Cubic critical, wide range

Time bar (total: 11.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze254.0ms (2.3%)

Memory
-14.6MiB live, 193.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.8%0%0%100%0%0%0%7
15.9%0%0%100%0%0%0%8
23.1%0%0%100%0%0%0%9
36.5%0%0%100%0%0%0%10
45.4%0%0%100%0%0%0%11
52.3%0%0%100%0%0%0%12
Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.5s (22.1%)

Memory
-88.5MiB live, 1 821.5MiB allocated
Samples
1.6s6 731×1valid
170.0ms1 525×0valid
138.0ms1 133×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 279.0ms (22% of total)
const: 174.0ms (13.7% of total)
adjust: 157.0ms (12.4% of total)
ival-<: 153.0ms (12.1% of total)
ival-sqrt: 121.0ms (9.6% of total)
ival-div: 114.0ms (9% of total)
ival-sub: 85.0ms (6.7% of total)
ival-add: 84.0ms (6.6% of total)
ival-neg: 50.0ms (3.9% of total)
ival-and: 35.0ms (2.8% of total)
exact: 11.0ms (0.9% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain196.0ms (1.8%)

Memory
11.2MiB live, 205.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2500-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.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-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
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))))cancellation2500
Confusion
Predicted +Predicted -
+2500
-06
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25000
-006
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
06
1250
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
83.0ms420×1valid
8.0ms92×0valid
Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-sub: 22.0ms (34.2% of total)
ival-mult: 13.0ms (20.2% of total)
adjust: 8.0ms (12.4% of total)
ival-sqrt: 7.0ms (10.9% of total)
ival-div: 6.0ms (9.3% of total)
ival-add: 5.0ms (7.8% of total)
ival-neg: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess131.0ms (1.2%)

Memory
-2.1MiB live, 80.3MiB allocated
Algorithm
egg-herbie
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 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify67.0ms (0.6%)

Memory
-1.1MiB live, 38.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 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))))
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

localize49.0ms (0.4%)

Memory
15.5MiB live, 54.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.08041000976844202
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy0.2890625
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
accuracy0.34603500976844204
(/.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))
accuracy52.768809866610866
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Samples
36.0ms210×1valid
4.0ms46×0valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 6.0ms (25.4% of total)
adjust: 4.0ms (16.9% of total)
ival-sqrt: 4.0ms (16.9% of total)
ival-div: 3.0ms (12.7% of total)
ival-add: 2.0ms (8.5% of total)
ival-sub: 2.0ms (8.5% of total)
ival-neg: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
-14.0MiB live, 29.7MiB 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>) () ())) ())
#s(alt (* 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)))))) (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
9.0ms
b
@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))

simplify203.0ms (1.8%)

Memory
-53.1MiB live, 149.0MiB allocated
Algorithm
egg-herbie
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 a (/.f64 a (pow.f64 b #s(literal 3 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 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 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 #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 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) 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 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.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 (pow.f64 b #s(literal 3 binary64))) #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) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 (pow.f64 c #s(literal 3 binary64)) a)))) #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 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (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 (pow.f64 c #s(literal 3 binary64)) a)))) #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)))
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 3 a)))
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(+ (* -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 (pow.f64 c #s(literal 3 binary64)) a))) (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))
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(* 3 (* a c))
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(* 3 (* a c))
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(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 c a))

rewrite277.0ms (2.5%)

Memory
32.3MiB live, 107.1MiB allocated
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
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eval115.0ms (1%)

Memory
-18.0MiB live, 98.5MiB allocated
Compiler

Compiled 17 052 to 1 916 computations (88.8% saved)

prune49.0ms (0.4%)

Memory
19.3MiB live, 58.9MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New53024554
Fresh000
Picked101
Done000
Total53124555
Accuracy
99.9%
Counts
555 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.7%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
17.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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))
17.5%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
17.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
17.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
17.4%
(/.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))
17.5%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
95.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
97.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
95.9%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
90.6%
(/.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))
17.5%
(/.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)))
17.2%
(-.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))))
17.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
17.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
98.1%
#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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
96.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
96.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
97.8%
#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) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
97.3%
#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 (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Compiler

Compiled 1 114 to 816 computations (26.8% saved)

simplify147.0ms (1.3%)

Memory
-23.3MiB live, 95.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b)
cost-diff0
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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))
cost-diff320
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)))
cost-diff2624
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b))
cost-diff0
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
cost-diff320
(fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
cost-diff0
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) a)
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
cost-diff704
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))
cost-diff6144
(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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080719
0138719
1239703
2569679
31874657
45553657
08234649
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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))))
(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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64))
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(*.f64 c c)
#s(literal -3/8 binary64)
(pow.f64 b #s(literal 3 binary64))
(*.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 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(literal 1/3 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
(fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b)
(*.f64 (*.f64 a a) #s(literal -9/8 binary64))
(*.f64 a a)
a
#s(literal -9/8 binary64)
b
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(*.f64 c a)
#s(literal -3/2 binary64)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b)
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))
#s(literal -9 binary64)
(pow.f64 (*.f64 c a) #s(literal 2 binary64))
(*.f64 c a)
c
a
#s(literal 2 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(*.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)
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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) 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 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (/.f64 c b) (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 (/.f64 c b) a) #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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (/.f64 c b) (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 (/.f64 c b) a) #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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))))))
(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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -135/128 binary64) a) (pow.f64 b #s(literal 7 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64))
(*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64)))
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -9/16 binary64)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.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))
(*.f64 c c)
#s(literal -3/8 binary64)
(pow.f64 b #s(literal 3 binary64))
(*.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 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))))
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(literal 1/3 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (/.f64 (fma.f64 #s(literal -3/2 binary64) a (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) c) b)) b))) (*.f64 a #s(literal 3 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (/.f64 (fma.f64 #s(literal -3/2 binary64) a (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) c) b)) b)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
(*.f64 c (/.f64 (fma.f64 #s(literal -3/2 binary64) a (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) c) b)) b))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))
(*.f64 (fma.f64 #s(literal -3/2 binary64) a (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) c) b)) c)
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b)
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b)
(*.f64 (*.f64 a a) #s(literal -9/8 binary64))
(*.f64 #s(literal -9/8 binary64) (*.f64 a a))
(*.f64 a a)
a
#s(literal -9/8 binary64)
b
(/.f64 (*.f64 c c) b)
(*.f64 (/.f64 c b) c)
(*.f64 c c)
c
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 c a))
(*.f64 c a)
#s(literal -3/2 binary64)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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 1/3 binary64) a) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b)))) b))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b)))) b)
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)))
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b))) (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64))))) b)
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b)
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b)
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))
#s(literal -9 binary64)
(pow.f64 (*.f64 c a) #s(literal 2 binary64))
(*.f64 c a)
c
a
#s(literal 2 binary64)
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b))) (*.f64 b b))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 b b)
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b))) b)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))

localize380.0ms (3.4%)

Memory
34.1MiB live, 345.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.34603500976844204
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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))
accuracy0.39681625976844204
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b))
accuracy0.46322250976844204
(pow.f64 (*.f64 c a) #s(literal 2 binary64))
accuracy52.89358774417299
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)))
accuracy0.27734375
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
accuracy0.2890625
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
accuracy0.34603500976844204
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
accuracy2.2791100316848576
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
accuracy0.07650375976844202
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.37890625
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))
accuracy0.38671875
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
accuracy52.768809866610866
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
accuracy0
(/.f64 c b)
accuracy0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy5.788923494746458
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy0.33203125
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
accuracy0.3359375
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
accuracy0.359375
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
accuracy1.1594644066439659
#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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Samples
271.0ms211×1valid
25.0ms45×0valid
Compiler

Compiled 658 to 83 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 227.0ms
ival-mult: 77.0ms (33.9% of total)
adjust: 46.0ms (20.2% of total)
ival-div: 29.0ms (12.8% of total)
ival-pow: 23.0ms (10.1% of total)
ival-add: 17.0ms (7.5% of total)
ival-sqrt: 14.0ms (6.2% of total)
const: 8.0ms (3.5% of total)
ival-sub: 7.0ms (3.1% of total)
ival-pow2: 4.0ms (1.8% of total)
exact: 2.0ms (0.9% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series222.0ms (2%)

