Cubic critical

Time bar (total: 15.5s)

analyze159.0ms (1%)

Algorithm
1×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 21 to 13 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 30.0ms (40.7% of total)
ival-sqrt: 10.0ms (13.6% of total)
ival-neg: 9.0ms (12.2% of total)
ival-div: 8.0ms (10.8% of total)
ival-sub: 7.0ms (9.5% of total)
ival-add: 7.0ms (9.5% of total)
const: 2.0ms (2.7% of total)
backward-pass: 1.0ms (1.4% of total)

sample2.1s (13.3%)

Results
697.0ms2003×2valid
579.0ms5456×0valid
240.0ms797×1valid
94.0ms905×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 400.0ms (35.3% of total)
ival-sqrt: 163.0ms (14.4% of total)
ival-neg: 153.0ms (13.5% of total)
ival-div: 150.0ms (13.2% of total)
ival-add: 86.0ms (7.6% of total)
backward-pass: 85.0ms (7.5% of total)
ival-sub: 81.0ms (7.1% of total)
const: 15.0ms (1.3% of total)
Bogosity

preprocess189.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
2336×fnmadd-define
1694×fma-define
1664×div-sub
1628×sum5-define
1602×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053165
1176150
2517150
31427150
44581150
01216
13015
26915
316815
429215
552115
6103415
7221715
8522615
9777815
0819415
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
Call 2
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a)))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a))))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a)))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a)))
(/ (+ (neg a) (sqrt (- (* a a) (* (* 3 b) c)))) (* 3 b))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 c) a)))) (* 3 c))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 3 a) b)))) (* 3 a))
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(/ (- (sqrt (fmsub b b (* a (* 3 c)))) b) (* 3 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a)))
(* (/ (- b (sqrt (fmsub b b (* a (* c -3))))) a) 1/3)
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a))
(/ (+ b (sqrt (fmsub b b (* a (* 3 c))))) (* 3 a))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a))
(* (/ (- b (sqrt (fmsub b b (* a (* c -3))))) a) -1/3)
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 (neg a)) c)))) (* 3 (neg a))))
(* (/ (- b (sqrt (fmsub b b (* a (* c -3))))) a) -1/3)
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 3 a) c)))) (* 3 a)))
(/ (+ b (sqrt (fmsub b b (* a (* 3 c))))) (* a -3))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) (neg c))))) (* 3 a)))
(* (/ (- b (sqrt (fmsub b b (* a (* c -3))))) a) 1/3)
(/ (+ (neg a) (sqrt (- (* a a) (* (* 3 b) c)))) (* 3 b))
(/ (- (sqrt (fmsub a a (* b (* 3 c)))) a) (* b 3))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 c) a)))) (* 3 c))
(/ (- (sqrt (fmsub b b (* a (* 3 c)))) b) (* 3 c))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 3 a) b)))) (* 3 a))
(/ (- (sqrt (fma b (* a -3) (* c c))) c) (* 3 a))

explain220.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
960-1(3.1204693988934642e-211 -1.3911748797023757e-161 6.532949878543296e-158)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
681(-2.1874282503116252e-227 1.8569678269690263e+105 -261028283.35945475)0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
250-1(-2.1874282503116252e-227 1.8569678269690263e+105 -261028283.35945475)(/.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))
50-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-(*.f64 #s(literal 3 binary64) a)
00-0-b
00-0-(neg.f64 b)
00-0-c
00-0-(*.f64 b b)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-#s(literal 3 binary64)
00-0-a
Results
114.0ms146×2valid
34.0ms302×0valid
18.0ms64×1valid
Compiler

