Cubic critical

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze150.0ms (2%)

Memory
12.8MiB live, 154.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.9s (25%)

Memory
14.3MiB live, 1 336.2MiB allocated
Samples
611.0ms5 594×0valid
351.0ms1 187×2valid
192.0ms1 308×1valid
101.0ms167×3valid
71.0ms952×0invalid
Precisions
Click to see histograms. Total time spent on operations: 856.0ms
ival-mult: 246.0ms (28.8% of total)
ival-div: 145.0ms (16.9% of total)
adjust: 134.0ms (15.7% of total)
ival-sqrt: 98.0ms (11.5% of total)
ival-add: 94.0ms (11% of total)
ival-sub: 62.0ms (7.2% of total)
ival-neg: 60.0ms (7% of total)
ival-true: 7.0ms (0.8% of total)
exact: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain189.0ms (2.5%)

Memory
21.8MiB live, 258.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1000-2(-5.609849424024361e-40 -6.62638031734235e-296 1.4776385150136803e-279)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
610-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
120-0-(/.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))
40-0-(-.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-(neg.f64 b)
00-0-b
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))oflow-rescue920
(*.f64 b b)overflow79
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow22
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow92
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation610
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))u/n120
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow32
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow6
(*.f64 b b)underflow44
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))underflow19
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))uflow-rescue60
(*.f64 b b)underflow44
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow32
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow6
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))nan-rescue40
(*.f64 b b)overflow79
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow22
Confusion
Predicted +Predicted -
+1241
-18113
Precision
0.8732394366197183
Recall
0.992
Confusion?
Predicted +Predicted MaybePredicted -
+12401
-180113
Precision?
0.8732394366197183
Recall?
0.992
Freqs
test
numberfreq
0114
1111
229
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms354×0valid
26.0ms66×2valid
20.0ms3valid
15.0ms88×1valid
Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
adjust: 25.0ms (36.9% of total)
ival-mult: 21.0ms (31% of total)
ival-sqrt: 6.0ms (8.8% of total)
ival-div: 5.0ms (7.4% of total)
ival-add: 4.0ms (5.9% of total)
ival-sub: 3.0ms (4.4% of total)
ival-neg: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess35.0ms (0.5%)

Memory
-17.7MiB live, 28.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049158
1156151
2460151
3896151
41339151
51537151
61643151
01217
02017
13617
28917
318017
429017
537917
641517
746317
046316
Stop Event
iter limit
saturated
iter limit
saturated
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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify9.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
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-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
02066
13666
28966
318066
429066
537966
641566
746366
046362
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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.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

localize68.0ms (0.9%)

Memory
12.3MiB live, 58.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.8046875000000001
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy3.1008773695817538
(/.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))
accuracy14.11689227211683
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy23.090641765262742
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Samples
43.0ms177×0valid
8.0ms33×2valid
7.0ms44×1valid
1.0ms3valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 6.0ms (30.9% of total)
adjust: 3.0ms (15.5% of total)
ival-sqrt: 3.0ms (15.5% of total)
ival-sub: 2.0ms (10.3% of total)
ival-div: 2.0ms (10.3% of total)
ival-add: 2.0ms (10.3% of total)
ival-neg: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
-15.9MiB live, 34.8MiB allocated
Counts
5 → 98
Calls
Call 1
Inputs
(-.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))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Outputs
(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)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -3 (* a c))
(* 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))))))
(* (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)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* 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 (* (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 (* 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))))))))
(- (pow b 2) (* 3 (* a c)))
(+ (* 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) (* (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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)) (* -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 (+ 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)))))))
(* -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 (* -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))))))))
(* 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))))
(* 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 (* 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))))))))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 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)))))))
(* 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)))
(* 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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -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 (* 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 (* 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))))))))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
a
@0
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms
c
@-inf
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms
a
@inf
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms
b
@inf
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms
a
@-inf
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify163.0ms (2.2%)

Memory
-24.5MiB live, 210.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05603023
119423000
080642850
Stop Event
iter limit
node limit
Counts
98 → 97
Calls
Call 1
Inputs
(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)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -3 (* a c))
(* 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))))))
(* (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)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* 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 (* (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 (* 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))))))))
(- (pow b 2) (* 3 (* a c)))
(+ (* 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) (* (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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)) (* -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 (+ 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)))))))
(* -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 (* -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))))))))
(* 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))))
(* 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 (* 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))))))))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 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)))))))
(* 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)))
(* 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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -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 (* 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 (* 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))))))))
Outputs
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.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)))
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(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c)))
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) b) (neg.f64 c))))
(* -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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -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))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite181.0ms (2.4%)

Memory
-7.6MiB live, 206.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
02051
16551
248350
3583349
0885345
Stop Event
iter limit
node limit
iter limit
Counts
5 → 383
Calls
Call 1
Inputs
(-.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))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (/.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))))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (hypot.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))

eval75.0ms (1%)

Memory
2.6MiB live, 93.5MiB allocated
Compiler

Compiled 17 801 to 2 122 computations (88.1% saved)

prune29.0ms (0.4%)

Memory
-3.4MiB live, 51.0MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New46216478
Fresh000
Picked101
Done000
Total46316479
Accuracy
93.2%
Counts
479 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.4%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a)
19.0%
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a))
53.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.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))
16.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))) (*.f64 #s(literal 3 binary64) a))
15.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a))
32.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
29.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
9.9%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a))
39.3%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
27.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
39.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
39.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
33.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
39.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Compiler

Compiled 854 to 584 computations (31.6% saved)

simplify256.0ms (3.4%)

Memory
27.8MiB live, 286.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(/.f64 b a)
cost-diff0
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
cost-diff0
(/.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))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052431
092431
1184428
2496428
31481428
43776428
56475428
08023428
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(/.f64 a b)
a
b
#s(literal -3/2 binary64)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
a
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(neg.f64 b)
b
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) a) c)
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
#s(literal 3/2 binary64)
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))
(*.f64 c #s(literal 3 binary64))
(*.f64 a (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))
(*.f64 b b)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 3 binary64) a)
Outputs
(/.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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
(*.f64 a #s(literal -3 binary64))
#s(literal -3 binary64)
a
c
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(*.f64 #s(literal -3/2 binary64) (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -3/2 binary64)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
a
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) c) (*.f64 #s(literal 3 binary64) a) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(+.f64 (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) c) (*.f64 #s(literal 3 binary64) a) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 b))
(neg.f64 b)
b
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) c) (*.f64 #s(literal 3 binary64) a) (pow.f64 b #s(literal 4 binary64)))))
(hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3/2 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) a) c)
(*.f64 (*.f64 c #s(literal -3 binary64)) a)
(*.f64 #s(literal -3 binary64) a)
(*.f64 a #s(literal -3 binary64))
#s(literal -3 binary64)
a
c
#s(literal 3/2 binary64)
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(sqrt.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) c) (*.f64 #s(literal 3 binary64) a) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) c) (*.f64 #s(literal 3 binary64) a) (pow.f64 b #s(literal 4 binary64)))
(*.f64 c #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) c)
(*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a)
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))
(fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)
(*.f64 b b)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 3 binary64) a)

localize224.0ms (3%)

