.f64
5 878×lower-*.f32
5 838×lower-*.f64
2 272×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931171
01571151
12981109
28691076
335431038
081011023
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
(/.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
a
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)
(fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)))
(neg.f64 c)
c
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))))
(/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b))
(*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a)
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))
(/.f64 a (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
b
#s(literal -3/8 binary64)
#s(literal -3/4 binary64)
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))
(*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)))
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 405/64 binary64)
(*.f64 a a)
#s(literal -2/9 binary64)
(/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 #s(literal 9/16 binary64) (*.f64 a a))
#s(literal 9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 b a)
#s(literal -2/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))
#s(literal 1/3 binary64)
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))
(fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
c
(*.f64 b b)
(*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(+.f64 #s(literal 0 binary64) b)
#s(literal 0 binary64)
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))
Outputs
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a))))) b (*.f64 #s(literal -9/16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) c)) a))
(/.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
a
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a))))) b (*.f64 #s(literal -9/16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) c))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a))))) b (*.f64 #s(literal -9/16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) c)
(fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a))))) b (*.f64 #s(literal -9/16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a))))) b (*.f64 #s(literal -9/16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64)))) c (/.f64 #s(literal 1/2 binary64) b))
(fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)))
(fma.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a))))) b (*.f64 #s(literal -9/16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) (*.f64 #s(literal 3/4 binary64) c) #s(literal 3/8 binary64))))
(neg.f64 c)
c
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))))
(fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a #s(literal 9/32 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))))
(/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b))
(/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) a) (*.f64 b (*.f64 (*.f64 (*.f64 b b) b) b)))
(*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a)
(*.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) a)
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))
(/.f64 a (*.f64 (*.f64 b b) b))
(*.f64 (*.f64 b b) b)
(*.f64 b b)
b
#s(literal -3/8 binary64)
#s(literal -3/4 binary64)
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (*.f64 #s(literal -45/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a)))
(*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)))
(*.f64 (*.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a))))
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a))))
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 405/64 binary64)
(*.f64 a a)
#s(literal -2/9 binary64)
(/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a))
(*.f64 #s(literal 9/16 binary64) (*.f64 a a))
#s(literal 9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))
#s(literal 3/8 binary64)
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
#s(literal -2/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
c
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 b b)
b
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
a
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal -3 binary64)) a)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))))
(/.f64 (*.f64 (*.f64 b #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 (*.f64 a b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 b #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b))
#s(literal 1/3 binary64)
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))
(*.f64 b (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b)))
(fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(*.f64 b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
c
(*.f64 b b)
(*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)
(+.f64 #s(literal 0 binary64) b)
b
#s(literal 0 binary64)
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b)

localize321.0ms (2.5%)

Memory
40.2MiB live, 423.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.36328125
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))
accuracy0.37109375
(*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))
accuracy0.3756637695368841
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
accuracy28.40396030351622
(fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
accuracy0.2990263546304033
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.3671875
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
accuracy0.42025375976844204
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
accuracy27.979045517317513
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
accuracy0.26171875
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
accuracy0.2890625
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
accuracy0.2990263546304033
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy28.488050620108893
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0
(/.f64 #s(literal -1/2 binary64) b)
accuracy0.24609375
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
accuracy22.802641224787944
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
accuracy0.35546875
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))
accuracy0.4609375
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))))
accuracy0.6238251953688405
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))
accuracy6.012448181256341
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))
Samples
127.0ms171×0valid
109.0ms85×1valid
Compiler

Compiled 1 090 to 93 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 71.0ms (38.6% of total)
ival-div: 37.0ms (20.1% of total)
ival-sqrt: 17.0ms (9.2% of total)
ival-add: 14.0ms (7.6% of total)
const: 12.0ms (6.5% of total)
adjust: 10.0ms (5.4% of total)
ival-pow: 10.0ms (5.4% of total)
ival-sub: 8.0ms (4.4% of total)
ival-neg: 3.0ms (1.6% of total)
exact: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series275.0ms (2.2%)

Memory
-8.3MiB live, 348.8MiB allocated
Counts
25 → 744
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())
#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) b) (patch (+.f64 #s(literal 0 binary64) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) (patch #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))) (patch (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (patch (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (patch (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (patch (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))))) a)) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (patch (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
54.0ms
c
@inf
((+ (* (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5)))) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (* b b) (* (/ 1 a) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))) (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (+ 0 b) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b)))))) (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))
29.0ms
c
@-inf
((+ (* (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5)))) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (* b b) (* (/ 1 a) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))) (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (+ 0 b) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b)))))) (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))
18.0ms
b
@-inf
((+ (* (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5)))) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (* b b) (* (/ 1 a) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))) (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (+ 0 b) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b)))))) (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))
16.0ms
b
@inf
((+ (* (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5)))) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (* b b) (* (/ 1 a) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))) (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (+ 0 b) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b)))))) (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))
14.0ms
a
@-inf
((+ (* (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5)))) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (* b b) (* (/ 1 a) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))) (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (+ 0 b) (/ 1 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5))) (+ (* (* -3 c) a) (* b b)) (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))) (* 1/3 (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b)))))) (/ (+ (* (* (neg b) b) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 b) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 b) (sqrt (+ (* (* 3 a) c) (* b b))))))

simplify415.0ms (3.3%)