Compiled 160 to 38 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 18.0ms (30.9% of total)
ival-div: 10.0ms (17.2% of total)
ival-sqrt: 7.0ms (12% of total)
backward-pass: 7.0ms (12% of total)
ival-neg: 5.0ms (8.6% of total)
ival-add: 5.0ms (8.6% of total)
ival-sub: 4.0ms (6.9% of total)
const: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.0%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
▶46.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify139.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
✓cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓cost-diff0
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
✓cost-diff0
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
✓cost-diff64
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓cost-diff64
(/.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))
Rules
2488×fnmadd-define
1478×fnmsub-define
1360×fma-define
1348×fmm-def
1328×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019126
148122
2108122
3205122
4343122
5586122
61144122
72351122
85045122
97110122
08229122
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
(neg b)
b
(sqrt (- (* b b) (* (* 3 a) c)))
(- (* b b) (* (* 3 a) c))
(* b b)
(* (* 3 a) c)
(* 3 a)
3
a
c
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a))
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
(* b b)
b
(* a (* c -3))
a
(* c -3)
c
-3
(* 3 a)
3
Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
b
(sqrt (- (* b b) (* (* 3 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
(- (* b b) (* (* 3 a) c))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
(* b b)
(*.f64 b b)
(* (* 3 a) c)
(*.f64 #s(literal 3 binary64) (*.f64 a c))
(* 3 a)
(*.f64 #s(literal 3 binary64) a)
3
#s(literal 3 binary64)
a
c
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
(+ (* b b) (* a (* c -3)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -3))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
a
(* c -3)
(*.f64 c #s(literal -3 binary64))
c
-3
#s(literal -3 binary64)
(* 3 a)
(*.f64 #s(literal 3 binary64) a)
3
#s(literal 3 binary64)

localize170.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓accuracy90.6%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
✓accuracy75.2%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓accuracy65.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
✓accuracy98.4%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
✓accuracy90.6%
(/.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))
✓accuracy75.2%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓accuracy65.2%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Results
60.0ms73×2valid
49.0ms151×0valid
12.0ms32×1valid
Compiler

Compiled 136 to 20 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 27.0ms (36.9% of total)
ival-mult: 21.0ms (28.7% of total)
ival-sqrt: 7.0ms (9.6% of total)
backward-pass: 6.0ms (8.2% of total)
ival-sub: 4.0ms (5.5% of total)
ival-add: 4.0ms (5.5% of total)
ival-neg: 3.0ms (4.1% of total)
const: 1.0ms (1.4% of total)

series32.0ms (0.2%)

Counts
8 → 288
Calls
Call 1
Inputs
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))>
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))>
#<alt (sqrt (- (* b b) (* (* 3 a) c)))>
#<alt (- (* b b) (* (* 3 a) c))>
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a))>
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)>
#<alt (sqrt (+ (* b b) (* a (* c -3))))>
#<alt (+ (* b b) (* a (* c -3)))>
Outputs
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -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)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -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))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* 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)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))>
#<alt (* 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)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -3 (* a c))>
#<alt (- (pow b 2) (* 3 (* a c)))>
#<alt (- (pow b 2) (* 3 (* a c)))>
#<alt (- (pow b 2) (* 3 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -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)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -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))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* 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)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))>
#<alt (* 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)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -3 (* a c))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
Calls

72 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(- (* b b) (* (* 3 a) c))
2.0ms
c
@-inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
2.0ms
a
@inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms
b
@inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms
c
@inf
(sqrt (- (* b b) (* (* 3 a) c)))

rewrite380.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
2588×/-lowering-/.f32
2588×/-lowering-/.f64
2512×*-lowering-*.f32
2512×*-lowering-*.f64
1756×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01990
111786
2108986
0876386
Stop Event
1×iter limit
1×node limit
Counts
8 → 754
Calls
Call 1
Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
(sqrt (- (* b b) (* (* 3 a) c)))
(- (* b b) (* (* 3 a) c))
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) (* 3 a))
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 #s(literal 3 binary64) a))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) a)) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) b) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) a))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b))))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (/.f64 (/.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 #s(literal 3 binary64) a))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (-.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))))
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))))
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (-.f64 (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))))
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 a c))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27 binary64) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) #s(literal 1 binary64)))

simplify317.0ms (2%)