Memory
27.0MiB live, 269.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy7.5044956468069985
(+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
accuracy8.171077290432903
(fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))
accuracy11.635894165607882
(sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
accuracy21.49769623274674
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
accuracy0.0625
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
accuracy1.6034323483524964
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
accuracy7.5044956468069985
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
accuracy12.080738732514233
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
accuracy0.1875
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
accuracy1.6034323483524964
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
accuracy1.7435016486334605
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
accuracy29.404088889422283
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
accuracy0.0
(/.f64 b a)
accuracy0.19140625
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
accuracy29.018092963191716
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
accuracy0.05078125
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
accuracy1.6034323483524964
(/.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))
accuracy7.5044956468069985
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
accuracy12.080738732514233
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
Samples
50.0ms121×0valid
40.0ms13×2valid
36.0ms96×0invalid
21.0ms25×1valid
2.0ms3valid
Compiler

Compiled 483 to 51 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
adjust: 28.0ms (23.2% of total)
ival-mult: 25.0ms (20.7% of total)
ival-pow: 18.0ms (14.9% of total)
ival-div: 14.0ms (11.6% of total)
ival-add: 12.0ms (10% of total)
ival-sqrt: 10.0ms (8.3% of total)
ival-hypot: 6.0ms (5% of total)
const: 4.0ms (3.3% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series178.0ms (2.4%)

Memory
-23.1MiB live, 126.3MiB allocated
Counts
21 → 216
Calls
Call 1
Inputs
(/.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 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))
Outputs
(* -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))))))))
(* -2/3 (/ b a))
(/ b a)
(* -3/2 (/ a b))
(+ (* -1/2 (/ c b)) (* -1/6 (/ (* a (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) b)))
(+ (* -1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* 1/6 (/ (* a (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) b)))))
(+ (* -1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* a (+ (* -1/6 (/ (* a (+ (* -9 (/ (* (pow c 2) (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) b)) (* 1/6 (/ (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2)))))) b)))))))
(* a (+ (* -3/2 (/ c b)) (* -1/2 (/ (* a (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) b))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* 1/2 (/ (* a (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) b))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* a (+ (* -1/2 (/ (* a (+ (* -9 (/ (* (pow c 2) (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) b)) (* 1/2 (/ (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2)))))) b))))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* -1/2 (/ (* a (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) b)))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* 1/2 (/ (* a (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) b)))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* 3/2 (* a c)) (pow b 2))
(+ (* a (+ (* 1/2 (/ (* a (- (* 9 (pow c 2)) (* 9/4 (pow c 2)))) (pow b 2))) (* 3/2 c))) (pow b 2))
(+ (* a (+ (* 3/2 c) (* a (+ (* -3/4 (/ (* a (* c (- (* 9 (pow c 2)) (* 9/4 (pow c 2))))) (pow b 4))) (* 1/2 (/ (- (* 9 (pow c 2)) (* 9/4 (pow c 2))) (pow b 2))))))) (pow b 2))
(pow b 4)
(+ (* 3 (* a (* (pow b 2) c))) (pow b 4))
(+ (* a (+ (* 3 (* (pow b 2) c)) (* 9 (* a (pow c 2))))) (pow b 4))
(* 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)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/9 (* (sqrt (/ c a)) (sqrt -27)))
(+ (* -1/3 (/ b a)) (* 1/9 (* (sqrt (/ c a)) (sqrt -27))))
(+ (* -1/3 (/ b a)) (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/9 (* (sqrt (/ c a)) (sqrt -27)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c))) (sqrt -27)))) (+ (* -1/3 (/ b a)) (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/9 (* (sqrt (/ c a)) (sqrt -27))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -27)))
(* a (+ (* -1 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -27)))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -27)))) (/ b a)))
(* a (- (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -27))))) (/ b a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -27)))))
(* a (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -27))))))
(* a (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -27))) (* 3/2 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (- (* 1/9 (/ (pow b 6) (pow c 2))) (+ (* -1/3 (/ (* (pow b 2) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)))) c)) (+ (* -1/243 (/ (* (pow b 6) (pow (sqrt -27) 2)) (pow c 2))) (* 1/324 (/ (* a (* (pow b 4) (pow (sqrt -27) 2))) c))))) (sqrt -27))))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* 3 (* a c))
(* a (+ (* 1/2 (/ (pow b 2) a)) (* 3 c)))
(* a (+ (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* (pow a 2) c))) (+ (* 1/2 (/ (pow b 2) a)) (* 3 c))))
(* a (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* (pow a 3) (pow c 2)))) (+ (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* (pow a 2) c))) (+ (* 1/2 (/ (pow b 2) a)) (* 3 c)))))
(* 9 (* (pow a 2) (pow c 2)))
(* (pow a 2) (+ (* 3 (/ (* (pow b 2) c) a)) (* 9 (pow c 2))))
(* (pow a 2) (+ (* 3 (/ (* (pow b 2) c) a)) (+ (* 9 (pow c 2)) (/ (pow b 4) (pow a 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)))))
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(* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27))))
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(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* 1/2 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (pow b 2)) (* -1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a c)))) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* a (pow c 2)))) (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) c))) a)) (* -1/2 (pow b 2))) a)) (* 3 c))))
(* (pow a 2) (+ (* -1 (/ (+ (* -3 (* (pow b 2) c)) (* -1 (/ (pow b 4) a))) a)) (* 9 (pow c 2))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
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(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
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(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(+ (* 1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (- (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -27)))) (* 1/3 (/ 1 a)))))
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(+ (* -1 b) (* 1/3 (* (sqrt (* a c)) (sqrt -27))))
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(+ (* 1/2 (pow b 2)) (* 3 (* a c)))
(+ (* 3 (* a c)) (* (pow b 2) (+ 1/2 (* 1/8 (/ (pow b 2) (* a c))))))
(+ (* 3 (* a c)) (* (pow b 2) (+ 1/2 (* (pow b 2) (+ (* -1/48 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/8 (/ 1 (* a c))))))))
(+ (* 3 (* a (* (pow b 2) c))) (* 9 (* (pow a 2) (pow c 2))))
(+ (* 9 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* 3 (* a c)) (pow b 2))))
(/ (+ (* -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)) (* -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 (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (+ (* -1/2 c) (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 2))))) b)
(/ (+ (* -1/2 c) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 2)))) (* 1/6 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (* a (pow b 4)))))) b)
(/ (+ (* -1/2 c) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (* (pow c 2) (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))))) (+ (* -3/2 (* a (* c (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2)))))))))))))) (+ (* 1/4 (pow (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) 2)) (* 3 (* a (* c (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))))))))))))) (* a (pow b 6)))) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 2)))) (* 1/6 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (* a (pow b 4))))))) b)
(/ (+ (* -3/2 (* a c)) (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 4))))) b)
(/ (+ (* -3/2 (* a c)) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (* (pow c 2) (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))))) (+ (* -3/2 (* a (* c (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2)))))))))))))) (+ (* 1/4 (pow (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) 2)) (* 3 (* a (* c (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))))))))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 4)))))) b)
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4))))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 6)))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 1/2 (/ (- (* 9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -3/4 (/ (* a (* c (- (* 9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* 1/2 (/ (- (* 9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))
(* (pow b 4) (+ 1 (* 3 (/ (* a c) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 3 (/ (* a c) (pow b 2))) (* 9 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -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 (* -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 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 4)))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 4)))) (+ (* 1/6 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (* a (pow b 6)))) (* 2/3 (/ 1 a)))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 6))))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 6))))))))
(* 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))))
(* 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 (* 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))))))))
(* c (- (* -1/6 (/ (* c (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (* a b))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -1/6 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (* a b))) (* 1/6 (/ (* c (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) (* a b))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -1/6 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (* a b))) (* c (+ (* -1/6 (/ (* c (+ (* -9 (/ (* (pow a 2) (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* a (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* a (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) (* a b))) (* 1/6 (/ (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2)))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* c (+ (* -3/2 (/ a b)) (* -1/2 (/ (* c (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) b))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) b)) (* 1/2 (/ (* c (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) b))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) b)) (* c (+ (* -1/2 (/ (* c (+ (* -9 (/ (* (pow a 2) (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* a (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* a (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) b)) (* 1/2 (/ (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2)))))) b))))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -1/2 (/ (* c (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) b)))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) b)) (* 1/2 (/ (* c (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) b)))))))
(+ (* c (+ (* 1/2 (/ (* c (- (* 9 (pow a 2)) (* 9/4 (pow a 2)))) (pow b 2))) (* 3/2 a))) (pow b 2))
(+ (* c (+ (* 3/2 a) (* c (+ (* -3/4 (/ (* a (* c (- (* 9 (pow a 2)) (* 9/4 (pow a 2))))) (pow b 4))) (* 1/2 (/ (- (* 9 (pow a 2)) (* 9/4 (pow a 2))) (pow b 2))))))) (pow b 2))
(+ (* c (+ (* 3 (* a (pow b 2))) (* 9 (* (pow a 2) c)))) (pow b 4))
(* 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)))))))
(* 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)))
(* 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))))))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/9 (* (sqrt (/ 1 (* a c))) (sqrt -27)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/9 (* (sqrt (/ 1 (* a c))) (sqrt -27))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a))) (sqrt -27)))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/9 (* (sqrt (/ 1 (* a c))) (sqrt -27)))))))
(* c (+ (* -1 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -27)))))
(* c (- (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -27)))) (/ b c)))
(* c (- (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -27))))) (/ b c)))
(* c (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -27)))))
(* c (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -27))))))
(* c (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -27))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (- (* 1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/3 (/ (* (pow b 2) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)))) a)) (+ (* -1/243 (/ (* (pow b 6) (pow (sqrt -27) 2)) (pow a 2))) (* 1/324 (/ (* (pow b 4) (* c (pow (sqrt -27) 2))) a))))) (sqrt -27))))))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* 1/2 (/ (pow b 2) c)) (* 3 a)))
(* c (+ (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a (pow c 2)))) (+ (* 1/2 (/ (pow b 2) c)) (* 3 a))))
(* c (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* (pow a 2) (pow c 3)))) (+ (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a (pow c 2)))) (+ (* 1/2 (/ (pow b 2) c)) (* 3 a)))))
(* (pow c 2) (+ (* 3 (/ (* a (pow b 2)) c)) (* 9 (pow a 2))))
(* (pow c 2) (+ (* 3 (/ (* a (pow b 2)) c)) (+ (* 9 (pow a 2)) (/ (pow b 4) (pow c 2)))))
(* -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 (* 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 (* 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))))))))
(* -1 (* c (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (* (sqrt -1) (sqrt 27)))))) c)) (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) c)) (* -1/3 (/ b a))) c)) (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) b) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* 1/18 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) c)) b) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (- (* 1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/324 (/ (* (pow b 4) (* c (pow (sqrt 27) 2))) a)) (+ (* 1/243 (/ (* (pow b 6) (pow (sqrt 27) 2)) (pow a 2))) (* 1/3 (/ (* (pow b 2) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) a)))))) (sqrt 27)))) (* -3/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) (pow c 3))) (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* 1/2 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (pow b 2)) (* -1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a c)))) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* (pow a 2) c))) (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) a))) c)) (* -1/2 (pow b 2))) c)) (* 3 a))))
(* (pow c 2) (+ (* -1 (/ (+ (* -3 (* a (pow b 2))) (* -1 (/ (pow b 4) c))) c)) (* 9 (pow a 2))))
Calls