Memory
6.2MiB live, 240.8MiB allocated
Counts
25 → 768
Calls
Call 1
Inputs
#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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())
#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 (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) 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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) a) (patch (/.f64 #s(literal -1 binary64) a) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) #<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 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 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)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 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 a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<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 (* 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 (* -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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
31.0ms
c
@0
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (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) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (* (* c c) -3/8) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (pow (* c a) 2))
27.0ms
a
@inf
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (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) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (* (* c c) -3/8) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (pow (* c a) 2))
27.0ms
c
@inf
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (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) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (* (* c c) -3/8) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (pow (* c a) 2))
20.0ms
c
@-inf
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (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) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (* (* c c) -3/8) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (pow (* c a) 2))
20.0ms
b
@0
((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (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) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (pow c 4) (pow b 6)) (/ (* (* c c) -3/8) (pow b 3)) (* (* c c) -3/8) (+ (* (* -3 c) a) (* b b)) (* (* c a) -3/2) (pow (* c a) 2))

simplify292.0ms (2.6%)

Memory
-24.3MiB live, 246.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209021615
1578021455
0807820658
Stop Event
iter limit
node limit
Counts
768 → 768
Calls
Call 1
Inputs
(* -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)))))
(* 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)))
(* -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 (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(* 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))))
(* -3/2 (* a c))
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))))
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))))
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) 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))))
(* -3/2 (/ (* 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))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 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))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* -3/2 (* a (* b c)))
(* c (- (* c (- (* -9/2 (/ (pow a 2) b)) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b))))
(* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* -27/16 (/ (* (pow a 3) c) (pow b 3)))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b))))
(* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 5))) (* -1/2 (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 3)))))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b))))
(* -1/2 (/ c b))
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 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)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b))))
(pow b 3)
(+ (* -9/2 (/ (* (pow a 2) (pow c 2)) b)) (pow b 3))
(+ (* (pow c 2) (+ (* -81/8 (/ (* (pow a 4) (pow c 2)) (pow b 5))) (* -9/2 (/ (pow a 2) b)))) (pow b 3))
(+ (* (pow c 2) (+ (* -9/2 (/ (pow a 2) b)) (* (pow c 2) (+ (* -729/16 (/ (* (pow a 6) (pow c 2)) (pow b 9))) (* -81/8 (/ (pow a 4) (pow b 5))))))) (pow b 3))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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)))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* -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)))))
(* 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 (/ (* 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 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c)))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b 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)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2)))))
(* 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 (* 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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))))
(* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))))))))
(* c (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))
(* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))))
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))))
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))))))
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)))
(* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))))
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow c 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))))
(* a (* b (* c (sqrt -9))))
(* c (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))
(* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))))
(* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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)))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
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(* 405/64 (/ (pow c 4) (pow b 7)))
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(* -1/2 (/ c b))
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(/ c b)
(/ c b)
(/ c b)
(/ c b)
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(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
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(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
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(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)))
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))))
(* -1 (* c (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))
(* -1 (* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))))
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))))
(* -1 (* a (* b (* c (sqrt -9)))))
(* -1 (* c (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))))
(* -1 (* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))))
(* -1 (* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))))))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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)))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -3/8 (pow c 2))
(* -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))))
(* -3/2 (* a c))
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(* -3/2 (* a c))
(* -3/2 (* a c))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (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)))
(* 405/64 (/ (pow c 4) (pow b 7)))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7))
(* 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)))))
(* 1/3 (* (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))
(/ c b)
(/ c b)
(/ c b)
(/ 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)))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (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 (* (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)) (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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(* (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))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (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)))) (* 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))))
(* a (* b (* c (sqrt -9))))
(* b (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9)))))
(* b (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3))))))
(* b (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3))))))
(* 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)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))))
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 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)))))))))))))
(* a (* b (* c (sqrt -9))))
(* b (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -9))))) (* a (* c (sqrt -9)))))
(* b (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -9)))))))))
(* b (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -9) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -9)))))))))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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)))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(* 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)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5))
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (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)
(* -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))
(/ c b)
(/ c b)
(/ c b)
(/ 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)
(* 1/2 (/ (* a c) b))
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* 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)
(* -3/2 (* a c))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (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)
(* -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)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(* -3/2 (/ (* a c) b))
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow 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)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* 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))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -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)
(* -3/2 (* a (* b c)))
(* b (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))))
(* b (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))))
(* b (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -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))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b)
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b)
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* 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)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b)
(pow b 3)
(* (pow b 3) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(* (pow b 3) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* (pow b 3) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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 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)))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* 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)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5)))
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 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)))))))
(* -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))
(/ c b)
(/ c b)
(/ c b)
(/ 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)))))))
(* 2/3 b)
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3)))
(* 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))))))))
(* -3/2 (* a c))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (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)))))))
(* -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))))))))
(* -3/2 (/ (* a c) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -2 b)
(* -1 (* b (+ 2 (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2)))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (+ (* -3/2 (* a (* c (- (* 9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))))) (+ (* 3/4 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow 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)) (* 3 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2)))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 4))))))))
(* 2 (pow b 3))
(* -1 (* (pow b 3) (- (* -3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* (pow b 3) (- (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))))
(* -1 (* (pow b 3) (- (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (+ (* -1/3 (/ (- (+ (* -9 (* a (pow c 2))) (* 9 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* 9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (+ (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (+ (* 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) (* 3 c)) (pow b 2))) (+ (* -1/3 (/ (- (+ (* -9 (* a (pow c 2))) (* 9 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)))
(* -1 (* (pow b 3) (- (+ (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8)))) 1)))
(* -1 (* (pow b 3) (- (+ (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* 729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))))) 1)))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(/ (pow c 4) (pow b 6))
(* -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 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)))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(* -9/16 (/ (pow c 3) (pow b 5)))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (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))) (* -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)))))))
(* -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 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* 1/2 (/ (* a c) b))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))))
(* 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))))
(* -3/2 (* a c))
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))))
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))))
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (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)))))))
(* -3/2 (/ (* 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))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 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))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* -3/2 (* a (* b c)))
(* a (- (* a (- (* -9/2 (/ (pow c 2) b)) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c))))
(* a (- (* a (- (+ (* -9/2 (/ (pow c 2) b)) (* -27/16 (/ (* a (pow c 3)) (pow b 3)))) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c))))
(* a (- (* a (- (+ (* -9/2 (/ (pow c 2) b)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 5))) (* -1/2 (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 3)))))) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 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))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))))))
(pow b 3)
(+ (* -9/2 (/ (* (pow a 2) (pow c 2)) b)) (pow b 3))
(+ (* (pow a 2) (+ (* -81/8 (/ (* (pow a 2) (pow c 4)) (pow b 5))) (* -9/2 (/ (pow c 2) b)))) (pow b 3))
(+ (* (pow a 2) (+ (* -9/2 (/ (pow c 2) b)) (* (pow a 2) (+ (* -729/16 (/ (* (pow a 2) (pow c 6)) (pow b 9))) (* -81/8 (/ (pow c 4) (pow b 5))))))) (pow b 3))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* -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))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* -135/128 (/ (* a (pow c 4)) (pow b 7)))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* 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)))
(+ (* -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))))))
(* 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 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a)))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b 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)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (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))))))
(* (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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))))))
(* a (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))))))))
(* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))
(* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))))
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))))
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)))
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))))
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow a 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))))
(* a (* b (* c (sqrt -9))))
(* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))
(* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))))
(* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* -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 (/ (+ (* 1/6 (* (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 (* 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)))))))
(* (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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))
(* -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 (* 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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)))
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))))
(* -1 (* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))
(* -1 (* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))))
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))))
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))))
(* -1 (* a (* b (* c (sqrt -9)))))
(* -1 (* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))))
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))))
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))))))
(* -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))))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
Outputs
(* -3/8 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* (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 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* (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 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 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)))
(* 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)))
(* -9/16 (/ (pow c 3) (pow b 5)))
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 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 (pow.f64 c #s(literal 3 binary64)) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #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 (pow.f64 c #s(literal 3 binary64)) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 #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)))))
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(* -1 (* a (* b (* c (sqrt -9)))))
(*.f64 (neg.f64 a) (*.f64 b (*.f64 c (sqrt.f64 #s(literal -9 binary64)))))
(* -1 (* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 b c) (sqrt.f64 #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 a a) c) (sqrt.f64 #s(literal -9 binary64))))))
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))))
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal -9 binary64)))) (fma.f64 (*.f64 b c) (sqrt.f64 #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 a a) c) (sqrt.f64 #s(literal -9 binary64)))))))
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))))))
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(* -3 (* a c))
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(* -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))))
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(* -3/2 (* a c))
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(* -3/2 (* a c))
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(* -3/2 (* a c))
(*.f64 #s(literal -3/2 binary64) (*.f64 a c))
(* -3/2 (* a c))
(*.f64 #s(literal -3/2 binary64) (*.f64 a c))
(* (pow a 2) (pow c 2))
(*.f64 (*.f64 a a) (*.f64 c c))
(* (pow a 2) (pow c 2))
(*.f64 (*.f64 a a) (*.f64 c c))
(* (pow a 2) (pow c 2))
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(* (pow a 2) (pow c 2))
(*.f64 (*.f64 a a) (*.f64 c c))