Algorithm
1×egg-herbie
Rules
6018×*-lowering-*.f32
6018×*-lowering-*.f64
2330×+-lowering-+.f64
2330×+-lowering-+.f32
1524×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05706482
119496398
273326398
080586398
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -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)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* 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))))))))
(* (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 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (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))))))
(* (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)))))))))
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 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))))))))
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))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -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)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* 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))))))))
(* (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 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (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))))))
(* (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)))))))))
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 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))))))))
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))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) 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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 b (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/3 binary64) 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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a))))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) 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)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) 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)
(/.f64 (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 4 binary64))))) b)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* -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)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (*.f64 c (*.f64 c a))))) (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b (*.f64 b b))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b 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)))))))
(+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b))))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) 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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 #s(literal 1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) a)) a))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b)))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 c (+.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 a b)))))) (/.f64 #s(literal -1/2 binary64) b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(* 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))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))))))))
(* 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)))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 c a)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/24 binary64)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 a))
(* -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)))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1/8 binary64))))) (neg.f64 a))
(* -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))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -1/8 binary64))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (neg.f64 a))
b
(+ b (* -3/2 (/ (* a c) b)))
(+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))))))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64)))))
(* 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)))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))))
(* 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))))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))))) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (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)))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (*.f64 c a))))
(* -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 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 c))
(* -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 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))) (neg.f64 c))
(* -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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) #s(literal 1/2 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))) (neg.f64 c))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -3 binary64))))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -3 binary64))))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(*.f64 a (+.f64 (/.f64 (*.f64 b b) a) (*.f64 c #s(literal -3 binary64))))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(*.f64 (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(+ (* -3 (* a c)) (pow b 2))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3 binary64))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3 binary64))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -3 binary64))))
(* -3 (* a c))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (-.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))

eval144.0ms (0.9%)

Compiler

Compiled 43306 to 2552 computations (94.1% saved)

prune168.0ms (1.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1023191042
Fresh000
Picked112
Done000
Total1024201044
Accuracy
92.8%
Counts
1044 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
46.0%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
46.1%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
▶31.3%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
10.1%
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
44.5%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
9.9%
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a))
✓46.0%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
27.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
9.9%
(/.f64 (-.f64 b b) (*.f64 #s(literal 3 binary64) a))
▶28.0%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
24.4%
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
42.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
▶31.1%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
31.1%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
46.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
▶46.1%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
▶46.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
30.9%
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
42.3%
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b)))))
Compiler

Compiled 727 to 485 computations (33.3% saved)

simplify262.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
✓cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
✓cost-diff0
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))
✓cost-diff128
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
✓cost-diff128
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
✓cost-diff0
(*.f64 a #s(literal -3/2 binary64))
✓cost-diff0
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
✓cost-diff0
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)
✓cost-diff384
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
✓cost-diff0
(*.f64 b #s(literal -2/3 binary64))
✓cost-diff0
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
✓cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓cost-diff0
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64))
✓cost-diff128
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
Rules
3778×*-lowering-*.f32
3778×*-lowering-*.f64
1916×sum5-define
1708×fma-define
1564×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034259
186254
2238251
3820247
43048246
57422246
08270246
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) (/ 1 a))
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
(* b b)
b
(* a (* c -3))
a
(* c -3)
c
-3
3
(/ 1 a)
1
(/ (* b -2/3) a)
(* b -2/3)
b
-2/3
a
(/ (/ (* c (* a -3/2)) b) (* 3 a))
(/ (* c (* a -3/2)) b)
(* c (* a -3/2))
c
(* a -3/2)
a
-3/2
b
(* 3 a)
3
(/ (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) (* 3 a))
(* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b))
(+ 2 (/ (* c (* a -3/2)) (* b b)))
2
(/ (* c (* a -3/2)) (* b b))
(* c (* a -3/2))
c
(* a -3/2)
a
-3/2
(* b b)
b
(- 0 b)
0
(* 3 a)
3
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/ 1/3 a)
1/3
a
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
(* b b)
b
(* a (* c -3))
(* c -3)
c
-3
Outputs
(* (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) (/ 1 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal 3 binary64)))
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3)
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64))
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(+ (* b b) (* a (* c -3)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -3))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
a
(* c -3)
(*.f64 c #s(literal -3 binary64))
c
-3
#s(literal -3 binary64)
3
#s(literal 3 binary64)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(/ (* b -2/3) a)
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* b -2/3)
(*.f64 b #s(literal -2/3 binary64))
b
-2/3
#s(literal -2/3 binary64)
a
(/ (/ (* c (* a -3/2)) b) (* 3 a))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/ (* c (* a -3/2)) b)
(*.f64 a (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))
(* c (* a -3/2))
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
c
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
b
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) (* 3 a))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (/.f64 (/.f64 c b) b) b) #s(literal -3 binary64))))
(* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b))
(*.f64 b (+.f64 (*.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal 3/2 binary64)) #s(literal -2 binary64)))
(+ 2 (/ (* c (* a -3/2)) (* b b)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (*.f64 b b)))
2
#s(literal 2 binary64)
(/ (* c (* a -3/2)) (* b b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (*.f64 b b))
(* c (* a -3/2))
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
c
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
(* b b)
(*.f64 b b)
b
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal 3 binary64)))
(/ 1/3 a)
(/.f64 #s(literal 1/3 binary64) a)
1/3
#s(literal 1/3 binary64)
a
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(+ (* b b) (* a (* c -3)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -3))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* c -3)
(*.f64 c #s(literal -3 binary64))
c
-3
#s(literal -3 binary64)