9 calls:

TimeVariablePointExpression
111.0ms
a
@0
((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (* 3 a)) (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))) (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))
15.0ms
b
@inf
((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (* 3 a)) (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))) (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))
9.0ms
a
@inf
((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (* 3 a)) (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))) (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))
8.0ms
b
@-inf
((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (* 3 a)) (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))) (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))
6.0ms
a
@-inf
((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (* 3 a)) (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))) (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4)))

simplify202.0ms (2.7%)

Memory
15.3MiB live, 199.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014049787
151738149
086847756
Stop Event
iter limit
node limit
Counts
216 → 215
Calls
Call 1
Inputs
(* -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))))))))
(* -2/3 (/ b a))
(/ b a)
(* -3/2 (/ a b))
(+ (* -1/2 (/ c b)) (* -1/6 (/ (* a (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) b)))
(+ (* -1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* 1/6 (/ (* a (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) b)))))
(+ (* -1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* a (+ (* -1/6 (/ (* a (+ (* -9 (/ (* (pow c 2) (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) b)) (* 1/6 (/ (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2)))))) b)))))))
(* a (+ (* -3/2 (/ c b)) (* -1/2 (/ (* a (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) b))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* 1/2 (/ (* a (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) b))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* a (+ (* -1/2 (/ (* a (+ (* -9 (/ (* (pow c 2) (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) b)) (* 1/2 (/ (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2)))))) b))))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* -1/2 (/ (* a (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) b)))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* 1/2 (/ (* a (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) b)))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* 3/2 (* a c)) (pow b 2))
(+ (* a (+ (* 1/2 (/ (* a (- (* 9 (pow c 2)) (* 9/4 (pow c 2)))) (pow b 2))) (* 3/2 c))) (pow b 2))
(+ (* a (+ (* 3/2 c) (* a (+ (* -3/4 (/ (* a (* c (- (* 9 (pow c 2)) (* 9/4 (pow c 2))))) (pow b 4))) (* 1/2 (/ (- (* 9 (pow c 2)) (* 9/4 (pow c 2))) (pow b 2))))))) (pow b 2))
(pow b 4)
(+ (* 3 (* a (* (pow b 2) c))) (pow b 4))
(+ (* a (+ (* 3 (* (pow b 2) c)) (* 9 (* a (pow c 2))))) (pow b 4))
(* 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)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/9 (* (sqrt (/ c a)) (sqrt -27)))
(+ (* -1/3 (/ b a)) (* 1/9 (* (sqrt (/ c a)) (sqrt -27))))
(+ (* -1/3 (/ b a)) (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/9 (* (sqrt (/ c a)) (sqrt -27)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c))) (sqrt -27)))) (+ (* -1/3 (/ b a)) (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/9 (* (sqrt (/ c a)) (sqrt -27))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -27)))
(* a (+ (* -1 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -27)))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -27)))) (/ b a)))
(* a (- (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -27))))) (/ b a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -27)))))
(* a (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -27))))))
(* a (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -27)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -27))) (* 3/2 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (- (* 1/9 (/ (pow b 6) (pow c 2))) (+ (* -1/3 (/ (* (pow b 2) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) c)))) c)) (+ (* -1/243 (/ (* (pow b 6) (pow (sqrt -27) 2)) (pow c 2))) (* 1/324 (/ (* a (* (pow b 4) (pow (sqrt -27) 2))) c))))) (sqrt -27))))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* 3 (* a c))
(* a (+ (* 1/2 (/ (pow b 2) a)) (* 3 c)))
(* a (+ (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* (pow a 2) c))) (+ (* 1/2 (/ (pow b 2) a)) (* 3 c))))
(* a (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* (pow a 3) (pow c 2)))) (+ (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* (pow a 2) c))) (+ (* 1/2 (/ (pow b 2) a)) (* 3 c)))))
(* 9 (* (pow a 2) (pow c 2)))
(* (pow a 2) (+ (* 3 (/ (* (pow b 2) c) a)) (* 9 (pow c 2))))
(* (pow a 2) (+ (* 3 (/ (* (pow b 2) c) a)) (+ (* 9 (pow c 2)) (/ (pow b 4) (pow a 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))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27))))
(+ (* -1/3 (/ b a)) (* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27)))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 b)) a)) (* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)))) (sqrt 27)))) (* -1/54 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (sqrt 27)))))) a)) (* 1/3 b)) a)) (* -1/9 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27)))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 27))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27)))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) b) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* 1/18 (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)))) (sqrt 27))))) a)) b) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)))) (sqrt 27))))))))
(* -1 (* a (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (- (* 1/9 (/ (pow b 6) (pow c 2))) (+ (* -1/324 (/ (* a (* (pow b 4) (pow (sqrt 27) 2))) c)) (+ (* 1/243 (/ (* (pow b 6) (pow (sqrt 27) 2)) (pow c 2))) (* 1/3 (/ (* (pow b 2) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)))) c)))))) (sqrt 27)))) (* -3/2 (* (sqrt (/ a c)) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 27))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* 1/2 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (pow b 2)) (* -1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a c)))) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* a (pow c 2)))) (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) c))) a)) (* -1/2 (pow b 2))) a)) (* 3 c))))
(* (pow a 2) (+ (* -1 (/ (+ (* -3 (* (pow b 2) c)) (* -1 (/ (pow b 4) a))) a)) (* 9 (pow c 2))))
(+ (* 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) (* (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)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
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(+ (* -1 b) (* 1/3 (* (sqrt (* a c)) (sqrt -27))))
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(+ (* 1/2 (pow b 2)) (* 3 (* a c)))
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(/ (+ (* -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)) (* -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 (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (+ (* -1/2 c) (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 2))))) b)
(/ (+ (* -1/2 c) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 2)))) (* 1/6 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (* a (pow b 4)))))) b)
(/ (+ (* -1/2 c) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (* (pow c 2) (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))))) (+ (* -3/2 (* a (* c (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2)))))))))))))) (+ (* 1/4 (pow (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) 2)) (* 3 (* a (* c (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))))))))))))) (* a (pow b 6)))) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 2)))) (* 1/6 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (* a (pow b 4))))))) b)
(/ (+ (* -3/2 (* a c)) (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 4))))) b)
(/ (+ (* -3/2 (* a c)) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (* (pow c 2) (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))))) (+ (* -3/2 (* a (* c (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2)))))))))))))) (+ (* 1/4 (pow (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) 2)) (* 3 (* a (* c (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))))))))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 2))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 4)))))) b)
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4))))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 6)))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 1/2 (/ (- (* 9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -3/4 (/ (* a (* c (- (* 9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* 1/2 (/ (- (* 9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))
(* (pow b 4) (+ 1 (* 3 (/ (* a c) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 3 (/ (* a c) (pow b 2))) (* 9 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* -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 (* -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 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 4)))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -1/6 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (* a (pow b 4)))) (+ (* 1/6 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (* a (pow b 6)))) (* 2/3 (/ 1 a)))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 6))))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* -1/2 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (+ (* 9/4 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2))))) (pow b 4))) (* 1/2 (/ (- (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))) (+ (* -27 (* (pow a 3) (pow c 3))) (+ (* -3 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (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))) (* 9 (* (pow a 2) (pow c 2))))))))))) (pow b 6))))))))
(* 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))))
(* 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 (* 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))))))))