rewrite194.0ms (1.7%)

Memory
12.1MiB live, 167.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080476
0138476
1503448
23820440
08299436
Stop Event
iter limit
node limit
iter limit
Counts
25 → 625
Calls
Call 1
Inputs
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(*.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 (*.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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))))
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#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)
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(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b)
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(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (*.f64 c c) #s(literal -3/8 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(pow.f64 (*.f64 c a) #s(literal 2 binary64))
Outputs
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eval272.0ms (2.4%)

Memory
15.0MiB live, 319.8MiB allocated
Compiler

Compiled 59 115 to 5 333 computations (91% saved)

prune122.0ms (1.1%)

Memory
4.8MiB live, 165.8MiB allocated
Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New1 445261 471
Fresh61319
Picked325
Done000
Total1 454411 495
Accuracy
99.9%
Counts
1 495 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) 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))
17.5%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
95.6%
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
95.6%
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 b (-.f64 (fma.f64 (/.f64 #s(literal -9/2 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)))) (*.f64 #s(literal 3/2 binary64) (*.f64 a c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
17.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
17.4%
(/.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))
17.5%
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) a)
90.5%
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
95.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
95.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
95.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a))
96.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 c (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)))) b)) (*.f64 #s(literal 3 binary64) a))
95.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
90.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
97.0%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a))
90.6%
(/.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))
95.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
17.5%
(/.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)))
17.4%
(-.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) a)))
17.2%
(-.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))))
17.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
18.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
18.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (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)) #s(literal 1/3 binary64)))
17.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
18.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
95.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
95.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 3 binary64)))))))
90.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
97.7%
#s(approx (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c c)) #s(literal -9/4 binary64) (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/4 binary64) c) (*.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal -27/4 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 c (*.f64 (*.f64 a (*.f64 c c)) #s(literal -27/8 binary64))))))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) c)) b))
97.8%
#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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c))))
98.1%
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.7%
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
96.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
90.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
97.8%
#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) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
97.3%
#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 (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
96.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
90.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 2 033 to 1 431 computations (29.6% saved)

simplify163.0ms (1.5%)

Memory
0.1MiB live, 163.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
cost-diff640
(fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c))))
cost-diff0
#s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b))
cost-diff0
(/.f64 #s(literal -1 binary64) a)
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
cost-diff640
(fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c)))
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-diff0
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
cost-diff6464
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111903
0161903
1302894
2722872
31894850
42821836
54850836
66718836
08436811
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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))))
(*.f64 #s(literal -135/128 binary64) (*.f64 a a))
#s(literal -135/128 binary64)
(*.f64 a a)
a
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))
(*.f64 b b)
b
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))
(*.f64 #s(literal -9/16 binary64) a)
#s(literal -9/16 binary64)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))
(*.f64 #s(literal -3/8 binary64) (*.f64 b b))
#s(literal -3/8 binary64)
(*.f64 c c)
(pow.f64 b #s(literal 7 binary64))
#s(literal 7 binary64)
(*.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 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 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
#s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b))
(/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)
(fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c)))
(/.f64 #s(literal 3/8 binary64) b)
#s(literal 3/8 binary64)
b
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b))
(*.f64 a a)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
(*.f64 #s(literal 1/2 binary64) (*.f64 a c))
#s(literal 1/2 binary64)
(*.f64 a c)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c))))
(*.f64 #s(literal -9/8 binary64) (*.f64 a a))
#s(literal -9/8 binary64)
(*.f64 a a)
a
(*.f64 c c)
c
(*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))
#s(literal -3/2 binary64)
(*.f64 a (*.f64 (*.f64 b b) c))
(*.f64 (*.f64 b b) c)
(*.f64 b b)
b
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) a)
Outputs
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) c) (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) c) (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) c) (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) c) (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))))
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) c) (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))
(*.f64 #s(literal -135/128 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal -135/128 binary64))
#s(literal -135/128 binary64)
(*.f64 a a)
a
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))
(*.f64 (*.f64 (*.f64 (*.f64 b b) c) c) (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))
(*.f64 b b)
b
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))
(*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))
(*.f64 #s(literal -9/16 binary64) a)
#s(literal -9/16 binary64)
(pow.f64 c #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c b)) (*.f64 c b))
(*.f64 #s(literal -3/8 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 c c)
(pow.f64 b #s(literal 7 binary64))
#s(literal 7 binary64)
(*.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 c (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c 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 #s(literal -1/3 binary64) a) (-.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) 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 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (*.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal 3/8 binary64) b) #s(literal 1/2 binary64))) b)) (neg.f64 a))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
#s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b))
#s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (*.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal 3/8 binary64) b) #s(literal 1/2 binary64))) b))
(/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)
(/.f64 (*.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal 3/8 binary64) b) #s(literal 1/2 binary64))) b)
(fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c)))
(*.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal 3/8 binary64) b) #s(literal 1/2 binary64)))
(/.f64 #s(literal 3/8 binary64) b)
#s(literal 3/8 binary64)
b
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b))
(*.f64 (*.f64 (*.f64 c a) a) (/.f64 c b))
(*.f64 a a)
(/.f64 (*.f64 c c) b)
(*.f64 (/.f64 c b) c)
(*.f64 c c)
c
(*.f64 #s(literal 1/2 binary64) (*.f64 a c))
(*.f64 (*.f64 c a) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 a c)
(*.f64 c a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (*.f64 (*.f64 c a) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) c (*.f64 #s(literal -3/2 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 a #s(literal 3 binary64)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (*.f64 (*.f64 c a) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) c (*.f64 #s(literal -3/2 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (*.f64 (*.f64 c a) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) c (*.f64 #s(literal -3/2 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 c a) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) c (*.f64 #s(literal -3/2 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c))))
(*.f64 (*.f64 c a) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) c (*.f64 #s(literal -3/2 binary64) (*.f64 b b))))
(*.f64 #s(literal -9/8 binary64) (*.f64 a a))
#s(literal -9/8 binary64)
(*.f64 a a)
a
(*.f64 c c)
c
(*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(*.f64 a (*.f64 (*.f64 b b) c))
(*.f64 (*.f64 (*.f64 b b) c) a)
(*.f64 (*.f64 b b) c)
(*.f64 b b)
b
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))

localize446.0ms (4%)

Memory
41.6MiB live, 536.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.328125
(*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))
accuracy0.34603500976844204
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
accuracy0.3756637695368841
(/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))
accuracy2.2791100316848576
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))))
accuracy0.25390625
(/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)
accuracy0.35546875
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b))
accuracy0.38671875
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
accuracy2.2824668208986694
#s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b))
accuracy0.07650375976844202
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.25
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
accuracy0.328125
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)
accuracy52.768809866610866
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0
(/.f64 #s(literal -1/2 binary64) b)
accuracy0.26171875
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
accuracy5.788923494746458
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
accuracy0.3522262695368841
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))
accuracy0.359375
(*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))
accuracy0.38509750976844204
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))
accuracy1.1594644066439659
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Samples
334.0ms210×1valid
28.0ms46×0valid
Compiler