localize288.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓accuracy90.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
✓accuracy75.2%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓accuracy65.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
✓accuracy99.7%
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
✓accuracy94.4%
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
✓accuracy94.1%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
✓accuracy81.6%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) a)
✓accuracy99.7%
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
✓accuracy92.5%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)
✓accuracy82.6%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
✓accuracy99.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓accuracy99.5%
(*.f64 b #s(literal -2/3 binary64))
✓accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓accuracy90.6%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
✓accuracy75.2%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓accuracy65.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
Results
104.0ms72×2valid
90.0ms152×0valid
24.0ms32×1valid
Compiler

Compiled 276 to 35 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-mult: 60.0ms (49.3% of total)
ival-div: 25.0ms (20.5% of total)
...c/correct-round.rkt:119:19: 11.0ms (9% of total)
backward-pass: 11.0ms (9% of total)
ival-sub: 5.0ms (4.1% of total)
ival-sqrt: 4.0ms (3.3% of total)
ival-add: 4.0ms (3.3% of total)
const: 1.0ms (0.8% of total)

series73.0ms (0.5%)

Counts
18 → 528
Calls
Call 1
Inputs
#<alt (* (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) (/ 1 a))>
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3)>
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)>
#<alt (sqrt (+ (* b b) (* a (* c -3))))>
#<alt (/ (* b -2/3) a)>
#<alt (* b -2/3)>
#<alt (/ (/ (* c (* a -3/2)) b) (* 3 a))>
#<alt (/ (* c (* a -3/2)) b)>
#<alt (* c (* a -3/2))>
#<alt (* a -3/2)>
#<alt (/ (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) (* 3 a))>
#<alt (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b))>
#<alt (+ 2 (/ (* c (* a -3/2)) (* b b)))>
#<alt (/ (* c (* a -3/2)) (* b b))>
#<alt (* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* c -3)))) b))>
#<alt (/ 1/3 a)>
#<alt (+ (* b b) (* a (* c -3)))>
#<alt (* 3 a)>
Outputs
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -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)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -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))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* 1/3 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))>
#<alt (+ (* 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)))>
#<alt (* -1/2 (/ (* a c) b))>
#<alt (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* -2/3 b)>
#<alt (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt (* -1/2 (/ (* a c) b))>
#<alt (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* 1/3 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* -1/2 (/ (* a c) b))>
#<alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* 1/3 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* 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)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))>
#<alt (* 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))>
#<alt (* 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)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
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#<alt (* -1 b)>
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#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
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#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
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#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
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#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -2/3 b)>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
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#<alt (* -1/2 (/ c b))>
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#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
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#<alt (* -3/2 (/ (* a c) b))>
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#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (* a c))>
#<alt (* -3/2 (* a c))>
#<alt (* -3/2 (* a c))>
#<alt (* -3/2 (* a c))>
#<alt (* -3/2 (* a c))>
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#<alt (* -3/2 (* a c))>
#<alt (* -3/2 a)>
#<alt (* -3/2 a)>
#<alt (* -3/2 a)>
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#<alt (* -3/2 a)>
#<alt (* -3/2 a)>
#<alt (* -3/2 a)>
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#<alt (* -3/2 a)>
#<alt (* -2/3 (/ b a))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (* 1/2 (/ c b))>
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* 1/2 (/ c b))>
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -2/3 (/ b a))>
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)>
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)>
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)>
#<alt (* 1/2 (/ c b))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (* 1/2 (/ c b))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (* 1/2 (/ c b))>
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)>
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)>
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -2 b)>
#<alt (+ (* -2 b) (* 3/2 (/ (* a c) b)))>
#<alt (+ (* -2 b) (* 3/2 (/ (* a c) b)))>
#<alt (+ (* -2 b) (* 3/2 (/ (* a c) b)))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))>
#<alt (* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))>
#<alt (* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))>
#<alt (* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))>
#<alt (* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))>
#<alt (* -2 b)>
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#<alt (+ (* -2 b) (* 3/2 (/ (* a c) b)))>
#<alt (+ (* -2 b) (* 3/2 (/ (* a c) b)))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))>
#<alt (* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))>
#<alt (* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))>
#<alt (* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))>
#<alt (* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)>
#<alt (/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)>
#<alt (/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)>
#<alt (* -2 b)>
#<alt (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))>
#<alt (* -2 b)>
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#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt 2>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt 2>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt (/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt (/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt 2>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt 2>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -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))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -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)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (* -3 (* a c))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
Calls