Memory
8.0MiB live, 399.5MiB allocated
Algorithm
egg-herbie
Rules
7 446×lower-*.f64
7 446×lower-*.f32
5 560×lower-+.f64
5 560×lower-+.f32
5 510×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279227894
0829926619
Stop Event
iter limit
node limit
Counts
744 → 729
Calls
Call 1
Inputs
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -6 (* a b))
(+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b)))
(+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b)))))
(+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5))))))))
(* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (* a (pow b 2))))
(+ (* 1/3 (* c (- (+ (* -3/2 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 4))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 3))))) (* 3/2 (/ 1 b))))) (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (* a (pow b 2)))))
(+ (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (* a (pow b 2)))) (* c (+ (* 1/3 (* c (+ (* -3/2 (/ (* a (- (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 2)))) 3/2)) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3))) a)) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (* a (pow b 3)))) (* 9/8 (/ a (pow b 3)))))))) (* 1/3 (- (+ (* -3/2 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 4))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 3))))) (* 3/2 (/ 1 b)))))))
(+ (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (* a (pow b 2)))) (* c (+ (* 1/3 (- (+ (* -3/2 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 4))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 3))))) (* 3/2 (/ 1 b)))) (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (* a (pow b 2)))) (* 9/8 (/ a (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 2)))) 3/2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow b 3)) (pow b 3)) (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))) a)) (* -1/4 (/ (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (* a (pow b 7)))))))))) (* 1/3 (+ (* -3/2 (/ (* a (- (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 2)))) 3/2)) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3))) a)) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (* a (pow b 3)))) (* 9/8 (/ a (pow b 3))))))))))))
(+ (* -1 (pow b 3)) (pow b 3))
(+ (* -1 (pow b 3)) (+ (* c (+ (* -3/2 (* a b)) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) b)))) (pow b 3)))
(+ (* -1 (pow b 3)) (+ (* c (+ (* -3/2 (* a b)) (+ (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) b)) (* c (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) b)) (* 9/8 (/ (pow a 2) b))))))) (pow b 3)))
(+ (* -1 (pow b 3)) (+ (* c (+ (* -3/2 (* a b)) (+ (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) b)) (* c (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) b)) (+ (* 9/8 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (pow a 3) (pow b 3))) (* -1/4 (/ (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (pow b 5))))))))))) (pow b 3)))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 4)
(+ (* c (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (pow b 4))
(+ (* c (+ (* -9 (* (pow a 2) c)) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (pow b 4))
(+ (* c (+ (* -9 (* (pow a 2) c)) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (pow b 4))
(* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2)))
(+ (* 1/3 (* c (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3))))))) (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))))
(+ (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))) (* c (+ (* 1/3 (* c (+ (* -3/2 (/ (* a (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3)))) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow a 2) (pow b 3)))))))) (* 1/3 (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3)))))))))
(+ (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))) (* c (+ (* 1/3 (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3)))))) (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 2))) (* 9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))))) (+ (* -1/2 (* (+ (* -1 (pow b 3)) (pow b 3)) (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* -1/4 (/ (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (pow b 7))))))))) (* 1/3 (+ (* -3/2 (/ (* a (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3)))) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow a 2) (pow b 3))))))))))))
(/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))
(+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3))))))))
(+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (+ (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3))) (* c (+ (* -3/2 (/ (* a (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3)))) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow a 2) (pow b 3)))))))))))))
(+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (+ (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3))) (* c (+ (* -3/2 (/ (* a (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3)))) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 3))) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 2))) (* 9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))))) (+ (* -1/2 (* (+ (* -1 (pow b 3)) (pow b 3)) (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* -1/4 (/ (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (pow b 7)))))))))))))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* -3 (/ (* a b) c))))
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))))))
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))))
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b)))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b)))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* (pow a 2) (sqrt -9)))))))) (pow c 2))))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b))) (+ (* 1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 9) c))) (/ (* (sqrt 1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* (sqrt -9) (sqrt 1/3))))) (* 1/54 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))))) (pow c 3))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* (pow a 2) (sqrt -9)))))))) (pow c 2)))))))
(* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9)))))
(* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (+ (* 1/2 (/ (* b (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (* a (* b (sqrt -9))))))
(* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (+ (* 1/2 (/ (* b (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* b (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))))))
(* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (+ (* -1/4 (/ (* b (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (* b (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* b (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -9 (* (pow a 2) (pow c 2)))
(* (pow c 2) (+ (* -9 (pow a 2)) (+ (* -3 (/ (* a (pow b 2)) c)) (* 3 (/ (* a (pow b 2)) c)))))
(* (pow c 2) (+ (* -9 (pow a 2)) (+ (* -3 (/ (* a (pow b 2)) c)) (+ (* 3 (/ (* a (pow b 2)) c)) (/ (pow b 4) (pow c 2))))))
(* (pow c 2) (+ (* -9 (pow a 2)) (+ (* -3 (/ (* a (pow b 2)) c)) (+ (* 3 (/ (* a (pow b 2)) c)) (/ (pow b 4) (pow c 2))))))
(* 1/3 (* (sqrt (/ c a)) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b)))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b)))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9)))))))) (pow c 2))))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b))) (+ (* 1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (sqrt 1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* (sqrt -9) (sqrt 1/3))))) (* 1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))))) (pow c 3))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9)))))))) (pow c 2)))))))
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b))))
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9)))))))))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (sqrt 1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (pow (sqrt -9) 3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))) (+ (* -1/36 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* (sqrt -9) (sqrt 1/3))))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))) (* a (* b (sqrt -9))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9))))))))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ (* a b) c)))))
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)))))
(* -1 (* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 (* a b)) (* -1 (/ (+ (* -3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)))))
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b)))
(* -1 (* c (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* (pow a 2) (sqrt -9))))))))) c)) (* 1/6 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 9) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))))) c)) (* 1/3 (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* (pow a 2) (sqrt -9))))))))))) c)) (* 1/6 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (+ (* -1/2 (/ (* b (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (* a (* b (sqrt -9)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (* b (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (sqrt -9))))) c)) (* 1/2 (/ (* b (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (sqrt -9))))) c)) (* a (* b (sqrt -9)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (+ (* 1/4 (/ (* b (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (* (pow a 3) (* c (pow (sqrt -9) 3))))) (* 1/2 (/ (* b (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (sqrt -9)))))) c)) (* 1/2 (/ (* b (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (sqrt -9))))) c)) (* a (* b (sqrt -9)))))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (/ b (* a (pow (sqrt 3) 2)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -9 (* (pow a 2) (pow c 2)))
(* (pow c 2) (+ (* -9 (pow a 2)) (* -1 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) c))))
(* (pow c 2) (+ (* -9 (pow a 2)) (* -1 (/ (+ (* -3 (* a (pow b 2))) (+ (* -1 (/ (pow b 4) c)) (* 3 (* a (pow b 2))))) c))))
(* (pow c 2) (+ (* -9 (pow a 2)) (* -1 (/ (+ (* -3 (* a (pow b 2))) (+ (* -1 (/ (pow b 4) c)) (* 3 (* a (pow b 2))))) c))))
(* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b)))
(* -1 (* c (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9))))))))) c)) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))))) c)) (* 1/3 (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9))))))))))) c)) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b))))))
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b)))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9))))))))) c)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))))) c)) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9)))))))))) c)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* a (* b (sqrt -9)))))) b)))))
(/ (+ (* -45/32 (pow a 2)) (+ (* 9/32 (pow a 2)) (* 9/16 (pow a 2)))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (+ (* 9/32 (pow a 2)) (* 9/16 (pow a 2)))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (+ (* 9/32 (pow a 2)) (* 9/16 (pow a 2)))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (+ (* 9/32 (pow a 2)) (* 9/16 (pow a 2)))) (pow b 5))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(+ (* -3 (* a b)) (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))))