Compiled 615 to 100 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 305.0ms
ival-mult: 98.0ms (32.1% of total)
ival-div: 88.0ms (28.8% of total)
ival-pow: 38.0ms (12.4% of total)
ival-add: 28.0ms (9.2% of total)
adjust: 27.0ms (8.8% of total)
const: 8.0ms (2.6% of total)
ival-sub: 7.0ms (2.3% of total)
ival-sqrt: 7.0ms (2.3% of total)
exact: 2.0ms (0.7% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series215.0ms (1.9%)

Memory
-35.1MiB live, 180.9MiB allocated
Counts
27 → 900
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) (patch #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) #<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 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) (patch (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b))) (patch (*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) a) (patch (/.f64 #s(literal -1 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)) (patch #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (patch (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))) (patch #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) (patch (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) (patch (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 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 a a) (/.f64 (*.f64 c c) b)) (patch (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b) (patch (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c))) (patch (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c))) #<representation binary64>) () ())
Outputs
#s(alt (* -3/8 (* (pow b 2) (pow c 2))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c 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)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
32.0ms
c
@0
((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (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))) (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (+ (* (* -3 c) a) (* b b)) (* (* a a) (/ (* c c) b)) (/ (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) b) (/ (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (pow b 3)) (* -3/2 (* a (* (* b b) c))))
19.0ms
c
@inf
((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (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))) (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (+ (* (* -3 c) a) (* b b)) (* (* a a) (/ (* c c) b)) (/ (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) b) (/ (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (pow b 3)) (* -3/2 (* a (* (* b b) c))))
12.0ms
b
@inf
((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (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))) (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (+ (* (* -3 c) a) (* b b)) (* (* a a) (/ (* c c) b)) (/ (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) b) (/ (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (pow b 3)) (* -3/2 (* a (* (* b b) c))))
8.0ms
a
@-inf
((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (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))) (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (+ (* (* -3 c) a) (* b b)) (* (* a a) (/ (* c c) b)) (/ (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) b) (/ (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (pow b 3)) (* -3/2 (* a (* (* b b) c))))
7.0ms
c
@-inf
((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (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))) (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (+ (* (* -3 c) a) (* b b)) (* (* a a) (/ (* c c) b)) (/ (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) b) (/ (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (pow b 3)) (* -3/2 (* a (* (* b b) c))))

simplify261.0ms (2.3%)

Memory
31.5MiB live, 223.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114518739
1376018632
0839917831
Stop Event
iter limit
node limit
Counts
900 → 897
Calls
Call 1
Inputs
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (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))))
(* -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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -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)))))
(* -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))))))))
(* 1/2 (* a c))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))
(* -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 (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(* -3/2 (* a (* (pow b 2) c)))
(* c (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))))
(* c (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))))
(* c (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) 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 (/ (* 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))))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 4) (pow c 2)))
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4))))
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4))))
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4))))
(* -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)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 1/2 (/ (* a c) b))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a 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)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -9/16 (* a (pow c 3)))
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c))))
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c))))
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) 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)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3))))))
(* -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)))))
(* 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))))))
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
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(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a c))))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a 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 (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c)))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c))))))
(* -9/8 (* (pow a 2) (pow c 2)))
(* (pow c 2) (+ (* -3/2 (/ (* a (pow b 2)) c)) (* -9/8 (pow a 2))))
(* (pow c 2) (+ (* -3/2 (/ (* a (pow b 2)) c)) (* -9/8 (pow a 2))))
(* (pow c 2) (+ (* -3/2 (/ (* a (pow b 2)) c)) (* -9/8 (pow a 2))))
(* 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 (* 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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c))))
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c))))
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c))))
(* -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)))))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ a (* b c)))))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ a (* b c)))))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ a (* b c)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -9/16 (* a (pow c 3)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 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)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c))))
(* -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))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* -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))))))))
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a c))))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a c))))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a c))))
(* -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 (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -9/8 (* (pow a 2) (pow c 2)))
(* (pow c 2) (+ (* -3/2 (/ (* a (pow b 2)) c)) (* -9/8 (pow a 2))))
(* (pow c 2) (+ (* -3/2 (/ (* a (pow b 2)) c)) (* -9/8 (pow a 2))))
(* (pow c 2) (+ (* -3/2 (/ (* a (pow b 2)) c)) (* -9/8 (pow a 2))))
(* -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 (* 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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2))))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2))))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2))))))
(* -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))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) 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))))
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ a (* b c)))))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ a (* b c)))))
(* (pow c 2) (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ a (* b c)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -9/16 (* a (pow c 3)))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(* 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)))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(* 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)))))))))
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(/ (+ (* 3/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b 2) c)))) (pow b 2))
(/ (+ (* 3/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b 2) c)))) (pow b 2))
(/ (+ (* 3/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b 2) c)))) (pow b 2))
(* 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)))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))
(* -9/8 (* (pow a 2) (pow c 2)))
(+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2))))
(+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2))))
(+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2))))
(* 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)) (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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/ (+ (* 3/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b 2) c)))) (pow b 3))
(/ (+ (* 3/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b 2) c)))) (pow b 3))
(/ (+ (* 3/8 (* (pow a 2) (pow c 2))) (* 1/2 (* a (* (pow b 2) c)))) (pow b 3))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 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)
(* -1/2 (/ 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)
(/ (+ (* -135/128 (/ (* (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)))))) b)
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(* -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)))))))
(* 1/2 (* a c))
(+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c)))
(+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c)))
(+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* 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)
(* 1/2 (/ (* a c) b))
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* -3/2 (* a (* (pow b 2) c)))
(* (pow b 2) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (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)
(* -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)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 4) (pow c 2)))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(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 a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 1/2 (/ (* a c) b))
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 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 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -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))))))))
(* 1/2 (* a c))
(+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c)))
(+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c)))
(+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a 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)))))))
(* 2/3 b)
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3)))
(* -3/2 (* a (* (pow b 2) c)))
(* (pow b 2) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))
(* (pow b 2) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (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)))))))
(* -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))))))))
(* -3/2 (/ (* a c) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 2) (pow c 2)))
(* -3/8 (* (pow b 4) (pow c 2)))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(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 a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 1/2 (/ (* a c) b))
(* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -3/2 (/ (* a c) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/8 (* (pow b 2) (pow c 2)))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 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)))))))
(* -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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (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))) (* -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 (* a c))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 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 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* 1/2 (/ (* a c) b))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))))
(* -3/2 (* a (* (pow b 2) c)))
(* a (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))))
(* a (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 2)))))
(* a (+ (* -3/2 (* (pow b 2) c)) (* -9/8 (* a (pow c 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)))))))
(* -3/2 (/ (* 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))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* -3/8 (* (pow b 4) (pow c 2)))
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2))))
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2))))
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (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 a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 1/2 (/ (* a c) b))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c 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)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -9/16 (* a (pow c 3)))
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a))))
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a))))
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) 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))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))
(* -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))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 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))))))
(* 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))))))
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c 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 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a)))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a))))))
(* -9/8 (* (pow a 2) (pow c 2)))
(* (pow a 2) (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))))
(* (pow a 2) (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))))
(* (pow a 2) (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 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))))))
(* (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)))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a))))
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a))))
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 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))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (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)))
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -9/16 (* a (pow c 3)))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3)))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3)))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 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)))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -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))))
(* -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))))))))
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))
(* (pow a 2) (+ (* 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)))))
(/ -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 (/ (+ (* 1/6 (* (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 (* 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)))))))
(* -9/8 (* (pow a 2) (pow c 2)))
(* (pow a 2) (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))))
(* (pow a 2) (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))))
(* (pow a 2) (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))))
(* -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 (* 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))))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(* -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))))
(* -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))))
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(/ (* (pow a 2) (pow c 2)) b)
(* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))
(* (pow a 2) (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
(* -3/2 (* a (* (pow b 2) c)))
Outputs
(* -3/8 (* (pow b 2) (pow c 2)))
(*.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 c c))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 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 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #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 (pow.f64 b #s(literal 3 binary64))) #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 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #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 (pow.f64 b #s(literal 3 binary64))) #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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -3/8 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* (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) (pow.f64 b #s(literal 3 binary64)))) (*.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) (pow.f64 b #s(literal 3 binary64)))) (*.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) (pow.f64 b #s(literal 3 binary64)))) (*.f64 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 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #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 (pow.f64 b #s(literal 3 binary64))) #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 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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))
(* -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 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #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 (pow.f64 b #s(literal 3 binary64))) #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)
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(/ -1 a)
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(/ -1 a)
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(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -9/8 (* (pow a 2) (pow c 2)))
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(* (pow a 2) (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))))
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(* (pow a 2) (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.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))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
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(* -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))))))
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(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(*.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 b b)))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a)) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a)) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a)) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64))
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5))))))
(*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a 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))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 a))) (*.f64 a 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))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (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))))
(/ (* (pow a 2) (pow c 2)) b)
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b))
(/ (* (pow a 2) (pow c 2)) b)
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b))
(/ (* (pow a 2) (pow c 2)) b)
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b))
(/ (* (pow a 2) (pow c 2)) b)
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(*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(* -3/2 (* a (* (pow b 2) c)))
(*.f64 (*.f64 (*.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64))
(* -3/2 (* a (* (pow b 2) c)))
(*.f64 (*.f64 (*.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64))
(* -3/2 (* a (* (pow b 2) c)))
(*.f64 (*.f64 (*.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64))
(* -3/2 (* a (* (pow b 2) c)))
(*.f64 (*.f64 (*.f64 c (*.f64 b b)) a) #s(literal -3/2 binary64))