132 calls:

TimeVariablePointExpression
31.0ms
a
@inf
(/ (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) (* 3 a))
5.0ms
a
@-inf
(/ (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) (* 3 a))
2.0ms
b
@0
(/ (* b -2/3) a)
1.0ms
c
@0
(/ (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) (* 3 a))
1.0ms
c
@inf
(/ (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) (* 3 a))

rewrite398.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
4612×*-lowering-*.f32
4612×*-lowering-*.f64
4588×/-lowering-/.f32
4588×/-lowering-/.f64
1530×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034163
1190160
21677157
08696157
Stop Event
1×iter limit
1×node limit
Counts
18 → 970
Calls
Call 1
Inputs
(* (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) (/ 1 a))
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(/ (* b -2/3) a)
(* b -2/3)
(/ (/ (* c (* a -3/2)) b) (* 3 a))
(/ (* c (* a -3/2)) b)
(* c (* a -3/2))
(* a -3/2)
(/ (* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) (* 3 a))
(* (+ 2 (/ (* c (* a -3/2)) (* b b))) (- 0 b))
(+ 2 (/ (* c (* a -3/2)) (* b b)))
(/ (* c (* a -3/2)) (* b b))
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/ 1/3 a)
(+ (* b b) (* a (* c -3)))
(* 3 a)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) a) (/.f64 (/.f64 b #s(literal 3 binary64)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 b (/.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))) (/.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) (/.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 0 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 b (/.f64 a #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (*.f64 a #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1 binary64)) (*.f64 a #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal -1/3 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) a))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) #s(literal -1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))))
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(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a #s(literal -1/3 binary64)))
(/.f64 a #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)

simplify480.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
7748×*-lowering-*.f32
7748×*-lowering-*.f64
4112×+-lowering-+.f64
4112×+-lowering-+.f32
1904×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07497385
126457314
083047314
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -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)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* -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)))
(* -1/2 (/ (* a c) 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)
(* -2/3 b)
(* -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))))))))
(* -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))))))))
(* 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)))))))
(* -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)))))))
(* -1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 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)))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* 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))))))))
(* (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 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (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))))))
(* (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)))))))))
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 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))))))))
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))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ c b))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -2 b)
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(* 3/2 (/ (* a c) b))
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))
(* 3/2 (/ (* a c) b))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(* -2 b)
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(* 3/2 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))
(* 3/2 (/ (* a c) b))
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))
(* 3/2 (/ (* a c) b))
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(* -2 b)
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(* -3/2 (/ (* a c) (pow b 2)))
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* -3/2 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(* -3/2 (/ (* a c) (pow b 2)))
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -3/2 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -3/2 (/ (* a c) (pow b 2)))
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) 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)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a))))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) a) (*.f64 b b))) 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)
(/.f64 (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) a) (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) 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)
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b
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b
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b
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(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))

eval291.0ms (1.9%)

Compiler

Compiled 49419 to 3976 computations (92% saved)

prune300.0ms (1.9%)