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* -3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))))))
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* b (+ (* -3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))))
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* 1/3 (* b (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9))))))))))
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3)))))))) (* 1/3 (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9)))))))))))
(* a (* b (* c (sqrt -9))))
(* b (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9)))))
(* b (+ (* a (* c (sqrt -9))) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt 3))) (* 1/2 (/ (* b (+ (* -3 (* a c)) (* 3 (* a c)))) (* a (* c (sqrt -9)))))))))
(* b (+ (* a (* c (sqrt -9))) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt 3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))) (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (* a (* c (sqrt -9)))))))))))
b
b
b
b
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 2)))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(/ (+ (* -45/32 (pow a 2)) (* 9/16 (pow a 2))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (* 9/16 (pow a 2))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (* 9/16 (pow a 2))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (* 9/16 (pow a 2))) (pow b 5))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -9 (* (pow a 2) (pow c 2)))
(+ (* -9 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -3 (* a c)) (* 3 (* a c)))))
(+ (* -9 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -3 (* a c)) (+ (* 3 (* a c)) (pow b 2)))))
(+ (* -9 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -3 (* a c)) (+ (* 3 (* a c)) (pow b 2)))))
(* 1/3 (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))))
(+ (* -1/3 (* b (* (sqrt 1/3) (sqrt 3)))) (* 1/3 (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))))
(+ (* 1/3 (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (* (sqrt 1/3) (sqrt 3))) (* 1/3 (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9))))))))))
(+ (* 1/3 (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3)))))))) (* 1/3 (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9)))))))))))
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))))
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9)))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))))
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3)))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))))
(/ (+ (* -45/32 (pow a 2)) (+ (* 9/32 (pow a 2)) (* 9/16 (pow a 2)))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (+ (* 9/32 (pow a 2)) (* 9/16 (pow a 2)))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (+ (* 9/32 (pow a 2)) (* 9/16 (pow a 2)))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (+ (* 9/32 (pow a 2)) (* 9/16 (pow a 2)))) (pow b 5))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* -6 (* a b))
(* b (+ (* -6 a) (* 9/2 (/ (* (pow a 2) c) (pow b 2)))))
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 9/2 (/ (* (pow a 2) c) (pow b 2))))))
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 9/2 (/ (* (pow a 2) c) (pow b 2))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) (* a b)))
(/ (+ (* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) a)) (* 1/3 (/ (+ (* -3/2 (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))) (pow b 2)))) b)
(/ (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) a)) (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) a))))) (pow b 4))) (+ (* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) a)) (* 1/3 (/ (+ (* -3/2 (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))) (pow b 2))))) b)
(/ (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) a)) (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) a))))) (pow b 4))) (+ (* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) a)) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* -27/16 (* (pow a 2) (pow c 3))) (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) a)))))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2)))))) (+ (* -1/2 (/ (* (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3))))) a)) (+ (* -1/2 (/ (+ (* -1/4 (* (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (* 1/4 (pow (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) 2))) a)) (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)))))) (pow b 6))) (* 1/3 (/ (+ (* -3/2 (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))) (pow b 2)))))) b)
(* b (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))
(* b (+ (* -3/2 (* a c)) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))
(* b (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 4))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))))
(* b (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -1/2 (/ (+ (* -1/4 (* (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (* 1/4 (pow (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) 2))) (pow b 6))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 4))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))))))
b
b
b
b
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))
(/ (+ (* -45/32 (pow a 2)) (* 9/16 (pow a 2))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (* 9/16 (pow a 2))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (* 9/16 (pow a 2))) (pow b 5))
(/ (+ (* -45/32 (pow a 2)) (* 9/16 (pow a 2))) (pow b 5))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 3 (/ (* a c) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -9 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (* 3 (/ (* a c) (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* -9 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (* 3 (/ (* a c) (pow b 2)))))))
(* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) b))
(/ (+ (* 1/3 (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))))) (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))) (pow b 2)))) b)
(/ (+ (* 1/3 (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (* -1/4 (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))))))) (pow b 4))) (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))))) (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))) (pow b 2))))) b)
(/ (+ (* 1/3 (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (* -1/4 (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))))))) (pow b 4))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -1/4 (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))))))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2)))))) (+ (* -1/2 (* (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (+ (* -1/2 (+ (* -1/4 (* (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (* 1/4 (pow (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) 2)))) (* 1/2 (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))))) (pow b 6))) (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))))) (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))) (pow b 2)))))) b)
(/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) b)
(/ (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (pow b 2))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (pow b 2))) (+ (* -3/2 (/ (* a (* c (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) (pow b 4))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 4))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))))))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -1/4 (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))))))) (pow b 6))) (+ (* -3/2 (/ (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (pow b 2))) (+ (* -3/2 (/ (* a (* c (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* -1/2 (/ (* (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1/4 (* (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (* 1/4 (pow (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) 2))) (pow b 6))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 4))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))))))))))) b)
(* -1 (/ (+ (* -9/16 (pow a 2)) (+ (* -9/32 (pow a 2)) (* 45/32 (pow a 2)))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 2)) (+ (* -9/32 (pow a 2)) (* 45/32 (pow a 2)))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 2)) (+ (* -9/32 (pow a 2)) (* 45/32 (pow a 2)))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 2)) (+ (* -9/32 (pow a 2)) (* 45/32 (pow a 2)))) (pow b 5)))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(/ -1/2 b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4))))))))
(* -9/2 (/ (* (pow a 2) c) b))
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 9/2 (* (pow a 2) c))) b))
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4)))))) b))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (+ (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3 c))) (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/3 (/ (+ (* -9 (* a (pow c 2))) (+ (* -3/2 (* a (* c (+ (* -3/2 c) (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)))))) (+ (* -1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (+ (* 9/8 (* a (pow c 2))) (* 9/4 (* a (pow c 2))))))) (pow b 4))) (+ (* -1/3 (/ (+ (* -3/2 c) (+ (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3 c))) (pow b 2))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -1/3 (/ (+ (* -9 (* a (pow c 2))) (+ (* -3/2 (* a (* c (+ (* -3/2 c) (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)))))) (+ (* -1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (+ (* 9/8 (* a (pow c 2))) (* 9/4 (* a (pow c 2))))))) (pow b 4))) (+ (* -1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* -1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 c) (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a))))) (+ (* 1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) a)) (+ (* 3/2 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 2) (pow c 3)))))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/2 c) (+ (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3 c))) (pow b 2))) (* 2/3 (/ 1 a)))))))
(* 2 (pow b 3))
(* -1 (* (pow b 3) (- (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2)))) 2)))
(* -1 (* (pow b 3) (- (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (+ (* -1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) 2)))
(* -1 (* (pow b 3) (- (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (+ (* -1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4))) (+ (* 1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 6))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) 2)))
b
b
b
b
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ (* -9/16 (pow a 2)) (* 45/32 (pow a 2))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 2)) (* 45/32 (pow a 2))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 2)) (* 45/32 (pow a 2))) (pow b 5)))