rewrite195.0ms (1.8%)

Memory
-20.3MiB live, 135.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111745
0161745
1600695
24701695
08429681
Stop Event
iter limit
node limit
iter limit
Counts
27 → 524
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))
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(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c)))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(literal -1 binary64) a)
#s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b))
(fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))
(*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b))
(/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64)))
(*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))
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eval273.0ms (2.5%)

Memory
25.4MiB live, 253.5MiB allocated
Compiler

Compiled 43 444 to 4 333 computations (90% saved)

prune125.0ms (1.1%)

Memory
1.5MiB live, 163.5MiB allocated
Pruning

43 alts after pruning (38 fresh and 5 done)

PrunedKeptTotal
New1 400211 421
Fresh171734
Picked235
Done022
Total1 419431 462
Accuracy
99.9%
Counts
1 462 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
17.4%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
17.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) 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))
17.5%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
95.6%
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
95.6%
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 b (-.f64 (fma.f64 (/.f64 #s(literal -9/2 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)))) (*.f64 #s(literal 3/2 binary64) (*.f64 a c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
95.7%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64))
90.5%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
18.0%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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)))
17.4%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
17.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
17.4%
(/.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))
17.5%
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) a)
90.5%
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
95.9%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
97.3%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.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 (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)) #s(literal 3 binary64))
90.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
95.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
95.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
95.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
90.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
95.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
95.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 #s(approx (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (*.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
17.5%
(/.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)))
17.2%
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
17.2%
(-.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))))
17.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
18.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
17.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
95.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
90.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
90.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
96.4%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
97.3%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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))
97.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a)) (*.f64 b b))))) a)))
98.1%
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.7%
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (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) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
96.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a)) (*.f64 b b))))) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a)) (*.f64 b b))))) a)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a)) (*.f64 b b))))) a) #s(literal 2 binary64)))))
90.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
90.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
96.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64) (*.f64 (*.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (*.f64 b b))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))))
Compiler

Compiled 2 062 to 1 372 computations (33.5% saved)

simplify183.0ms (1.6%)

Memory
11.7MiB live, 125.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b)))))
cost-diff0
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b))
cost-diff0
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
cost-diff320
(fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a 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))) a)
cost-diff384
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64))
cost-diff1408
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
cost-diff0
(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) (*.f64 a #s(literal 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 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))
cost-diff0
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109953
0157949
1302918
2639918
31410901
42407901
53172901
64461901
75719901
08016887
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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)))))
(*.f64 #s(literal -135/128 binary64) (*.f64 a a))
#s(literal -135/128 binary64)
(*.f64 a a)
a
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))
(*.f64 b b)
b
#s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)))
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))
(fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))
(*.f64 a c)
#s(literal -9/16 binary64)
(*.f64 (*.f64 b b) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 c c)
(pow.f64 b #s(literal 7 binary64))
#s(literal 7 binary64)
(*.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 #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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 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
a
(*.f64 b b)
b
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(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 b a) #s(literal 3 binary64))
(/.f64 b a)
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b))
#s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b)))))
(*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))
c
(fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64))
(/.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal -27/8 binary64)
(*.f64 #s(literal -3/2 binary64) (*.f64 a b))
#s(literal -3/2 binary64)
(*.f64 a b)
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
Outputs
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)))))
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b)))
(*.f64 #s(literal -135/128 binary64) (*.f64 a a))
(*.f64 (*.f64 a a) #s(literal -135/128 binary64))
#s(literal -135/128 binary64)
(*.f64 a a)
a
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))
(*.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)))
#s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c))
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)
(fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))
(*.f64 a c)
(*.f64 c a)
#s(literal -9/16 binary64)
(*.f64 (*.f64 b b) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(*.f64 c c)
(pow.f64 b #s(literal 7 binary64))
#s(literal 7 binary64)
(*.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 #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 c b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
#s(literal -1/2 binary64)
(/.f64 b c)
b
c
(/.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 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) 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
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b 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 -3 binary64) a))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
(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 b a) #s(literal 3 binary64))
(/.f64 b a)
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a 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(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -27/8 binary64) (*.f64 #s(literal -3/2 binary64) b))) c)) (*.f64 (*.f64 a b) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -27/8 binary64) (*.f64 #s(literal -3/2 binary64) b))) c)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))
#s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b)))))
#s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -27/8 binary64) (*.f64 #s(literal -3/2 binary64) b))) c))
(*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))
(*.f64 (*.f64 a (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -27/8 binary64) (*.f64 #s(literal -3/2 binary64) b))) c)
c
(fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 a (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -27/8 binary64) (*.f64 #s(literal -3/2 binary64) b)))
(*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64))
(*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b))
(/.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(literal -27/8 binary64)
(*.f64 #s(literal -3/2 binary64) (*.f64 a b))
(*.f64 (*.f64 a b) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(*.f64 a b)
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))
(fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))

localize570.0ms (5.1%)

Memory
-8.8MiB live, 549.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.3359375
(*.f64 #s(literal -3/2 binary64) (*.f64 a b))
accuracy0.34603500976844204
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
accuracy0.39681625976844204
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b))
accuracy2.2818991399969595
#s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b)))))
accuracy0.08203125
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)
accuracy0.234375
(/.f64 (/.f64 b a) #s(literal 3 binary64))
accuracy0.2734375
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64))
accuracy52.831241504694496
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
accuracy0.0390625
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
accuracy0.07650375976844202
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
accuracy0.34603500976844204
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
accuracy52.768809866610866
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)
accuracy0
(/.f64 b c)
accuracy0.2578125
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
accuracy5.788923494746458
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
accuracy0.3522262695368841
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))
accuracy0.359375
(*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))
accuracy0.4131050293053261
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))
accuracy1.1594644066439659
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Samples
440.0ms217×1valid
25.0ms39×0valid
Compiler

Compiled 667 to 103 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 407.0ms
ival-div: 124.0ms (30.5% of total)
ival-mult: 109.0ms (26.8% of total)
adjust: 81.0ms (19.9% of total)
ival-add: 32.0ms (7.9% of total)
ival-pow: 26.0ms (6.4% of total)
ival-sqrt: 14.0ms (3.4% of total)
ival-sub: 9.0ms (2.2% of total)
ival-pow2: 4.0ms (1% of total)
const: 4.0ms (1% of total)
exact: 2.0ms (0.5% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series122.0ms (1.1%)