(* c (- (* -1/6 (/ (* c (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (* a b))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -1/6 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (* a b))) (* 1/6 (/ (* c (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) (* a b))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -1/6 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (* a b))) (* c (+ (* -1/6 (/ (* c (+ (* -9 (/ (* (pow a 2) (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* a (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* a (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) (* a b))) (* 1/6 (/ (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2)))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* c (+ (* -3/2 (/ a b)) (* -1/2 (/ (* c (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) b))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) b)) (* 1/2 (/ (* c (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) b))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) b)) (* c (+ (* -1/2 (/ (* c (+ (* -9 (/ (* (pow a 2) (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* a (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* a (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) b)) (* 1/2 (/ (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2)))))) b))))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -1/2 (/ (* c (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) b)))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) b)) (* 1/2 (/ (* c (- (/ (* (pow a 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow a 3) (pow b 4))) (+ (* -3 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 2))) (+ (* 9/4 (/ (pow a 2) (pow b 2))) (* 9 (/ (pow a 2) (pow b 2)))))) (pow b 2))))))) b)))))))
(+ (* c (+ (* 1/2 (/ (* c (- (* 9 (pow a 2)) (* 9/4 (pow a 2)))) (pow b 2))) (* 3/2 a))) (pow b 2))
(+ (* c (+ (* 3/2 a) (* c (+ (* -3/4 (/ (* a (* c (- (* 9 (pow a 2)) (* 9/4 (pow a 2))))) (pow b 4))) (* 1/2 (/ (- (* 9 (pow a 2)) (* 9/4 (pow a 2))) (pow b 2))))))) (pow b 2))
(+ (* c (+ (* 3 (* a (pow b 2))) (* 9 (* (pow a 2) c)))) (pow b 4))
(* 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)))))))
(* 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)))
(* 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))))))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/9 (* (sqrt (/ 1 (* a c))) (sqrt -27)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/9 (* (sqrt (/ 1 (* a c))) (sqrt -27))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a))) (sqrt -27)))) (+ (* -1/3 (/ b (* a c))) (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/9 (* (sqrt (/ 1 (* a c))) (sqrt -27)))))))
(* c (+ (* -1 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -27)))))
(* c (- (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -27)))) (/ b c)))
(* c (- (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -27))))) (/ b c)))
(* c (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -27)))))
(* c (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -27))))))
(* c (+ (* -3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a))) (sqrt -27)))) (+ (* -1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -27)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -27))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (- (* 1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/3 (/ (* (pow b 2) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt -27) 2)) a)))) a)) (+ (* -1/243 (/ (* (pow b 6) (pow (sqrt -27) 2)) (pow a 2))) (* 1/324 (/ (* (pow b 4) (* c (pow (sqrt -27) 2))) a))))) (sqrt -27))))))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* 1/2 (/ (pow b 2) c)) (* 3 a)))
(* c (+ (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a (pow c 2)))) (+ (* 1/2 (/ (pow b 2) c)) (* 3 a))))
(* c (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* (pow a 2) (pow c 3)))) (+ (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a (pow c 2)))) (+ (* 1/2 (/ (pow b 2) c)) (* 3 a)))))
(* (pow c 2) (+ (* 3 (/ (* a (pow b 2)) c)) (* 9 (pow a 2))))
(* (pow c 2) (+ (* 3 (/ (* a (pow b 2)) c)) (+ (* 9 (pow a 2)) (/ (pow b 4) (pow c 2)))))
(* -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 (* 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 (* 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))))))))
(* -1 (* c (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (* (sqrt -1) (sqrt 27)))))) c)) (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) c)) (* -1/3 (/ b a))) c)) (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) b) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* 1/18 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) c)) b) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (- (* 1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/324 (/ (* (pow b 4) (* c (pow (sqrt 27) 2))) a)) (+ (* 1/243 (/ (* (pow b 6) (pow (sqrt 27) 2)) (pow a 2))) (* 1/3 (/ (* (pow b 2) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) a)))))) (sqrt 27)))) (* -3/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) (pow c 3))) (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* 1/2 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (pow b 2)) (* -1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a c)))) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* (pow a 2) c))) (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) a))) c)) (* -1/2 (pow b 2))) c)) (* 3 a))))
(* (pow c 2) (+ (* -1 (/ (+ (* -3 (* a (pow b 2))) (* -1 (/ (pow b 4) c))) c)) (* 9 (pow a 2))))
Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
(* 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))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/ b a)
(/.f64 b a)
(* -3/2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(+ (* -1/2 (/ c b)) (* -1/6 (/ (* a (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) b)))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 9/4 binary64) b) (/.f64 (*.f64 c c) b)) a) (*.f64 #s(literal -1/2 binary64) c)) b)
(+ (* -1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* 1/6 (/ (* a (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) b)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27 binary64) (*.f64 #s(literal 27 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 9/4 binary64) b) (/.f64 (*.f64 c c) b)) c) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal 0 binary64) c))) (*.f64 b b))) a) (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 9/4 binary64) b) (/.f64 (*.f64 c c) b)))) b) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) b)) (* a (+ (* -1/6 (/ (* a (+ (* -9 (/ (* (pow c 2) (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 4))) (+ (* -3/2 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2))))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) 2) (pow b 2))) (* 3 (/ (* c (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) (pow b 2))))))) b)) (* 1/6 (/ (- (/ (* (pow c 3) (pow (sqrt -27) 2)) (pow b 4)) (+ (* -27 (/ (pow c 3) (pow b 4))) (+ (* -3 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2))))) (pow b 2))) (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) (pow b 2)))))) b)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -9 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27 binary64) (*.f64 #s(literal 27 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 9/4 binary64) b) (/.f64 (*.f64 c c) b)) c) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal 0 binary64) c))) (*.f64 b b))) b) (/.f64 c b)) #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 #s(literal -27 binary64) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -3 binary64) b) (/.f64 (*.f64 #s(literal 0 binary64) c) b) (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 #s(literal -27 binary64) (pow.f64 b #s(literal 4 binary64)))))) c) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 9/4 binary64) b) (/.f64 (*.f64 c c) b)) #s(literal 2 binary64)))) (*.f64 b b)))) a) (*.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27 binary64) (*.f64 #s(literal 27 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 9/4 binary64) b) (/.f64 (*.f64 c c) b)) c) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal 0 binary64) c))) (*.f64 b b))))) b) a (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 9/4 binary64) b) (/.f64 (*.f64 c c) b)) b) #s(literal -1/6 binary64))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(* a (+ (* -3/2 (/ c b)) (* -1/2 (/ (* a (+ (* -9 (/ (pow c 2) (pow b 2))) (+ (* 9/4 (/ (pow c 2) (pow b 2))) (* 9 (/ (pow c 2) (pow b 2)))))) b))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 9/4 binary64) b) (/.f64 (*.f64 c c) b)) a) (*.f64 #s(literal -3/2 binary64) c)) b) a)
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(* -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))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))
(* -1 (* c (+ (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))) (* 1/3 (/ b (* a c))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/3 binary64))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (* (sqrt -1) (sqrt 27)))))) c)) (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) c)) (* -1/3 (/ b a))) c)) (* 1/9 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 27)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) b) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b))) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* 1/18 (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) c)) b) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 27 binary64)))))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (- (* 1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/324 (/ (* (pow b 4) (* c (pow (sqrt 27) 2))) a)) (+ (* 1/243 (/ (* (pow b 6) (pow (sqrt 27) 2)) (pow a 2))) (* 1/3 (/ (* (pow b 2) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) a)))))) (sqrt 27)))) (* -3/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)) (* 1/81 (/ (* (pow b 4) (pow (sqrt 27) 2)) a)))) (sqrt 27))))) (pow c 3))) (+ (* 1/18 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (* (sqrt -1) (sqrt 27))))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27))))))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) a) (/.f64 (pow.f64 b #s(literal 6 binary64)) a)) (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 27 binary64) c) a)) #s(literal -1/324 binary64) (fma.f64 (/.f64 #s(literal 1/243 binary64) a) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) a) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) a) #s(literal 1/3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 27 binary64)))) (pow.f64 c #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) c) #s(literal 1/2 binary64) (*.f64 #s(literal 3 binary64) a)))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (pow b 2)) (* -1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) (* a c)))) c)) (* 3 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) c) (/.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 b #s(literal 4 binary64))) a) (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (pow b 4)))) (* (pow a 2) c))) (* 1/6 (/ (- (pow b 4) (* 1/4 (pow b 4))) a))) c)) (* -1/2 (pow b 2))) c)) (* 3 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a a) c))) #s(literal -1/36 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 b #s(literal 4 binary64))) a) #s(literal 1/6 binary64))) (neg.f64 c))) (neg.f64 c))))
(* (pow c 2) (+ (* -1 (/ (+ (* -3 (* a (pow b 2))) (* -1 (/ (pow b 4) c))) c)) (* 9 (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b) (/.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 c))) (neg.f64 c))) (*.f64 c c))