(* -1 (/ (+ (* -9/16 (pow a 2)) (* 45/32 (pow a 2))) (pow b 5)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 3 (/ (* a c) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -9 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (* 3 (/ (* a c) (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* -9 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (* 3 (/ (* a c) (pow b 2)))))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/3 (/ (+ (* -3/2 (* a c)) (+ (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3 (* a c)))) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/3 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* -3/2 (* a (* c (+ (* -3/2 (* a c)) (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))))) (+ (* -1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (+ (* 9/8 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (* -1/3 (/ (+ (* -3/2 (* a c)) (+ (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3 (* a c)))) (pow b 2)))))))
(* -1 (* b (+ 2/3 (+ (* -1/3 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* -3/2 (* a (* c (+ (* -3/2 (* a c)) (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))))) (+ (* -1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (+ (* 9/8 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (+ (* -1/3 (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* -1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (+ (* 1/4 (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))))) (pow b 6))) (* -1/3 (/ (+ (* -3/2 (* a c)) (+ (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3 (* a c)))) (pow b 2))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -1 (/ (+ (* -3/2 (* a c)) (+ (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3 (* a c)))) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* -3/2 (* a (* c (+ (* -3/2 (* a c)) (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))))) (+ (* -1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (+ (* 9/8 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (* -1 (/ (+ (* -3/2 (* a c)) (+ (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3 (* a c)))) (pow b 2)))))))
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* -3/2 (* a (* c (+ (* -3/2 (* a c)) (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))))) (+ (* -1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (+ (* 9/8 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (pow b 4))) (+ (* -1 (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* -1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (+ (* 1/4 (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))))) (pow b 6))) (* -1 (/ (+ (* -3/2 (* a c)) (+ (* -1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3 (* a c)))) (pow b 2))))))))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -9/16 (/ (pow a 2) (pow b 5)))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(* -6 (* a b))
(* a (+ (* -6 b) (* 9/2 (/ (* a c) b))))
(* a (+ (* -6 b) (* a (+ (* 27/8 (/ (* a (pow c 2)) (pow b 3))) (* 9/2 (/ c b))))))
(* a (+ (* -6 b) (* a (+ (* 9/2 (/ c b)) (* a (+ (* 27/8 (/ (pow c 2) (pow b 3))) (* 81/16 (/ (* a (pow c 3)) (pow b 5)))))))))
(* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (* a (pow b 2))))
(/ (+ (* 1/3 (* a (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3))))))) (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2)))) a)
(/ (+ (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))) (* a (+ (* 1/3 (* a (+ (* -3/2 (/ (* c (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3)))) (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow c 2) (pow b 3)))))))) (* 1/3 (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3))))))))) a)
(/ (+ (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))) (* a (+ (* 1/3 (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3)))))) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 2))) (* 9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))))) (+ (* -1/2 (* (+ (* -1 (pow b 3)) (pow b 3)) (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8)))))) (* -1/4 (/ (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))) (pow b 7))))))))) (* 1/3 (+ (* -3/2 (/ (* c (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3)))) (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow c 2) (pow b 3)))))))))))) a)
(+ (* -1 (pow b 3)) (pow b 3))
(+ (* -1 (pow b 3)) (+ (* a (+ (* -3/2 (* b c)) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) b)))) (pow b 3)))
(+ (* -1 (pow b 3)) (+ (* a (+ (* -3/2 (* b c)) (+ (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) b)) (* a (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) b)) (* 9/8 (/ (pow c 2) b))))))) (pow b 3)))
(+ (* -1 (pow b 3)) (+ (* a (+ (* -3/2 (* b c)) (+ (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) b)) (* a (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) b)) (+ (* 9/8 (/ (pow c 2) b)) (* a (+ (* -27/16 (/ (pow c 3) (pow b 3))) (* -1/4 (/ (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))) (pow b 5))))))))))) (pow b 3)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 4)
(+ (* a (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (pow b 4))
(+ (* a (+ (* -9 (* a (pow c 2))) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (pow b 4))
(+ (* a (+ (* -9 (* a (pow c 2))) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (pow b 4))
(* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2)))
(+ (* 1/3 (* a (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3))))))) (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))))
(+ (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))) (* a (+ (* 1/3 (* a (+ (* -3/2 (/ (* c (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3)))) (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow c 2) (pow b 3)))))))) (* 1/3 (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3)))))))))
(+ (* 1/3 (/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))) (* a (+ (* 1/3 (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 3)) (pow b 3))) (pow b 4))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3)))))) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 2))) (* 9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))))) (+ (* -1/2 (* (+ (* -1 (pow b 3)) (pow b 3)) (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8)))))) (* -1/4 (/ (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))) (pow b 7))))))))) (* 1/3 (+ (* -3/2 (/ (* c (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -1 (pow b 3)) (pow b 3)))) (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow c 2) (pow b 3))))))))))))
(/ (+ (* -1 (pow b 3)) (pow b 3)) (pow b 2))
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(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
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(* 3 (* a c))
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(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
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(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -3 (* a c))
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(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -9 (* (pow a 2) (pow c 2)))
(* (pow a 2) (+ (* -9 (pow c 2)) (+ (* -3 (/ (* (pow b 2) c) a)) (* 3 (/ (* (pow b 2) c) a)))))
(* (pow a 2) (+ (* -9 (pow c 2)) (+ (* -3 (/ (* (pow b 2) c) a)) (+ (* 3 (/ (* (pow b 2) c) a)) (/ (pow b 4) (pow a 2))))))
(* (pow a 2) (+ (* -9 (pow c 2)) (+ (* -3 (/ (* (pow b 2) c) a)) (+ (* 3 (/ (* (pow b 2) c) a)) (/ (pow b 4) (pow a 2))))))
(* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))) (* b (* c (sqrt -9))))) b)))
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(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* -3/8 (/ (pow a 2) (pow b 5)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* 405/64 (/ (pow a 2) (pow b 6)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))
(* (pow a 2) (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b)))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9)))))
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))) a))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))))) (* 1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))))) a))) a)) (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (+ (* -1/2 (/ (* b (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (* b (* c (sqrt -9)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (* b (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* c (sqrt -9))))) a)) (* 1/2 (/ (* b (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* c (sqrt -9))))) a)) (* b (* c (sqrt -9)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (+ (* 1/4 (/ (* b (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (* a (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ (* b (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* c (sqrt -9)))))) a)) (* 1/2 (/ (* b (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* c (sqrt -9))))) a)) (* b (* c (sqrt -9)))))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -27/32 (/ (pow a 2) (pow b 5)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -9 (* (pow a 2) (pow c 2)))
(* (pow a 2) (+ (* -9 (pow c 2)) (* -1 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) a))))
(* (pow a 2) (+ (* -9 (pow c 2)) (* -1 (/ (+ (* -3 (* (pow b 2) c)) (+ (* -1 (/ (pow b 4) a)) (* 3 (* (pow b 2) c)))) a))))
(* (pow a 2) (+ (* -9 (pow c 2)) (* -1 (/ (+ (* -3 (* (pow b 2) c)) (+ (* -1 (/ (pow b 4) a)) (* 3 (* (pow b 2) c)))) a))))
(* -1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b)))
(* -1 (* a (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))) a)) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))))) a)) (* 1/3 (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))))) a)) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b))))))
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b)))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))))) a)) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b)))))
Outputs
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b))))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
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(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 (*.f64 b c) (sqrt.f64 #s(literal -9 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) b) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)))) (sqrt.f64 #s(literal -9 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 b c) (sqrt.f64 #s(literal -9 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -9 binary64))))))) (*.f64 c (sqrt.f64 #s(literal -9 binary64))))))))) a))) a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))))) a)) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (* b (* c (sqrt -9)))))) b)))))
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 (*.f64 b c) (sqrt.f64 #s(literal -9 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) b) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)))) (sqrt.f64 #s(literal -9 binary64))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 7 binary64)))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -9 binary64))))))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (*.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 b c) (sqrt.f64 #s(literal -9 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -1/36 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))))) a)) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 b c) (sqrt.f64 #s(literal -9 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -9 binary64))))))) (*.f64 c (sqrt.f64 #s(literal -9 binary64)))))))))) a))) a)))))