Memory
-6.3MiB live, 185.6MiB allocated
Counts
22 → 744
Calls
Call 1
Inputs
#s(alt #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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) (patch #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) #<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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<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 (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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) (patch (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 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))) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())
#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) (patch (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)))) (patch (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 b a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 b a) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) #<representation binary64>) () ())
Outputs
#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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf 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 (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf 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 (- (+ (* 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 (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 (- (+ (* -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 (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 (* a c)) (sqrt -3)) (taylor inf c) (#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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#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 (* 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))))) (taylor inf c) (#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 (* 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)))))) (taylor inf c) (#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 (* -3 (* a c)) (taylor inf c) (#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 (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#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 (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#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 (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#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 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) (patch (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) #<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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) (patch (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 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 (/ b (* a c))))) (taylor inf c) (#s(alt (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) (patch (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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 (/ b (* a c))))) (taylor inf c) (#s(alt (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) (patch (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (* -27/8 (/ (* (pow a 2) c) b)) (taylor inf c) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -27/8 (/ (pow a 2) b)) (* -3/2 (/ (* a b) c)))) (taylor inf c) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -27/8 (/ (pow a 2) b)) (* -3/2 (/ (* a b) c)))) (taylor inf c) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -27/8 (/ (pow a 2) b)) (* -3/2 (/ (* a b) c)))) (taylor inf c) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (taylor inf c) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))) (taylor inf c) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) (patch (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
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#s(alt (+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) (taylor 0 b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (* -27/8 (/ (* (pow a 2) c) b)) (taylor 0 b) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/8 (* (pow a 2) c)) (* -3/2 (* a (pow b 2)))) b) (taylor 0 b) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/8 (* (pow a 2) c)) (* -3/2 (* a (pow b 2)))) b) (taylor 0 b) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/8 (* (pow a 2) c)) (* -3/2 (* a (pow b 2)))) b) (taylor 0 b) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3))))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 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))))))))))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* 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)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* a (* b (* c (sqrt -9)))) (taylor 0 b) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) (taylor 0 b) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) (taylor 0 b) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) (taylor 0 b) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (* -9/16 (* a (pow c 3))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) (patch (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ b a)) (taylor inf b) (#s(alt (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (* 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))) (/ 1 a))))) (taylor inf b) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a b)) (taylor inf b) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -27/8 (/ (* (pow a 2) c) (pow b 2))) (* -3/2 a))) (taylor inf b) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -27/8 (/ (* (pow a 2) c) (pow b 2))) (* -3/2 a))) (taylor inf b) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -27/8 (/ (* (pow a 2) c) (pow b 2))) (* -3/2 a))) (taylor inf b) (#s(alt (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) (patch (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* 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)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow 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)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* 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))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -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) (taylor inf b) (#s(alt (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a (* b c))) (taylor inf b) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (* b (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) (taylor inf b) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) (taylor inf b) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -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))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) (taylor inf b) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))) (taylor -inf a) (#s(alt #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (patch #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 b a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 b a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 b a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 b a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 b a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 b a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 (/.f64 b a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 b a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a b)) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a b)) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a b)) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a b)) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) (patch (*.f64 #s(literal -3/2 binary64) (*.f64 a b)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
13.0ms
c
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (- (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (/ b a) 3)) (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (/ b a) 3) (* -3/2 (* a b)))
8.0ms
a
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (- (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (/ b a) 3)) (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (/ b a) 3) (* -3/2 (* a b)))
6.0ms
b
@0
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (- (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (/ b a) 3)) (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (/ b a) 3) (* -3/2 (* a b)))
6.0ms
b
@inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (- (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (/ b a) 3)) (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (/ b a) 3) (* -3/2 (* a b)))
6.0ms
a
@-inf
((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (- (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (/ b a) 3)) (/ (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) 3) (/ (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ (/ b a) 3) (* -3/2 (* a b)))

simplify267.0ms (2.4%)

Memory
3.4MiB live, 413.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0213223029
1593622870
0804921963
Stop Event
iter limit
node limit
Counts
744 → 741
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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(* -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)))))
(* -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)))))
(* -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 (/ (* 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))))))))
(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))))
(* 1/3 (/ b a))
(+ (* -1/2 (/ c b)) (* 1/3 (/ b a)))
(+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))
(+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(/ b a)
(+ (* -3/2 (/ c b)) (/ b a))
(+ (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) (/ b a))
(+ (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) (/ b a))
(* -3/2 (* a b))
(+ (* -27/8 (/ (* (pow a 2) c) b)) (* -3/2 (* a b)))
(+ (* -27/8 (/ (* (pow a 2) c) b)) (* -3/2 (* a b)))
(+ (* -27/8 (/ (* (pow a 2) c) b)) (* -3/2 (* a b)))
(* -1/2 (/ c b))
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 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)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 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))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* -3/2 (* a (* b c)))
(* c (- (* c (- (* -9/2 (/ (pow a 2) b)) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b))))
(* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* -27/16 (/ (* (pow a 3) c) (pow b 3)))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b))))
(* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 5))) (* -1/2 (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 3)))))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b))))
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2))))
(* -3/8 (* (pow b 4) (pow c 2)))
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4))))
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4))))
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4))))
(* 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)))))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c)))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))))
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3))))))
(* -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 (/ (* (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)))))
(* -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)))))))
(/ b c)
(/ b c)
(/ b c)
(/ 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 (* 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))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (- (+ (* 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 (/ b (* a c)))))
(* 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 (/ b (* a c)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* 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 (+ (* -1/24 (* (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))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
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(* -27/8 (/ (* (pow a 2) c) b))
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(* -9/16 (* a (pow c 3)))
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(* -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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(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
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(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
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(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c))))
(* -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))))))
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(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -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 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) 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))))
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(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* -27/8 (/ (* (pow a 2) c) b))
(* -1 (* c (+ (* 3/2 (/ (* a b) c)) (* 27/8 (/ (pow a 2) b)))))
(* -1 (* c (+ (* 3/2 (/ (* a b) c)) (* 27/8 (/ (pow a 2) b)))))
(* -1 (* c (+ (* 3/2 (/ (* a b) c)) (* 27/8 (/ (pow a 2) b)))))
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))))
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)))
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))))
(* -1 (* c (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))
(* -1 (* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))))
(* -9/16 (* a (pow c 3)))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a))))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2))))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2))))))
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2))))))
(* 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)))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7)))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7))
(* -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 (* 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)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* 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)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -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))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* -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)))))))
(+ (* (sqrt (/ c a)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(* -27/8 (/ (* (pow a 2) c) b))
(/ (+ (* -27/8 (* (pow a 2) c)) (* -3/2 (* a (pow b 2)))) b)
(/ (+ (* -27/8 (* (pow a 2) c)) (* -3/2 (* a (pow b 2)))) b)
(/ (+ (* -27/8 (* (pow a 2) c)) (* -3/2 (* a (pow b 2)))) b)
(* 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)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))))
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 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)))))))))))))
(* (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))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (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)))) (* 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))))
(* a (* b (* c (sqrt -9))))
(* b (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9)))))
(* b (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3))))))
(* b (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3))))))
(* -9/16 (* a (pow c 3)))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a 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)
(* -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)
(/ (+ (* -135/128 (/ (* (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)))))) b)
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3))
(* -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 (/ (* 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)))))))
(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)
(* 1/3 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a)))))
(* 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))) (* 1/3 (/ 1 a))))))
(/ b a)
(* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* 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))) (/ 1 a)))))
(* -3/2 (* a b))
(* b (+ (* -27/8 (/ (* (pow a 2) c) (pow b 2))) (* -3/2 a)))
(* b (+ (* -27/8 (/ (* (pow a 2) c) (pow b 2))) (* -3/2 a)))
(* b (+ (* -27/8 (/ (* (pow a 2) c) (pow b 2))) (* -3/2 a)))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b)
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b)
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* 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)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b)
(* -3/2 (/ (* a c) b))
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow 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)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* 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))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -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)
(* -3/2 (* a (* b c)))
(* b (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))))
(* b (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))))
(* b (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -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))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))))
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* -3/8 (* (pow b 4) (pow c 2)))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a 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)))))))
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3)))
(* -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)
(* -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))))))))
(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)))))))
(* -1/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 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))) (* 1/3 (/ 1 a)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 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))) (/ 1 a))))))
(* -3/2 (* a b))
(* -1 (* b (+ (* 3/2 a) (* 27/8 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* 3/2 a) (* 27/8 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* 3/2 a) (* 27/8 (/ (* (pow a 2) c) (pow b 2))))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (+ (* -1/3 (/ (- (+ (* -9 (* a (pow c 2))) (* 9 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* 9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (+ (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (+ (* 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) (* 3 c)) (pow b 2))) (+ (* -1/3 (/ (- (+ (* -9 (* a (pow c 2))) (* 9 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -2 b)
(* -1 (* b (+ 2 (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2)))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (+ (* -3/2 (* a (* c (- (* 9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))))) (+ (* 3/4 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow 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)) (* 3 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2)))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 4))))))))
(* 2 (pow b 3))
(* -1 (* (pow b 3) (- (* -3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* (pow b 3) (- (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))))
(* -1 (* (pow b 3) (- (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))))
(* -3/8 (* (pow b 2) (pow c 2)))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* -3/8 (* (pow b 4) (pow c 2)))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a 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)))))))
(* -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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5))))))
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (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))) (* -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 (/ (* 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))))))))
(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)))))))
(* 1/3 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) a)
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)
(/ b a)
(/ (+ b (* -3/2 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* 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 (* a b))
(* a (+ (* -27/8 (/ (* a c) b)) (* -3/2 b)))
(* a (+ (* -27/8 (/ (* a c) b)) (* -3/2 b)))
(* a (+ (* -27/8 (/ (* a c) b)) (* -3/2 b)))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 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))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
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(* 1/3 (/ b a))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
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(* (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)))))
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(* -3 (* a c))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* (sqrt (/ c a)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))
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(* -27/8 (/ (* (pow a 2) c) b))
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(* (pow a 2) (+ (* -27/8 (/ c b)) (* -3/2 (/ b a))))
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)))
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(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))
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(* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))
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(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))))
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))))
(* -9/16 (* a (pow c 3)))
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a))))
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a))))
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a))))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a))))
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a))))
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a 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)))))
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7)))
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7))))))
(* -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 (/ (* (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))))
(* -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 (* 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))
(* -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)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))
(* -27/8 (/ (* (pow a 2) c) b))
(* (pow a 2) (+ (* -27/8 (/ c b)) (* -3/2 (/ b a))))
(* (pow a 2) (+ (* -27/8 (/ c b)) (* -3/2 (/ b a))))
(* (pow a 2) (+ (* -27/8 (/ c b)) (* -3/2 (/ b a))))
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))))
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))))
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)))
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))))
(* -1 (* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))
(* -1 (* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))))
(* -9/16 (* a (pow c 3)))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3)))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3)))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3)))))
(* -9/16 (* a (* (pow b 2) (pow c 3))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3))))))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* 1/3 (/ b a))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a b))
(* -3/2 (* a 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 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.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 (pow.f64 b #s(literal 3 binary64))))) (/.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 (/.f64 #s(literal -1/6 binary64) a) (*.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)) (/.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 (pow.f64 b #s(literal 3 binary64))))) (/.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 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.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 (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.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 (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) b)))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* (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 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* (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 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* -3/8 (/ (pow c 2) (pow b 3)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3)))))
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* (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 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* (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 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c 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 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.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 (pow.f64 b #s(literal 3 binary64))))) (/.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 (/.f64 #s(literal -1/6 binary64) a) (*.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)) (/.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 (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) b)))
(/ 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 #s(literal -1/2 binary64) (/.f64 c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.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 (pow.f64 b #s(literal 3 binary64))))) (/.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))))
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(* -1 (* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))
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(* -9/16 (* a (pow c 3)))
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(* 1/3 (/ b a))
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(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* 1/3 (/ b a))
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(* -3/2 (* a b))
(*.f64 #s(literal -3/2 binary64) (*.f64 a b))
(* -3/2 (* a b))
(*.f64 #s(literal -3/2 binary64) (*.f64 a b))
(* -3/2 (* a b))
(*.f64 #s(literal -3/2 binary64) (*.f64 a b))
(* -3/2 (* a b))
(*.f64 #s(literal -3/2 binary64) (*.f64 a b))