rewrite183.0ms (2.4%)

Memory
-21.3MiB live, 215.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052316
092316
1354313
22281313
08541310
Stop Event
iter limit
node limit
iter limit
Counts
21 → 810
Calls
Call 1
Inputs
(/.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 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))
Outputs
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a)) #s(literal -3 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))))) (neg.f64 (neg.f64 (*.f64 a #s(literal -3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) a (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) (*.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal 3 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
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(sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b))))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a)) (*.f64 #s(literal 3 binary64) c)))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) c)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a)))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 c) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) #s(literal 3 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))))
(+.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 c a)))
(+.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))

eval125.0ms (1.7%)

Memory
37.7MiB live, 181.4MiB allocated
Compiler

Compiled 41 131 to 3 949 computations (90.4% saved)

prune48.0ms (0.6%)

Memory
-24.4MiB live, 74.2MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New74913762
Fresh3811
Picked235
Done000
Total75424778
Accuracy
93.5%
Counts
778 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
34.0%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
53.4%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
53.4%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
27.3%
(/.f64 (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
23.0%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
53.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.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))
32.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
29.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
9.9%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a))
39.3%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
20.4%
(/.f64 #s(approx (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 9/4 binary64) b)) c) (*.f64 #s(literal -3/2 binary64) a)) b) c)) (*.f64 #s(literal 3 binary64) a))
27.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a))
27.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
39.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
28.4%
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
52.8%
(+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
39.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
39.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
33.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
39.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
38.4%
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
Compiler

Compiled 1 187 to 812 computations (31.6% saved)

simplify136.0ms (1.8%)

Memory
6.0MiB live, 98.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
cost-diff0
(*.f64 b b)
cost-diff6
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
cost-diff7
(-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
cost-diff0
(/.f64 (/.f64 c b) b)
cost-diff0
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
cost-diff1
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
cost-diff0
(*.f64 a (/.f64 #s(literal -3/2 binary64) b))
cost-diff0
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
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
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
cost-diff0
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a)
cost-diff0
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042349
068349
1125345
2320335
31195326
44642325
08100323
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 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))
c
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -3/2 binary64) b))
a
(/.f64 #s(literal -3/2 binary64) b)
#s(literal -3/2 binary64)
b
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
a
(neg.f64 b)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
c
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) 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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) a)
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
c
(*.f64 a #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) a)
a
#s(literal -3 binary64)
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) a) c))
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) a) c)
(*.f64 a (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -3/2 binary64) b) a)
a
(/.f64 #s(literal -3/2 binary64) b)
#s(literal -3/2 binary64)
b
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 c b) (/.f64 #s(literal -2/3 binary64) a)) b))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 c b) (/.f64 #s(literal -2/3 binary64) a)) b)
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
a
(neg.f64 b)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (*.f64 c #s(literal 1 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))))
(-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(*.f64 (*.f64 a c) #s(literal 3 binary64))
(*.f64 b b)
b
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
c
(*.f64 a #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) a)
a
#s(literal -3 binary64)
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.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 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize210.0ms (2.8%)