Pruning

45 alts after pruning (43 fresh and 2 done)

PrunedKeptTotal
New1777361813
Fresh7714
Picked415
Done011
Total1788451833
Accuracy
92.8%
Counts
1833 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
46.0%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
9.4%
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
31.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
44.5%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
✓46.0%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
27.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
23.2%
(/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
21.5%
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 b b)) (/.f64 c (/.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a))
28.0%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
27.6%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
35.1%
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)
▶24.4%
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
30.1%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
9.3%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
42.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓31.1%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
31.1%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
30.9%
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) (*.f64 #s(literal 3 binary64) a))
▶31.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
46.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
31.1%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
46.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)))
31.0%
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
36.5%
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) c) #s(literal -1 binary64)) (pow.f64 (/.f64 a (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
31.2%
(*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) a) #s(literal 1/3 binary64))
▶46.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
27.6%
(*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
20.6%
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) b)))
33.3%
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 a b))
31.2%
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
42.7%
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) a) (/.f64 c (*.f64 #s(literal 3 binary64) b)))
42.7%
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
31.1%
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
10.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) b))
27.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
33.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
▶31.1%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
▶30.2%
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a)))
34.1%
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
39.7%
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
36.6%
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
35.5%
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a b))))
31.1%
(*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
14.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 1475 to 1017 computations (31.1% saved)

simplify242.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 a #s(literal -3/2 binary64)) b)
✓cost-diff256
(+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))
✓cost-diff256
(*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))
✓cost-diff256
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
✓cost-diff0
(*.f64 a #s(literal -3/2 binary64))
✓cost-diff0
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
✓cost-diff128
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
✓cost-diff512
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a)))
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(/.f64 (*.f64 a c) b)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b))
✓cost-diff256
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
✓cost-diff0
(/.f64 #s(literal -2/3 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓cost-diff0
(/.f64 #s(literal 1 binary64) a)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
Rules
2890×*-lowering-*.f32
2890×*-lowering-*.f64
1974×/-lowering-/.f32
1974×/-lowering-/.f64
1640×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042249
1114243
2344243
31139232
42510229
53304229
64487229
76028229
08115229
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ 1 a) 3) (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/ (/ 1 a) 3)
(/ 1 a)
1
a
3
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
(* b b)
b
(* a (* c -3))
(* c -3)
c
-3
(* (/ -2/3 a) b)
(/ -2/3 a)
-2/3
a
b
(/ (* -1/2 (/ (* a c) b)) a)
(* -1/2 (/ (* a c) b))
-1/2
(/ (* a c) b)
(* a c)
a
c
b
(* (* c (* a -3/2)) (* 1/3 (/ (/ 1 b) a)))
(* c (* a -3/2))
c
(* a -3/2)
a
-3/2
(* 1/3 (/ (/ 1 b) a))
1/3
(/ (/ 1 b) a)
(/ 1 b)
1
b
(/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))
(* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b)))))
c
(+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))
(/ (* a -3/2) b)
(* a -3/2)
a
-3/2
b
(/ (* c (* (* a a) -9/8)) (* b (* b b)))
(* c (* (* a a) -9/8))
(* (* a a) -9/8)
(* a a)
-9/8
(* b (* b b))
(* b b)
(* 3 a)
3
Outputs
(* (/ (/ 1 a) 3) (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal 3 binary64)))
(/ (/ 1 a) 3)
(/.f64 #s(literal 1/3 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
3
#s(literal 3 binary64)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(+ (* b b) (* a (* c -3)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -3))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* c -3)
(*.f64 c #s(literal -3 binary64))
c
-3
#s(literal -3 binary64)
(* (/ -2/3 a) b)
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/ -2/3 a)
(/.f64 #s(literal -2/3 binary64) a)
-2/3
#s(literal -2/3 binary64)
a
b
(/ (* -1/2 (/ (* a c) b)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* -1/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b)
-1/2
#s(literal -1/2 binary64)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(* a c)
(*.f64 a c)
a
c
b
(* (* c (* a -3/2)) (* 1/3 (/ (/ 1 b) a)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* c (* a -3/2))
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
c
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
(* 1/3 (/ (/ 1 b) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) b)
1/3
#s(literal 1/3 binary64)
(/ (/ 1 b) a)
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))
(/.f64 (*.f64 c (*.f64 (/.f64 a b) (+.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 (*.f64 a (/.f64 #s(literal -9/8 binary64) b)) b))))) (*.f64 a #s(literal 3 binary64)))
(* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b)))))
(*.f64 c (*.f64 (/.f64 a b) (+.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 (*.f64 a (/.f64 #s(literal -9/8 binary64) b)) b)))))
c
(+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))
(*.f64 (/.f64 a b) (+.f64 #s(literal -3/2 binary64) (*.f64 c (/.f64 (*.f64 a (/.f64 #s(literal -9/8 binary64) b)) b))))
(/ (* a -3/2) b)
(/.f64 (*.f64 a #s(literal -3/2 binary64)) b)
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
b
(/ (* c (* (* a a) -9/8)) (* b (* b b)))
(/.f64 (*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) (*.f64 b (*.f64 b b)))
(* c (* (* a a) -9/8))
(*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64))))
(* (* a a) -9/8)
(*.f64 a (*.f64 a #s(literal -9/8 binary64)))
(* a a)
(*.f64 a a)
-9/8
#s(literal -9/8 binary64)
(* b (* b b))
(*.f64 b (*.f64 b b))
(* b b)
(*.f64 b b)
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize385.0ms (2.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy91.4%
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
✓accuracy91.0%
(*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))))
✓accuracy86.4%
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
✓accuracy76.8%
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
✓accuracy99.7%
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
✓accuracy71.9%
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a)))
✓accuracy100.0%
(*.f64 a c)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b))
✓accuracy92.5%
(/.f64 (*.f64 a c) b)
✓accuracy82.6%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓accuracy99.4%
(/.f64 #s(literal -2/3 binary64) a)
✓accuracy98.4%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓accuracy90.7%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
✓accuracy75.2%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓accuracy65.2%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
Results
183.0ms73×2valid
96.0ms151×0valid
29.0ms32×1valid
Compiler