rewrite272.0ms (2.1%)

Memory
4.7MiB live, 388.7MiB allocated
Rules
4 890×lower-*.f32
4 852×lower-*.f64
4 842×lower-fma.f32
4 826×lower-fma.f64
2 338×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093631
0157589
1595547
25336542
08684541
Stop Event
iter limit
node limit
iter limit
Counts
25 → 878
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
(/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal -1/2 binary64) b)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 b b)
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))))
(fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(+.f64 #s(literal 0 binary64) b)
(/.f64 #s(literal 1 binary64) a)
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c))
(fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) #s(literal 9/16 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -2/9 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 9/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -2/9 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 9/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))))))
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(pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b))) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b))) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b))
(/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) b)
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) b)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b)))
(/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))
(/.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b))))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b) b (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b)))) #s(literal -1 binary64)))

eval483.0ms (3.8%)

Memory
90.8MiB live, 1 173.8MiB allocated
Compiler

Compiled 136 576 to 9 711 computations (92.9% saved)

prune414.0ms (3.3%)

Memory
-47.1MiB live, 502.2MiB allocated
Pruning

50 alts after pruning (47 fresh and 3 done)

PrunedKeptTotal
New2 395222 417
Fresh372562
Picked325
Done112
Total2 436502 486
Accuracy
99.9%
Counts
2 486 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
55.2%
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
54.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
90.1%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) #s(approx (+ (* (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
90.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)))
87.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
81.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)))
87.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 a (+.f64 (neg.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)))) (/.f64 #s(literal 1/2 binary64) b)))) a)))
81.3%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
54.6%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
99.1%
(/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
55.3%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
55.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
55.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
56.5%
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
55.3%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
80.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) #s(literal 3 binary64))
80.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
80.7%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal 3 binary64))
64.3%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
99.1%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
64.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
55.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
55.3%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
54.4%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
55.3%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
55.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
54.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
55.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
55.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
64.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
55.3%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
80.9%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
80.9%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
11.7%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
80.8%
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
89.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
86.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 b b)) #s(literal -9/16 binary64) (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
86.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) c)))) b))
80.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
64.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
Compiler

Compiled 2 340 to 1 400 computations (40.2% saved)

simplify185.0ms (1.5%)

Memory
-0.0MiB live, 228.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))
cost-diff0
(/.f64 #s(literal 1/3 binary64) a)
cost-diff384
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
cost-diff448
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)
cost-diff384
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
cost-diff0
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)
cost-diff0
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
cost-diff384
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 a c))
cost-diff0
#s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))
cost-diff0
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
Rules
7 288×lower-fma.f32
7 286×lower-fma.f64
2 600×lower-*.f32
2 580×lower-*.f64
1 782×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057415
089413
1151410
2289396
3679393
41615387
53578387
65988387
77578387
08130384
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
#s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))
(*.f64 #s(literal 3 binary64) (*.f64 a c))
#s(literal 3 binary64)
(*.f64 a c)
a
c
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 #s(literal 3 binary64) a)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
a
(*.f64 b b)
b
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
(/.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
a
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
#s(literal 1/2 binary64)
(*.f64 b b)
b
(/.f64 #s(literal 2/3 binary64) (*.f64 a c))
#s(literal 2/3 binary64)
(*.f64 a c)
c
Outputs
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a)) #s(literal -1/3 binary64))
#s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))
#s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 #s(literal 3 binary64) (*.f64 a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
#s(literal 3 binary64)
(*.f64 a c)
a
c
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) a)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
a
(*.f64 b b)
b
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)
(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))
#s(literal -1 binary64)
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
a
(*.f64 b b)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b))) a))
(/.f64 #s(literal 1/3 binary64) a)
#s(literal 1/3 binary64)
a
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)
(fma.f64 (/.f64 b (*.f64 a c)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c)))
(-.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
#s(literal 1/2 binary64)
(*.f64 b b)
b
(/.f64 #s(literal 2/3 binary64) (*.f64 a c))
#s(literal 2/3 binary64)
(*.f64 a c)
c

localize171.0ms (1.3%)

Memory
-59.6MiB live, 221.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
accuracy0.3125
(/.f64 #s(literal 1/3 binary64) a)
accuracy0.42578125
(/.f64 #s(literal 2/3 binary64) (*.f64 a c))
accuracy11.695222435492052
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))
accuracy0.28515625
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
accuracy0.2990263546304033
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.3984375
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
accuracy28.488050620108893
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
accuracy0.26171875
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)
accuracy0.2990263546304033
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
accuracy0.328125
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
accuracy28.488050620108893
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)
accuracy0
(/.f64 b c)
accuracy0.265625
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy22.802641224787944
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy0.2990263546304033
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.3046875
(*.f64 #s(literal 3 binary64) (*.f64 a c))
accuracy0.3671875
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
accuracy0.42025375976844204
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
Samples
69.0ms171×0valid
58.0ms85×1valid
Compiler

Compiled 391 to 49 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-div: 23.0ms (25.2% of total)
ival-mult: 23.0ms (25.2% of total)
ival-sqrt: 16.0ms (17.5% of total)
ival-sub: 9.0ms (9.9% of total)
const: 8.0ms (8.8% of total)
adjust: 5.0ms (5.5% of total)
ival-add: 5.0ms (5.5% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.5%)