rewrite224.0ms (2%)

Memory
22.1MiB live, 170.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109696
0157692
1652661
25109661
09144652
Stop Event
iter limit
node limit
iter limit
Counts
22 → 577
Calls
Call 1
Inputs
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(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b))
#s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b)))))
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))
(*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))
(/.f64 (/.f64 b a) #s(literal 3 binary64))
(*.f64 #s(literal -3/2 binary64) (*.f64 a b))
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eval266.0ms (2.4%)

Memory
-31.6MiB live, 296.9MiB allocated
Compiler

Compiled 51 873 to 4 928 computations (90.5% saved)

prune102.0ms (0.9%)

Memory
7.4MiB live, 170.5MiB allocated
Pruning

52 alts after pruning (46 fresh and 6 done)

PrunedKeptTotal
New1 434191 453
Fresh62733
Picked325
Done145
Total1 444521 496
Accuracy
100.0%
Counts
1 496 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)))
18.0%
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
17.4%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
17.3%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) 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))
17.5%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64))
95.7%
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c #s(approx (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/.f64 (fma.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 a a) c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))) b)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
95.6%
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 b (-.f64 (fma.f64 (/.f64 #s(literal -9/2 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)))) (*.f64 #s(literal 3/2 binary64) (*.f64 a c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
95.7%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64))
90.5%
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 binary64))
18.0%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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)))
17.2%
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 b a)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))
17.4%
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
17.2%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal -9 binary64))
17.3%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
17.7%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 3 binary64) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
17.2%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) b)) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)))
17.5%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
17.5%
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) b) (*.f64 a #s(literal 3 binary64)))
13.6%
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
95.5%
(/.f64 (*.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))
17.5%
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) a)
90.5%
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
95.9%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
97.3%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.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 (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)) #s(literal 3 binary64))
90.8%
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
95.5%
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))))
95.8%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
95.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
95.7%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
90.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
95.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 #s(approx (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (*.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
17.5%
(/.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)))
95.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c))) (*.f64 a #s(literal 3 binary64))))
16.9%
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (*.f64 b #s(literal 1/3 binary64)) a))
17.2%
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))
18.2%
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal 1/9 binary64))
17.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
19.1%
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
18.0%
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
17.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))
95.8%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
90.5%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
90.6%
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
96.4%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
97.3%
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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))
97.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a)))
97.7%
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (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) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
97.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (neg.f64 b) c) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a)))
96.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 2 binary64)))))
90.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))
91.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
90.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 3 844 to 1 455 computations (62.1% saved)

regimes272.0ms (2.4%)

Memory
5.9MiB live, 120.8MiB allocated
Counts
91 → 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)))
(/.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 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) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #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 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) b) (*.f64 a #s(literal 3 binary64)))
(/.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))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(-.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 #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 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal 1/9 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (*.f64 b #s(literal 1/3 binary64)) a))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal -9 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 c (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
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#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 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 2 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a)) (*.f64 b b))))) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a)) (*.f64 b b))))) a)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a)) (*.f64 b b))))) a) #s(literal 2 binary64)))))
Outputs
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

5 calls:

139.0ms
a
53.0ms
c
29.0ms
(*.f64 #s(literal 3 binary64) a)
24.0ms
b
22.0ms
(/.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
98.1%1a
98.1%1b
98.1%1c
98.1%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))
98.1%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes112.0ms (1%)

Memory
30.8MiB live, 146.0MiB allocated
Counts
74 → 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)))
(/.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 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) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #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 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) b) (*.f64 a #s(literal 3 binary64)))
(/.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))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(-.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 #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 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal 1/9 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (*.f64 b #s(literal 1/3 binary64)) a))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal -9 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 c (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (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)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))))
(/.f64 (*.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c #s(approx (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/.f64 (fma.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 a a) c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b 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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 3 binary64) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 b (-.f64 (fma.f64 (/.f64 #s(literal -9/2 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)))) (*.f64 #s(literal 3/2 binary64) (*.f64 a c))))) (*.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) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) b)) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 #s(approx (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (*.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) 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))
#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 (pow.f64 b #s(literal 3 binary64))) #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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (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) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.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 (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a)))
Calls