Compiled 277 to 43 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 94.0ms (47.9% of total)
ival-sqrt: 29.0ms (14.8% of total)
ival-div: 27.0ms (13.8% of total)
backward-pass: 26.0ms (13.3% of total)
...c/correct-round.rkt:119:19: 12.0ms (6.1% of total)
ival-add: 4.0ms (2% of total)
const: 2.0ms (1% of total)
ival-sub: 2.0ms (1% of total)

series44.0ms (0.3%)

Counts
23 → 648
Calls
Call 1
Inputs
#<alt (* (/ (/ 1 a) 3) (- (sqrt (+ (* b b) (* a (* c -3)))) b))>
#<alt (/ (/ 1 a) 3)>
#<alt (/ 1 a)>
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)>
#<alt (* (/ -2/3 a) b)>
#<alt (/ -2/3 a)>
#<alt (/ (* -1/2 (/ (* a c) b)) a)>
#<alt (* -1/2 (/ (* a c) b))>
#<alt (/ (* a c) b)>
#<alt (* a c)>
#<alt (* (* c (* a -3/2)) (* 1/3 (/ (/ 1 b) a)))>
#<alt (* 1/3 (/ (/ 1 b) a))>
#<alt (* c (* a -3/2))>
#<alt (* a -3/2)>
#<alt (/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))>
#<alt (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b)))))>
#<alt (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))>
#<alt (/ (* a -3/2) b)>
#<alt (sqrt (+ (* b b) (* a (* c -3))))>
#<alt (+ (* b b) (* a (* c -3)))>
#<alt (/ (/ 1 b) a)>
#<alt (/ (* c (* (* a a) -9/8)) (* b (* b b)))>
#<alt (* c (* (* a a) -9/8))>
Outputs
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
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#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (* -1/2 (/ c b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))>
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))>
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))>
#<alt (* -3/2 (/ a b))>
#<alt (* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))>
#<alt (* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))>
#<alt (* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))>
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))>
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))>
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))>
#<alt (* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))>
#<alt (/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))>
#<alt (/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))>
#<alt (* -3/2 (/ a b))>
#<alt (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (* -3/2 (/ a b))>
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))>
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))>
#<alt (* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))>
#<alt (* -3/2 (/ a b))>
#<alt (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))>
#<alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))>
#<alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* -3/2 (/ a b))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -3 (* a c))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (/ (* (pow a 2) c) (pow b 3)))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
#<alt (* -9/8 (* (pow a 2) c))>
Calls