Memory
15.4MiB live, 92.0MiB allocated
Counts
22 → 720
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (patch #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal 3 binary64) (*.f64 a c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (patch #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (patch (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) #<representation binary64>) () ())
Outputs
#s(alt (* -6 (* a b)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b))) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b))))) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5)))))))) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (patch #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (patch #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (patch #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (patch #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal 3 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal 3 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal 3 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal 3 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 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 (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ 1/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (patch #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a)) (taylor -inf a) (#s(alt #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (patch #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a)) (taylor -inf a) (#s(alt #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (patch #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a)) (taylor -inf a) (#s(alt #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) (patch #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (patch (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (patch (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (patch (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (patch (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) (patch (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
5.0ms
a
@0
((* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* 3 (* a c)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (* (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) 1/3) (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (- (sqrt (+ (* (* c -3) a) (* b b))) b) (sqrt (+ (* (* c -3) a) (* b b))) (/ 1/3 (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -3) a) (* b b)) (/ 2/3 (* a c)))
4.0ms
c
@-inf
((* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* 3 (* a c)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (* (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) 1/3) (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (- (sqrt (+ (* (* c -3) a) (* b b))) b) (sqrt (+ (* (* c -3) a) (* b b))) (/ 1/3 (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -3) a) (* b b)) (/ 2/3 (* a c)))
4.0ms
c
@inf
((* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* 3 (* a c)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (* (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) 1/3) (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (- (sqrt (+ (* (* c -3) a) (* b b))) b) (sqrt (+ (* (* c -3) a) (* b b))) (/ 1/3 (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -3) a) (* b b)) (/ 2/3 (* a c)))
3.0ms
c
@0
((* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* 3 (* a c)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (* (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) 1/3) (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (- (sqrt (+ (* (* c -3) a) (* b b))) b) (sqrt (+ (* (* c -3) a) (* b b))) (/ 1/3 (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -3) a) (* b b)) (/ 2/3 (* a c)))
3.0ms
b
@inf
((* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* 3 (* a c)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (* (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) 1/3) (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (- (sqrt (+ (* (* c -3) a) (* b b))) b) (sqrt (+ (* (* c -3) a) (* b b))) (/ 1/3 (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -3) a) (* b b)) (/ 2/3 (* a c)))

simplify206.0ms (1.6%)

Memory
7.7MiB live, 280.7MiB allocated
Algorithm
egg-herbie
Rules
7 412×lower-*.f64
7 412×lower-*.f32
6 040×lower-fma.f64
6 040×lower-fma.f32
3 318×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167816242
1568515766
0819115161
Stop Event
iter limit
node limit
Counts
720 → 717
Calls
Call 1
Inputs
(* -6 (* a b))
(+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b)))
(+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b)))))
(+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b c))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -2/3 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 3/4 (/ (pow a 2) (pow b 3)))))))) c)
(/ (+ (* -2/3 b) (* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (+ (* 3/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -3/4 (/ (* a (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 3/4 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a))))))))))) c)
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* -3 (/ (* a b) c))))
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))))))
(* c (+ (* -3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (+ (* -3 (/ (* a b) c)) (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
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(* 3 (* a c))
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(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
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(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
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(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c))
(* -3 (* a c))
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(/ 2/3 (* a c))
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(/ 2/3 (* a c))
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(+ (* -3 (* a b)) (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))))
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* -3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))))))
(+ (* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -3 a) (* b (+ (* -3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(+ (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (sqrt -3)))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 2)))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(- b (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
(/ 1/2 b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 2)))))
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -6 (* a b))
(* b (+ (* -6 a) (* 9/2 (/ (* (pow a 2) c) (pow b 2)))))
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 9/2 (/ (* (pow a 2) c) (pow b 2))))))
(* b (+ (* -6 a) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 9/2 (/ (* (pow a 2) c) (pow b 2))) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))
(* b (- (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (* 3/4 (/ (* (pow a 2) c) (pow b 4))))) (* 2/3 (/ 1 c))))
(* b (- (+ (* -3/4 (/ (* a (* c (+ (* -3/8 (* (pow a 2) c)) (* 3/4 (* (pow a 2) c))))) (pow b 6))) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (* -3/8 (/ (* (pow a 2) c) (pow b 4))) (+ (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) (pow c 2))))) (+ (* 1/2 (/ a (pow b 2))) (* 3/4 (/ (* (pow a 2) c) (pow b 4)))))))) (* 2/3 (/ 1 c))))
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))
(* 3/2 (/ (* a c) b))
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -9/2 (/ (* (pow a 2) c) b))
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* 9/2 (* (pow a 2) c))) b))
(* -1 (/ (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6))) (+ (* 27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (+ (* 9/2 (* (pow a 2) c)) (* 81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4)))))) b))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ a b))
(* -1 (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b))
(* -1 (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))) b))
(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b (* a c)))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(/ -1/2 b)
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))) b))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -6 (* a b))
(* a (+ (* -6 b) (* 9/2 (/ (* a c) b))))
(* a (+ (* -6 b) (* a (+ (* 27/8 (/ (* a (pow c 2)) (pow b 3))) (* 9/2 (/ c b))))))
(* a (+ (* -6 b) (* a (+ (* 9/2 (/ c b)) (* a (+ (* 27/8 (/ (pow c 2) (pow b 3))) (* 81/16 (/ (* a (pow c 3)) (pow b 5)))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2/3 (/ b c))
(+ (* -2/3 (/ b c)) (* 1/2 (/ a b)))
(+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))))
(+ (* -2/3 (/ b c)) (* a (+ (* a (+ (* -3/8 (/ c (pow b 3))) (+ (* 3/4 (/ c (pow b 3))) (* a (+ (* -3/4 (/ (* c (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))))) (* 1/2 (/ 1 b)))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(* 3/2 (/ (* a c) b))
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(* -3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (* -3 (/ b a))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -3 (/ b a)) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3))))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(* 3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3))))
(* (pow a 2) (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 b)) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ b (* c (pow (sqrt 3) 2)))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)))
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
(/ 2/3 (* a c))
Outputs
(* -6 (* a b))
(*.f64 (*.f64 b a) #s(literal -6 binary64))
(+ (* -6 (* a b)) (* 9/2 (/ (* (pow a 2) c) b)))
(fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))
(+ (* -6 (* a b)) (* c (+ (* 27/8 (/ (* (pow a 3) c) (pow b 3))) (* 9/2 (/ (pow a 2) b)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 a a) b) #s(literal 9/2 binary64) (/.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (*.f64 (*.f64 b b) b))) c (*.f64 (*.f64 b a) #s(literal -6 binary64)))
(+ (* -6 (* a b)) (* c (+ (* 9/2 (/ (pow a 2) b)) (* c (+ (* 27/8 (/ (pow a 3) (pow b 3))) (* 81/16 (/ (* (pow a 4) c) (pow b 5))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 81/16 binary64) (/.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 (*.f64 a a) b) #s(literal 9/2 binary64))) c (*.f64 (*.f64 b a) #s(literal -6 binary64)))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) c)
(* 3 (* a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(* 3 (* a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(* 3 (* a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(* 3 (* a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(* 3 (* a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(* 3 (* a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(* 3 (* a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(* 3 (* a c))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 b a))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) c (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 b a))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) c)
(* -3/2 (/ c b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c a)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)) c)
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) c (neg.f64 (/.f64 #s(literal 3/2 binary64) b))) c)
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 b a))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 #s(literal -9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) c (neg.f64 (/.f64 #s(literal 3/2 binary64) b))) c)
(* -3/2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (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 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 a (/.f64 b c)))) a))) a)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) a) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 c c))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) a) (*.f64 a (/.f64 b (*.f64 #s(literal 3 binary64) c)))) a))) a)
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -3 (* a c))
(*.f64 #s(literal -3 binary64) (*.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))
(/ 2/3 (* a c))
(/.f64 #s(literal 2/3 binary64) (*.f64 c a))
(/ 2/3 (* a c))
(/.f64 #s(literal 2/3 binary64) (*.f64 c a))
(/ 2/3 (* a c))
(/.f64 #s(literal 2/3 binary64) (*.f64 c a))
(/ 2/3 (* a c))
(/.f64 #s(literal 2/3 binary64) (*.f64 c a))

rewrite266.0ms (2.1%)