Memory
-3.4MiB live, 139.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy15.151557498247634
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))
accuracy21.976572245871633
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
accuracy23.090641765262742
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
accuracy36.928957234561416
(-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
accuracy0.13671875
(/.f64 (/.f64 c b) b)
accuracy0.38671875
(/.f64 #s(literal 2/3 binary64) a)
accuracy6.077191853408308
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
accuracy38.72961315369089
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
accuracy0.1796875
(*.f64 a (/.f64 #s(literal -3/2 binary64) b))
accuracy3.1008773695817538
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
accuracy3.226817011195893
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)
accuracy42.886559867235476
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c))
accuracy0.0
(/.f64 c b)
accuracy0.0
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy42.896420225693305
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
accuracy0.19921875
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
accuracy2.97247234206558
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a)
accuracy14.11689227211683
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
accuracy23.090641765262742
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
Samples
93.0ms90×1valid
56.0ms74×2valid
22.0ms81×0valid
10.0ms11×3valid
Compiler

Compiled 329 to 39 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 24.0ms (24.4% of total)
adjust: 22.0ms (22.4% of total)
ival-div: 20.0ms (20.4% of total)
ival-add: 9.0ms (9.2% of total)
ival-sqrt: 8.0ms (8.1% of total)
ival-sub: 7.0ms (7.1% of total)
const: 7.0ms (7.1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.8%)

Memory
-8.2MiB live, 37.1MiB allocated
Counts
21 → 194
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 b b)
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(/.f64 #s(literal 2/3 binary64) a)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))
Outputs
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -3/2 (/ a b))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(* 3 (* a c))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* -2 b)
(- (* 3/2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) (* 2 b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (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)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -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 (* 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))))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (/ b a) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -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 (- (* 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)))
(+ (* -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)))
(+ (* 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)))))))))
(/ c b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ c (pow b 2))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(- (* -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)))
(/ (+ (* -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) (* -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)) (* -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 (+ 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* 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)))))))
(* -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)))))))
(* -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 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4))))))))
(* -1 (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b))
(* -1 (/ (- (* 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 (/ (- (* 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))
(* 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))))
(* 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))))
(* 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 (* 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))))))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(- (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) (* 2 b))
(* 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)))))))
(* 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))))))
(* 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)))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))
(* -1 (* 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 (* 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 (* 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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (/ b c) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -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))))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
c
@inf
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (- (* b b) (+ (* c (* a -3)) (* b b))) (/ (- (* b b) (+ (* c (* a -3)) (* b b))) (* (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))) (* 3 a))) (* b b) (+ (* c (* a -3)) (* b b)) (/ 2/3 a) (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))))
6.0ms
c
@-inf
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (- (* b b) (+ (* c (* a -3)) (* b b))) (/ (- (* b b) (+ (* c (* a -3)) (* b b))) (* (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))) (* 3 a))) (* b b) (+ (* c (* a -3)) (* b b)) (/ 2/3 a) (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))))
5.0ms
a
@-inf
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (- (* b b) (+ (* c (* a -3)) (* b b))) (/ (- (* b b) (+ (* c (* a -3)) (* b b))) (* (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))) (* 3 a))) (* b b) (+ (* c (* a -3)) (* b b)) (/ 2/3 a) (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))))
5.0ms
a
@inf
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (- (* b b) (+ (* c (* a -3)) (* b b))) (/ (- (* b b) (+ (* c (* a -3)) (* b b))) (* (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))) (* 3 a))) (* b b) (+ (* c (* a -3)) (* b b)) (/ 2/3 a) (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))))
4.0ms
b
@0
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (- (* b b) (+ (* c (* a -3)) (* b b))) (/ (- (* b b) (+ (* c (* a -3)) (* b b))) (* (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))) (* 3 a))) (* b b) (+ (* c (* a -3)) (* b b)) (/ 2/3 a) (- (neg b) (sqrt (+ (* c (* a -3)) (* b b)))))

simplify177.0ms (2.4%)

Memory
31.7MiB live, 127.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010496037
137155873
086055622
Stop Event
iter limit
node limit
Counts
194 → 193
Calls
Call 1
Inputs
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -3/2 (/ a b))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(* 3 (* a c))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* -2 b)
(- (* 3/2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) (* 2 b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* (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)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -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 (* 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))))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (/ b a) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -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 (- (* 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)))
(+ (* -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)))
(+ (* 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)))))))))
(/ c b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ c (pow b 2))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(- (* -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)))
(/ (+ (* -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) (* -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)) (* -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 (+ 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* 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)))))))
(* -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)))))))
(* -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 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4))))))))
(* -1 (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b))
(* -1 (/ (- (* 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 (/ (- (* 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))
(* 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))))
(* 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))))
(* 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 (* 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))))))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(- (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) (* 2 b))
(* 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)))))))
(* 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))))))
(* 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)))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))
(* -1 (* 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 (* 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 (* 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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (/ b c) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -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))))))
Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(* -3/2 (/ c b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(+ (* -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)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(* -3/2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
(* 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))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)
(* -3/2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)
(* 3 (* a c))
(*.f64 (*.f64 a c) #s(literal 3 binary64))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) a (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 3/2 (/ (* a c) b)) (* 2 b))
(fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (/.f64 c #s(literal 3 binary64)) (/.f64 b a))) (neg.f64 c)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 a a))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))) (neg.f64 c)) #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b c) a))) c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (/ b c) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -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))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -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))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))))) (neg.f64 c)) b) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))

rewrite181.0ms (2.4%)

Memory
6.2MiB live, 140.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042266
068253
1226249
21747249
08349249
Stop Event
iter limit
node limit
iter limit
Counts
21 → 858
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/.f64 c b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c))
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 b b)
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(/.f64 #s(literal 2/3 binary64) a)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))
Outputs
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64))))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 b b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a))
(*.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b))) a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (/.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a))
(*.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) a) (/.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) a) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 3 binary64))))
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(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)))
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)))) (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)))) (/.f64 (neg.f64 (neg.f64 b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))))) (/.f64 (neg.f64 (neg.f64 b)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)))) (/.f64 (neg.f64 b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))))) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(fma.f64 (/.f64 b (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)))) (/.f64 b (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(fma.f64 (/.f64 b (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64))))) (/.f64 b (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(-.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))

eval201.0ms (2.7%)

Memory
-23.9MiB live, 162.1MiB allocated
Compiler

Compiled 56 780 to 5 169 computations (90.9% saved)

prune70.0ms (0.9%)

Memory
18.8MiB live, 79.5MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1 198151 213
Fresh7916
Picked325
Done033
Total1 208291 237
Accuracy
93.5%
Counts
1 237 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
53.4%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
32.1%
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* c (* a -3)) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (neg.f64 b)) a) #s(literal 3 binary64))
22.2%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)))
53.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.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))
32.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
29.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
9.9%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a))
32.9%
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
39.2%
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
39.9%
(/.f64 #s(approx (- (* b b) (+ (* c (* a -3)) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
20.4%
(/.f64 #s(approx (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 9/4 binary64) b)) c) (*.f64 #s(literal -3/2 binary64) a)) b) c)) (*.f64 #s(literal 3 binary64) a))
24.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
27.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
39.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
28.4%
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
38.4%
#s(approx (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
39.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
33.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
39.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
39.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b)))
32.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
39.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
39.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
39.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 1 565 to 1 095 computations (30% saved)

simplify72.0ms (1%)