5 calls:

26.0ms
c
23.0ms
b
20.0ms
a
20.0ms
(*.f64 #s(literal 3 binary64) a)
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
97.8%1a
97.8%1b
97.8%1c
97.8%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))
97.8%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes278.0ms (2.5%)

Memory
-49.9MiB live, 124.2MiB allocated
Counts
73 → 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)))
(/.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 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) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #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 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) b) (*.f64 a #s(literal 3 binary64)))
(/.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))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(-.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 #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 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal 1/9 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (*.f64 b #s(literal 1/3 binary64)) a))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal -9 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 c (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (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)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))))
(/.f64 (*.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c #s(approx (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/.f64 (fma.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 a a) c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b 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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 3 binary64) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 b (-.f64 (fma.f64 (/.f64 #s(literal -9/2 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)))) (*.f64 #s(literal 3/2 binary64) (*.f64 a c))))) (*.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) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) b)) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 #s(approx (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (*.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) 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))
#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 (pow.f64 b #s(literal 3 binary64))) #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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (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) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.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 (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
Calls

5 calls:

29.0ms
b
28.0ms
c
20.0ms
(*.f64 #s(literal 3 binary64) a)
20.0ms
a
18.0ms
(/.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
97.7%1a
97.7%1b
97.7%1c
97.7%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))
97.7%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes118.0ms (1.1%)

Memory
38.6MiB live, 112.7MiB allocated
Counts
72 → 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)))
(/.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 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) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #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 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) b) (*.f64 a #s(literal 3 binary64)))
(/.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))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(-.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 #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 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal 1/9 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (*.f64 b #s(literal 1/3 binary64)) a))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal -9 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 c (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (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)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))))
(/.f64 (*.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c #s(approx (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/.f64 (fma.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 a a) c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b 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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 3 binary64) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 b (-.f64 (fma.f64 (/.f64 #s(literal -9/2 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)))) (*.f64 #s(literal 3/2 binary64) (*.f64 a c))))) (*.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) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) b)) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 #s(approx (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (*.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) 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))
#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 (pow.f64 b #s(literal 3 binary64))) #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 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (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) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (*.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.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 (pow.f64 b #s(literal 3 binary64))))) c (/.f64 #s(literal -3/2 binary64) b)) c)) #s(literal 3 binary64))
Outputs
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

5 calls:

36.0ms
c
21.0ms
(*.f64 #s(literal 3 binary64) a)
20.0ms
b
19.0ms
a
18.0ms
(/.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
97.7%1a
97.7%1b
97.7%1c
97.7%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))
97.7%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes173.0ms (1.6%)

Memory
-22.8MiB live, 133.3MiB allocated
Counts
68 → 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)))
(/.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 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) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #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 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) b) (*.f64 a #s(literal 3 binary64)))
(/.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))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(-.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 #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 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal 1/9 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (*.f64 b #s(literal 1/3 binary64)) a))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal -9 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 c (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (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)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))))
(/.f64 (*.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c #s(approx (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/.f64 (fma.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 a a) c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b 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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 3 binary64) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 b (-.f64 (fma.f64 (/.f64 #s(literal -9/2 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)))) (*.f64 #s(literal 3/2 binary64) (*.f64 a c))))) (*.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) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) b)) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 #s(approx (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (*.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) 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))
#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 (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
Outputs
#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 (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c))
Calls

5 calls:

48.0ms
(*.f64 #s(literal 3 binary64) a)
41.0ms
(/.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))
35.0ms
b
26.0ms
a
18.0ms
c
Results
AccuracySegmentsBranch
97.3%1a
97.3%1b
97.3%1c
97.3%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))
97.3%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes116.0ms (1%)

Memory
20.5MiB live, 104.5MiB allocated
Counts
67 → 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)))
(/.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 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) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #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 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) b) (*.f64 a #s(literal 3 binary64)))
(/.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))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(-.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 #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 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal 1/9 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (*.f64 b #s(literal 1/3 binary64)) a))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal -9 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 c (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (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)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))))
(/.f64 (*.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c #s(approx (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/.f64 (fma.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 a a) c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b 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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 3 binary64) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 b (-.f64 (fma.f64 (/.f64 #s(literal -9/2 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)))) (*.f64 #s(literal 3/2 binary64) (*.f64 a c))))) (*.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) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) b)) (pow.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (/.f64 #s(approx (+ (* (* -9/8 (* a a)) (* c c)) (* -3/2 (* a (* (* b b) c)))) (*.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) 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))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
Calls

5 calls:

38.0ms
b
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))
18.0ms
a
18.0ms
c
18.0ms
(*.f64 #s(literal 3 binary64) a)
Results
AccuracySegmentsBranch
96.4%1a
96.4%1b
96.4%1(*.f64 #s(literal 3 binary64) a)
96.4%1c
96.4%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 23 to 26 computations (-13% saved)

regimes105.0ms (0.9%)

Memory
-12.3MiB live, 104.6MiB allocated
Counts
58 → 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)))
(/.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 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) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #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 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) b) (*.f64 a #s(literal 3 binary64)))
(/.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))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(-.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 #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 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal 1/9 binary64))
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (*.f64 b #s(literal 1/3 binary64)) a))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 a)) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 b a))) #s(literal -9 binary64))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b) (*.f64 #s(literal 1/2 binary64) c)) a)) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 a (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) c)))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 c (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) b) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (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)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64))
(/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))))
(/.f64 (*.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c)) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 a a) b)) c (*.f64 (*.f64 a b) #s(literal -3/2 binary64))) c))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c #s(approx (+ (* c (* (/ (* a a) b) -27/8)) (* -3/2 (* a b))) (/.f64 (fma.f64 #s(literal -27/8 binary64) (*.f64 (*.f64 a a) c) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b 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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 3 binary64) (/.f64 b a))) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 b a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
Calls

5 calls:

29.0ms
(*.f64 #s(literal 3 binary64) a)
24.0ms
c
18.0ms
b
16.0ms
a
14.0ms
(/.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
96.4%1c
96.4%1a
96.4%1b
96.4%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))
96.4%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes52.0ms (0.5%)

Memory
-9.3MiB live, 66.4MiB 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)))
(/.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 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 #s(approx (+ (* (/ 3/8 b) (* (* a a) (/ (* c c) b))) (* 1/2 (* a c))) (*.f64 #s(literal 1/2 binary64) (*.f64 a c))) b)))
(/.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))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) a) #s(literal 3 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) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #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 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:

24.0ms
b
9.0ms
c
6.0ms
(*.f64 #s(literal 3 binary64) a)
6.0ms
a
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))
Results
AccuracySegmentsBranch
91.0%1c
91.0%1a
91.0%1b
91.0%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))
91.0%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes7.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB 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 #s(literal 3 binary64) a)
1.0ms
a
1.0ms
c
1.0ms
b
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))
Results
AccuracySegmentsBranch
90.6%1c
90.6%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))
90.6%1b
90.6%1a
90.6%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 23 to 26 computations (-13% saved)

simplify28.0ms (0.2%)

Memory
19.3MiB live, 57.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123509
1149509
Stop Event
saturated
Calls
Call 1
Inputs
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) 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 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) 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 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.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 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #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
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))) (pow.f64 b #s(literal -7 binary64)))) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
#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))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) a) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
#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 (pow.f64 b #s(literal 3 binary64))) #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)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) c) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #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 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 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 (pow.f64 b #s(literal 3 binary64))) c) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #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))

soundness913.0ms (8.2%)

Memory
-17.1MiB live, 857.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109696
0157692
1652661
25109661
09144652
0209021615
1578021455
0807820658
080476
0138476
1503448
23820440
08299436
0114518739
1376018632
0839917831
04702458
114452441
248902418
080562302
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 259 to 163 computations (37.1% saved)

preprocess88.0ms (0.8%)

Memory
-10.1MiB live, 146.3MiB allocated
Compiler

Compiled 456 to 202 computations (55.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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