Memory
0.6MiB live, 353.3MiB allocated
Rules
5 242×lower-/.f32
5 222×lower-/.f64
5 020×lower-fma.f32
5 018×lower-fma.f64
4 090×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057304
091302
1341298
22662298
08932295
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 043
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
#s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))
(*.f64 #s(literal 3 binary64) (*.f64 a c))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
(/.f64 b c)
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
(/.f64 #s(literal 1/3 binary64) a)
#s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(/.f64 #s(literal 2/3 binary64) (*.f64 a c))
Outputs
(*.f64 (/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(*.f64 (/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) (/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b))) (/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
(*.f64 (/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
(*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) (/.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) a)
(*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a) #s(literal 3 binary64))
(*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))
(*.f64 a (*.f64 #s(literal 3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b)) (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 (*.f64 (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(fma.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(fma.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(+.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (*.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
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(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b))))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b))))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b)))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) b) b)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b))))
(/.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)))
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) b) b))))
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b))))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (neg.f64 c) (*.f64 a #s(literal 3 binary64)) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64) (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 c) (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 #s(literal 3 binary64) (*.f64 (neg.f64 a) c) (*.f64 b b))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 c a) (*.f64 c a))) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b))))) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b))))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))
(fabs.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 c #s(literal 2/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 2/3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal 2/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 c a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) c)))
(*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
(pow.f64 (/.f64 c (/.f64 #s(literal 2/3 binary64) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) c)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 (neg.f64 c)))
(/.f64 (/.f64 #s(literal 2/3 binary64) c) a)
(/.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 c))
(/.f64 (/.f64 #s(literal 2/3 binary64) a) c)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 c (/.f64 #s(literal 2/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c a) #s(literal 3/2 binary64)))
(/.f64 #s(literal -2/3 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 a) c))))
(/.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 a) c))
(/.f64 #s(literal 2/3 binary64) (neg.f64 (*.f64 (neg.f64 a) c)))
(/.f64 #s(literal 2/3 binary64) (*.f64 c a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64))))
(neg.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64))) #s(literal -1 binary64)))

eval328.0ms (2.6%)

Memory
26.9MiB live, 643.4MiB allocated
Compiler

Compiled 59 314 to 5 108 computations (91.4% saved)

prune171.0ms (1.3%)

Memory
8.4MiB live, 474.2MiB allocated
Pruning

64 alts after pruning (58 fresh and 6 done)

PrunedKeptTotal
New1 838361 874
Fresh202242
Picked235
Done033
Total1 860641 924
Accuracy
100.0%
Counts
1 924 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
55.2%
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
55.3%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
99.4%
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))
81.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
81.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))))
55.3%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
55.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
99.1%
(/.f64 (*.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
64.3%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
99.1%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 c #s(literal 3 binary64)) a)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
99.1%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
99.1%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a) #s(literal 3 binary64)))
99.1%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) a))
99.1%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))
81.3%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))))
81.3%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 9/2 binary64) (*.f64 b #s(literal -6 binary64))) a)))
64.2%
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
64.3%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
81.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))))
55.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
55.3%
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
81.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)) a))
64.2%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
81.3%
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
81.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
87.1%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) c (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) c (*.f64 #s(literal -2/3 binary64) b)) c)))
81.5%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
81.4%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
64.3%
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
54.4%
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
55.3%
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) #s(literal 1/3 binary64))
54.7%
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 1/3 binary64))
55.3%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
55.4%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
55.1%
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* c -3) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a) #s(literal 1/3 binary64))
34.7%
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
99.0%
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
55.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 1/3 binary64))
55.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
54.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
55.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
55.4%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
64.3%
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
99.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
55.3%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
54.6%
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 1/3 binary64))
80.7%
(*.f64 #s(approx (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 1/3 binary64))
80.9%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
11.7%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
80.8%
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
64.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
80.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
64.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
64.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
Compiler

Compiled 5 055 to 1 487 computations (70.6% saved)

regimes224.0ms (1.8%)

Memory
-12.6MiB live, 436.9MiB allocated
Counts
146 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
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(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) b)))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) (neg.f64 b))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) #s(approx (+ (* (/ (* (* (/ a (* (* b b) b)) -3/8) a) (* b b)) -3/4) (+ (* (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a))) -2/9) (/ (* 9/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (+.f64 #s(literal 0 binary64) b)))))
(*.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b 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 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c))))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) 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 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 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 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b)) a (*.f64 (/.f64 b c) #s(literal -2/3 binary64))) a)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) a) (*.f64 b b)) #s(literal -3/4 binary64) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) #s(literal -2/9 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) c (/.f64 #s(literal 1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) c)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) c) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (*.f64 a a) (*.f64 c c))) #s(literal -2/9 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/4 binary64) (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 3/8 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) b)))
Outputs
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))
Calls

5 calls:

50.0ms
(*.f64 #s(literal 3 binary64) a)
45.0ms
b
40.0ms
a
40.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
39.0ms
c
Results
AccuracySegmentsBranch
99.4%1a
99.4%1b
99.4%1c
99.4%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
99.4%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes179.0ms (1.4%)

Memory
4.8MiB live, 193.5MiB allocated
Counts
94 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(*.f64 #s(approx (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 9/2 binary64) (*.f64 b #s(literal -6 binary64))) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* c -3) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) a))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a) #s(literal 3 binary64)))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 c #s(literal 3 binary64)) a)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
Outputs
(/.f64 (*.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
Calls

5 calls:

64.0ms
c
33.0ms
(*.f64 #s(literal 3 binary64) a)
27.0ms
b
24.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
24.0ms
a
Results
AccuracySegmentsBranch
99.1%1a
99.1%1b
99.1%1c
99.1%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
99.1%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes166.0ms (1.3%)

Memory
1.0MiB live, 221.3MiB allocated
Counts
93 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(*.f64 #s(approx (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 9/2 binary64) (*.f64 b #s(literal -6 binary64))) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* c -3) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) a))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a) #s(literal 3 binary64)))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 c #s(literal 3 binary64)) a)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 (/.f64 b c) #s(literal -2/3 binary64) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)))
Outputs
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) a))
Calls

5 calls:

46.0ms
a
39.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
28.0ms
c
26.0ms
b
23.0ms
(*.f64 #s(literal 3 binary64) a)
Results
AccuracySegmentsBranch
99.1%1a
99.1%1(*.f64 #s(literal 3 binary64) a)
99.1%1b
99.1%1c
99.1%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes175.0ms (1.4%)

Memory
15.7MiB live, 204.2MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(*.f64 #s(approx (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 9/2 binary64) (*.f64 b #s(literal -6 binary64))) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* c -3) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
Outputs
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
Calls