Memory
-13.2MiB live, 33.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a))
cost-diff0
(*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
cost-diff2
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b))
cost-diff0
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
cost-diff2
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
cost-diff0
#s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
cost-diff0
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
cost-diff0
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
cost-diff0
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
cost-diff0
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
cost-diff0
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057441
081441
1150438
2344438
3777427
42074419
54948419
67878419
08028405
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 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))
c
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
#s(literal 1/2 binary64)
(/.f64 c b)
c
b
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
#s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
#s(literal -3/2 binary64)
(/.f64 c b)
c
b
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b))
#s(literal 1/2 binary64)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
b
(*.f64 #s(literal -2/3 binary64) b)
#s(literal -2/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
(*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b))
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)
(fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64))
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
#s(literal 2/3 binary64)
(neg.f64 b)
Outputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
c
(*.f64 a #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) a)
a
#s(literal -3 binary64)
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
(*.f64 (/.f64 c b) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 c b)
c
b
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
#s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
#s(literal -3/2 binary64)
(/.f64 c b)
c
b
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 #s(literal -2/3 binary64) a) b (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 #s(literal -2/3 binary64) a) b (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(fma.f64 (/.f64 #s(literal -2/3 binary64) a) b (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b))
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64) (*.f64 #s(literal -2/3 binary64) b))
#s(literal 1/2 binary64)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
b
(*.f64 #s(literal -2/3 binary64) b)
#s(literal -2/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b)))
(*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b))
(*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b))
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a))
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)
(fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
(fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 c b) a) #s(literal 2/3 binary64))
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
#s(literal 2/3 binary64)
(neg.f64 b)

localize163.0ms (2.2%)

Memory
22.5MiB live, 114.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.6038587640042046
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)
accuracy4.66755520625398
(*.f64 a (/.f64 c b))
accuracy6.077191853408308
(*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b))
accuracy38.72961315369089
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
accuracy0.3203125
(*.f64 #s(literal -2/3 binary64) b)
accuracy4.400591314560883
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)
accuracy4.66755520625398
(*.f64 a (/.f64 c b))
accuracy38.72961315369089
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
accuracy0.0
(/.f64 c b)
accuracy0.19921875
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
accuracy0.2421875
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
accuracy42.89577801423451
#s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
accuracy0.0
(/.f64 c b)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
accuracy38.72961315369089
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
accuracy42.94068896894652
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
accuracy0.1796875
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
accuracy3.0071273695817538
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
accuracy14.11689227211683
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
accuracy23.090641765262742
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
Samples
63.0ms177×0valid
41.0ms33×2valid
27.0ms44×1valid
2.0ms3valid
Compiler

Compiled 320 to 46 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-div: 23.0ms (23.8% of total)
ival-mult: 23.0ms (23.8% of total)
ival-sqrt: 19.0ms (19.7% of total)
adjust: 10.0ms (10.4% of total)
ival-add: 9.0ms (9.3% of total)
const: 9.0ms (9.3% of total)
ival-sub: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.8%)

Memory
0.5MiB live, 50.5MiB allocated
Counts
21 → 174
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
(/.f64 c b)
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
#s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
(*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b))
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a))
(*.f64 a (/.f64 c b))
(*.f64 #s(literal -2/3 binary64) b)
Outputs
(* -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 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -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))))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -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)))))))
(* -2/3 b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/ (* a c) b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* (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)))))
(* 1/2 (/ (* a c) b))
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 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 (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (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 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(+ (* 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 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(+ (* -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)))
(+ (* 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)))))))))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ c b)
(+ (* 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)))
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b)
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -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)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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 (+ 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(/ (+ (* -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)
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* -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 (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ 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)))))))
(* 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))))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 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 (* 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))))))))
(* 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))))
(* 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)))))))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* 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)))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 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))))))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* -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 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -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 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
a
@inf
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) (/ (+ (* (/ -1/2 b) (* a (/ c b))) 2/3) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (* a (/ c b)) (* -2/3 b))
14.0ms
b
@0
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) (/ (+ (* (/ -1/2 b) (* a (/ c b))) 2/3) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (* a (/ c b)) (* -2/3 b))
8.0ms
a
@-inf
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) (/ (+ (* (/ -1/2 b) (* a (/ c b))) 2/3) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (* a (/ c b)) (* -2/3 b))
4.0ms
c
@-inf
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) (/ (+ (* (/ -1/2 b) (* a (/ c b))) 2/3) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (* a (/ c b)) (* -2/3 b))
3.0ms
b
@inf
((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* 1/2 (* a (/ c b))) (* -2/3 b)) (/ (+ (* (/ -1/2 b) (* a (/ c b))) 2/3) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (* a (/ c b)) (* -2/3 b))

simplify214.0ms (2.8%)

Memory
7.0MiB live, 96.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08195079
129975034
091064791
Stop Event
iter limit
node limit
Counts
174 → 173
Calls
Call 1
Inputs
(* -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 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -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))))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -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)))))))
(* -2/3 b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/ (* a c) b)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* (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)))))
(* 1/2 (/ (* a c) b))
(* a (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 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 (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* (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 (* a (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))))
(+ (* 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 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(+ (* -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)))
(+ (* 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)))))))))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ c b)
(+ (* 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)))
(/ (+ (* -2/3 (pow b 2)) (* 1/2 (* a c))) b)
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -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)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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 (+ 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(/ (+ (* -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)
(* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))
(* -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 (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ 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)))))))
(* 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))))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 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 (* 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))))))))
(* 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))))
(* 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)))))))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* 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)))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 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))))))
(* c (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* -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 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -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 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
Outputs
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(* -1/2 (/ (* a c) b))
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) a)
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 (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 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) a)
(* a (+ (* -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))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) a)
(* -3/2 (/ (* a c) b))
(*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
(* 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))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(* -3/2 (/ c b))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(+ (* -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)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(* -2/3 b)
(*.f64 #s(literal -2/3 binary64) b)
(+ (* -2/3 b) (* 1/2 (/ (* a c) b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b))
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
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(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.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 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 #s(literal -1/3 binary64) b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.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 c a)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) b) (neg.f64 c))))
(* -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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -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))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) (neg.f64 c))))
(* -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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 b) a) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) c)) (neg.f64 c))))
(* -1 (* c (+ (* -1/2 (/ a b)) (* 2/3 (/ b c)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b c) #s(literal 2/3 binary64) (*.f64 (/.f64 a b) #s(literal -1/2 binary64))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))

rewrite234.0ms (3.1%)

Memory
-43.3MiB live, 98.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057374
081374
1258371
21855371
08740364
Stop Event
iter limit
node limit
iter limit
Counts
21 → 409
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
(/.f64 c b)
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
#s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
(*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b))
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a))
(*.f64 a (/.f64 c b))
(*.f64 #s(literal -2/3 binary64) b)
Outputs
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
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(neg.f64 (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 c b) a) #s(literal 2/3 binary64)) a)) b))
#s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 c b) a) #s(literal 2/3 binary64)) a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 b))
(/.f64 (*.f64 a c) b)
(*.f64 #s(literal -2/3 binary64) b)
(*.f64 b #s(literal -2/3 binary64))

eval90.0ms (1.2%)

Memory
33.4MiB live, 78.3MiB allocated
Compiler

Compiled 30 074 to 3 063 computations (89.8% saved)

prune66.0ms (0.9%)

Memory
0.1MiB live, 46.7MiB allocated
Pruning

34 alts after pruning (25 fresh and 9 done)