5 calls:

55.0ms
c
45.0ms
(*.f64 #s(literal 3 binary64) a)
26.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
25.0ms
a
21.0ms
b
Results
AccuracySegmentsBranch
99.1%1a
99.1%1(*.f64 #s(literal 3 binary64) a)
99.1%1b
99.1%1c
99.1%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes128.0ms (1%)

Memory
-12.2MiB live, 218.0MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(*.f64 #s(approx (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 9/2 binary64) (*.f64 b #s(literal -6 binary64))) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* c -3) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))
Outputs
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))
Calls

5 calls:

28.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
27.0ms
c
22.0ms
(*.f64 #s(literal 3 binary64) a)
22.0ms
b
21.0ms
a
Results
AccuracySegmentsBranch
99.1%1a
99.1%1b
99.1%1c
99.1%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
99.1%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes142.0ms (1.1%)

Memory
13.8MiB live, 263.6MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(*.f64 #s(approx (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 9/2 binary64) (*.f64 b #s(literal -6 binary64))) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* c -3) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)))
Outputs
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
Calls

5 calls:

41.0ms
(*.f64 #s(literal 3 binary64) a)
28.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
27.0ms
c
22.0ms
a
20.0ms
b
Results
AccuracySegmentsBranch
99.0%1a
99.0%1c
99.0%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
99.0%1(*.f64 #s(literal 3 binary64) a)
99.0%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes148.0ms (1.2%)

Memory
-4.3MiB live, 219.5MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(*.f64 #s(approx (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 9/2 binary64) (*.f64 b #s(literal -6 binary64))) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* c -3) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
Calls

5 calls:

37.0ms
(*.f64 #s(literal 3 binary64) a)
35.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
26.0ms
a
24.0ms
c
22.0ms
b
Results
AccuracySegmentsBranch
99.0%1a
99.0%1b
99.0%1c
99.0%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
99.0%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes113.0ms (0.9%)

Memory
23.1MiB live, 181.4MiB allocated
Counts
77 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2/3 binary64) c)) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(*.f64 #s(approx (/ (- (sqrt (+ (* (* c -3) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) #s(literal -9/8 binary64) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 1/3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal 9/2 binary64) (*.f64 b #s(literal -6 binary64))) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (fma.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* c -3) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c))) b) a) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b)) a))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) b) #s(literal 9/2 binary64) (*.f64 (*.f64 b a) #s(literal -6 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))) a)) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) #s(approx (* (- (/ 1/2 (* b b)) (/ 2/3 (* a c))) b) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 c a)) #s(literal -2/3 binary64) #s(literal 1/2 binary64)) b))))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b a))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) b))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b)))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c)))
Calls

5 calls:

24.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
24.0ms
(*.f64 #s(literal 3 binary64) a)
21.0ms
b
21.0ms
a
19.0ms
c
Results
AccuracySegmentsBranch
81.5%1a
81.5%1(*.f64 #s(literal 3 binary64) a)
85.3%2b
81.5%1c
86.7%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes20.0ms (0.2%)

Memory
-27.9MiB live, 33.3MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
Calls

1 calls:

19.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
86.7%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

regimes21.0ms (0.2%)

Memory
11.9MiB live, 46.4MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
Calls

1 calls:

20.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
86.7%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

regimes10.0ms (0.1%)

Memory
-1.6MiB live, 36.4MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
Calls

1 calls:

8.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
86.6%2(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

regimes34.0ms (0.3%)

Memory
15.7MiB live, 54.8MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
Outputs
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
Calls

5 calls:

7.0ms
b
7.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
6.0ms
(*.f64 #s(literal 3 binary64) a)
6.0ms
c
6.0ms
a
Results
AccuracySegmentsBranch
81.4%1c
81.4%1a
81.4%1(*.f64 #s(literal 3 binary64) a)
81.4%1b
81.4%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes35.0ms (0.3%)

Memory
-31.5MiB live, 53.0MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
Calls

5 calls:

8.0ms
b
7.0ms
c
6.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
6.0ms
(*.f64 #s(literal 3 binary64) a)
6.0ms
a
Results
AccuracySegmentsBranch
80.8%1c
80.8%1a
80.8%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
80.8%1(*.f64 #s(literal 3 binary64) a)
80.8%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes33.0ms (0.3%)

Memory
7.7MiB live, 44.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b)))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #s(approx (* (* 3 a) (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (*.f64 b a) #s(literal -6 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 b b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (*.f64 b b) b)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 b (*.f64 c a)) #s(literal -2/3 binary64))) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ 1/3 a) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))))
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* c -3) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)) b) a) #s(literal 1/3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

5 calls:

9.0ms
c
6.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
6.0ms
b
6.0ms
(*.f64 #s(literal 3 binary64) a)
6.0ms
a
Results
AccuracySegmentsBranch
64.4%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
64.4%1a
64.4%1c
64.4%1(*.f64 #s(literal 3 binary64) a)
64.4%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Calls

5 calls:

1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
c
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
64.3%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
64.3%1c
64.3%1a
64.3%1b
64.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010328921686456776
-0.009836145078807753
Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010328921686456776
-0.009836145078807753
Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010328921686456776
-0.009836145078807753
Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.010328921686456776
-0.009836145078807753
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify17.0ms (0.1%)

Memory
-12.9MiB live, 25.8MiB allocated
Algorithm
egg-herbie
Rules
124×*-commutative_binary64
78×+-commutative_binary64
74×neg-sub0_binary64
74×neg-mul-1_binary64
72×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129651
1174645
2206645
3251645
4323645
5384645
6429645
7449645
8455645
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) a))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Outputs
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (*.f64 (neg.f64 #s(literal 3 binary64)) a))
(/.f64 (*.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) a))
(/.f64 (neg.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 3 binary64)) a))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(/.f64 (neg.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64)))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))))
(/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(literal 1/3 binary64))
(*.f64 (neg.f64 #s(literal 1/3 binary64)) (/.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) c)))
(*.f64 (neg.f64 #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))) c))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 c b) a))) c))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1/3 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 (/.f64 a b) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c))) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))

soundness1.7s (13.6%)

Memory
20.8MiB live, 1 218.5MiB allocated
Rules
11 360×lower-fma.f64
11 360×lower-fma.f32
7 986×lower-*.f64
7 986×lower-*.f32
7 446×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167816242
1568515766
0819115161
0279227894
0829926619
01246
02046
17144
252543
3683643
0812540
093631
0157589
1595547
25336542
08684541
057304
091302
1341298
22662298
08932295
0128614714
1419714540
0868913943
04702458
114452441
248902418
080562302
070429
0119423
1444389
23444381
09566381
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 566 to 651 computations (58.4% saved)

preprocess133.0ms (1%)

Memory
-1.7MiB live, 155.7MiB allocated
Compiler

Compiled 830 to 198 computations (76.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...