PrunedKeptTotal
New6027609
Fresh11819
Picked145
Done055
Total60434638
Accuracy
93.5%
Counts
638 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
52.8%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a)
53.4%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
32.1%
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* c (* a -3)) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (neg.f64 b)) a) #s(literal 3 binary64))
39.2%
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
22.2%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)))
53.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
53.4%
(/.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))
32.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
29.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
9.9%
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a))
32.9%
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64))
32.9%
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
28.5%
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
39.9%
(/.f64 #s(approx (- (* b b) (+ (* c (* a -3)) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
20.4%
(/.f64 #s(approx (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 9/4 binary64) b)) c) (*.f64 #s(literal -3/2 binary64) a)) b) c)) (*.f64 #s(literal 3 binary64) a))
24.6%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
27.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
39.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
28.4%
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
38.4%
#s(approx (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
39.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
33.0%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
38.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) a) (/.f64 (/.f64 c b) a) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b)))
39.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b)))
32.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
39.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
39.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))))
39.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
37.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
39.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
9.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 2 525 to 1 009 computations (60% saved)

regimes92.0ms (1.2%)

Memory
-7.6MiB live, 46.4MiB allocated
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b)))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.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 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* c (* a -3)) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2/3 binary64) b) 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) a) (/.f64 (/.f64 c b) a) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b)))
(/.f64 #s(approx (- (* b b) (+ (* c (* a -3)) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 #s(approx (+ (neg b) (/ (sqrt (+ (* (pow (* (* -3 a) c) 3/2) (pow (* (* -3 a) c) 3/2)) (* (pow b 3) (pow b 3)))) (sqrt (+ (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))) (pow b 4))))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 9/4 binary64) b)) c) (*.f64 #s(literal -3/2 binary64) a)) b) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))) (*.f64 #s(literal 3 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
(+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

5 calls:

38.0ms
a
14.0ms
c
13.0ms
b
13.0ms
(*.f64 #s(literal 3 binary64) a)
11.0ms
(/.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
53.4%1(*.f64 #s(literal 3 binary64) a)
78.8%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))
53.4%1a
86.8%3b
53.4%1c
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes13.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b)))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.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 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* c (* a -3)) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2/3 binary64) b) 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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a)) (neg.f64 b)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) a) (/.f64 (/.f64 c b) a) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b)))
(/.f64 #s(approx (- (* b b) (+ (* c (* a -3)) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #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)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
(/.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))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
86.8%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b)))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
84.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes51.0ms (0.7%)

Memory
-33.3MiB live, 13.9MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b)))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a c) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

2 calls:

7.0ms
b
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
55.9%3(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
69.9%2b
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes7.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b)))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
69.9%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 b)))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
Outputs
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
69.6%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
69.6%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
69.5%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#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 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
69.5%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Calls

5 calls:

1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
b
1.0ms
a
1.0ms
c
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
39.1%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))
39.1%1c
39.1%1(*.f64 #s(literal 3 binary64) a)
39.1%1a
45.4%2b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes26.0ms (0.3%)

Memory
-37.3MiB live, 9.8MiB 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)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Calls

5 calls:

21.0ms
b
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
c
1.0ms
a
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
9.1%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))
9.1%1(*.f64 #s(literal 3 binary64) a)
9.1%1a
9.1%1c
9.1%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch49.0ms (0.7%)

Memory
28.9MiB live, 28.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
3.7757378930949227e-91
9.897763456565573e-86
19.0ms
-7.971741444567826e+92
-1.1366479226799725e+78
Samples
19.0ms262×0valid
5.0ms31×1valid
3.0ms45×0invalid
2.0ms11×2valid
Compiler

Compiled 1 038 to 756 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (35.5% of total)
ival-div: 3.0ms (15.2% of total)
ival-sqrt: 3.0ms (15.2% of total)
adjust: 2.0ms (10.1% of total)
ival-sub: 2.0ms (10.1% of total)
ival-add: 2.0ms (10.1% of total)
ival-neg: 2.0ms (10.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.7757378930949227e-91
9.897763456565573e-86
11.0ms
-1.2316214734992093e+35
-1.3933362581169906e+34
Samples
7.0ms96×0valid
0.0ms0invalid
Compiler

Compiled 737 to 561 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (42.5% of total)
ival-div: 1.0ms (21.3% of total)
ival-sqrt: 1.0ms (21.3% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch42.0ms (0.6%)

Memory
-31.4MiB live, 15.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.7757378930949227e-91
9.897763456565573e-86
38.0ms
-2.1028645968037808e-116
-1.0631793947884317e-119
Samples
9.0ms128×0valid
2.0ms33×0invalid
Compiler

Compiled 978 to 734 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.6% of total)
ival-div: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% of total)
ival-sub: 1.0ms (12.9% of total)
ival-sqrt: 1.0ms (12.9% of total)
ival-neg: 1.0ms (12.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory
23.5MiB live, 23.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-1.0033405896442237e-304
6.2322427158657245e-285
Samples
13.0ms176×0valid
7.0ms96×0invalid
Compiler

Compiled 768 to 535 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (38.7% of total)
ival-div: 2.0ms (15.5% of total)
ival-sqrt: 2.0ms (15.5% of total)
ival-add: 1.0ms (7.7% of total)
ival-sub: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
-1.0033405896442237e-304
6.2322427158657245e-285
Compiler

Compiled 746 to 524 computations (29.8% saved)

bsearch12.0ms (0.2%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-1.0033405896442237e-304
6.2322427158657245e-285
Samples
4.0ms48×0valid
3.0ms37×0invalid
Compiler

Compiled 504 to 403 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (50% of total)
ival-div: 1.0ms (25% of total)
ival-sqrt: 1.0ms (25% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.0033405896442237e-304
6.2322427158657245e-285
Compiler

Compiled 526 to 392 computations (25.5% saved)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.0033405896442237e-304
6.2322427158657245e-285
Compiler

Compiled 526 to 392 computations (25.5% saved)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.0033405896442237e-304
6.2322427158657245e-285
Compiler

Compiled 526 to 392 computations (25.5% saved)

bsearch99.0ms (1.3%)

Memory
-25.8MiB live, 24.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
95.0ms
3.2110873212289316e+40
5.520763761084791e+46
Samples
78.0ms69×2valid
6.0ms40×1valid
2.0ms32×0valid
1.0ms12×0invalid
1.0ms3valid
Compiler

Compiled 569 to 405 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
adjust: 5.0ms (26.6% of total)
ival-mult: 4.0ms (21.3% of total)
ival-sqrt: 3.0ms (16% of total)
ival-div: 2.0ms (10.6% of total)
ival-sub: 2.0ms (10.6% of total)
ival-add: 2.0ms (10.6% of total)
ival-neg: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify80.0ms (1.1%)

Memory
-18.0MiB live, 30.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0104729
1142729
2247729
3508729
41124729
52187715
62768715
73191715
83681715
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -780000000000000022255082716471345594809330292593721877870585089118114710108192865742919565312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 6859218272919525/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -120000000000000007304085773727301632 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 6859218272919525/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -4187840306000079/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 6859218272919525/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
(if (<=.f64 b #s(literal 78000000000000001644175529961851096924160 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Outputs
(if (<=.f64 b #s(literal -780000000000000022255082716471345594809330292593721877870585089118114710108192865742919565312 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 6859218272919525/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -120000000000000007304085773727301632 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 6859218272919525/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 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)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -4187840306000079/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) (if (<=.f64 b #s(literal 6859218272919525/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))))
(if (<=.f64 b #s(literal 78000000000000001644175529961851096924160 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))

derivations879.0ms (11.7%)

Memory
40.0MiB live, 317.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08195079
129975034
091064791
052316
092316
1354313
22281313
08541310
010496037
137155873
086055622
01251
02051
16551
248350
3583349
0885345
042266
068253
1226249
21747249
08349249
05603023
119423000
080642850
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 729 to 107 computations (85.3% saved)

preprocess109.0ms (1.5%)

Memory
13.1MiB live, 108.3MiB allocated
Compiler

Compiled 1 492 to 238 computations (84% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...