162 calls:

TimeVariablePointExpression
2.0ms
c
@0
(/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))
1.0ms
b
@0
(/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))
1.0ms
a
@inf
(/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))
1.0ms
a
@0
(/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))
1.0ms
b
@-inf
(/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))

rewrite455.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
2980×*-lowering-*.f32
2980×*-lowering-*.f64
2908×/-lowering-/.f32
2908×/-lowering-/.f64
2164×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042191
1218185
22003185
08425185
Stop Event
1×iter limit
1×node limit
Counts
23 → 752
Calls
Call 1
Inputs
(* (/ (/ 1 a) 3) (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/ (/ 1 a) 3)
(/ 1 a)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(* (/ -2/3 a) b)
(/ -2/3 a)
(/ (* -1/2 (/ (* a c) b)) a)
(* -1/2 (/ (* a c) b))
(/ (* a c) b)
(* a c)
(* (* c (* a -3/2)) (* 1/3 (/ (/ 1 b) a)))
(* 1/3 (/ (/ 1 b) a))
(* c (* a -3/2))
(* a -3/2)
(/ (* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))) (* 3 a))
(* c (+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b)))))
(+ (/ (* a -3/2) b) (/ (* c (* (* a a) -9/8)) (* b (* b b))))
(/ (* a -3/2) b)
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
(/ (/ 1 b) a)
(/ (* c (* (* a a) -9/8)) (* b (* b b)))
(* c (* (* a a) -9/8))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 a #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/3 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a))))
(/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -3 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) a)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal -3 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a)) #s(literal -3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1 binary64)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (/.f64 #s(literal -1 binary64) a)) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (*.f64 a #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #s(literal -3 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)))) (neg.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)))) (neg.f64 (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (*.f64 a #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 #s(literal -3 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)))) (neg.f64 (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 a #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) a))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 a #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1 binary64))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (/.f64 #s(literal -1 binary64) a))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
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(*.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal -9/8 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (/.f64 c b)))
(*.f64 (pow.f64 (/.f64 b (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 a (*.f64 a #s(literal -9/8 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (*.f64 c (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) #s(literal -9/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (/.f64 b #s(literal -9/8 binary64)) #s(literal -1 binary64)))
(*.f64 a (*.f64 (*.f64 a #s(literal -9/8 binary64)) c))
(*.f64 c (*.f64 a (*.f64 a #s(literal -9/8 binary64))))
(*.f64 (*.f64 a c) (*.f64 a #s(literal -9/8 binary64)))
(*.f64 (*.f64 a a) (*.f64 #s(literal -9/8 binary64) c))
(*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 a a)))
(*.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) c)
(*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/8 binary64))
(*.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a a))

simplify489.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
7046×*-lowering-*.f32
7046×*-lowering-*.f64
3034×+-lowering-+.f64
3034×+-lowering-+.f32
1824×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06397057
121697015
278917015
080517015
Stop Event
1×iter limit
1×node limit
Counts
648 → 648
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)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* 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))))))))
(* (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 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (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))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(/ -2/3 a)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(* -1/2 (/ (* a c) b))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
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(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(/ 1/3 (* a b))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 (* a c))
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1/2 (/ c b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(* -3/2 (/ (* a c) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b))
(* -3/2 (/ a b))
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))
(* (pow a 2) (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))
(/ (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))) (pow b 3))
(* -3/2 (/ a b))
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b)
(* -3/2 (/ a b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b))
(* -3/2 (/ a b))
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* c (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c))))))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* -3/2 (/ a b))
(* (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)))))))))
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 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))))))))
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))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
(* -9/8 (* (pow a 2) c))
Outputs
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b (*.f64 b b))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b 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)))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) 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)))))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
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(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 b a))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (/ (* (pow a 2) c) (pow b 3)))
(/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))
(* -9/8 (* (pow a 2) c))
(*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64)))

eval316.0ms (2%)

Compiler

Compiled 32362 to 3166 computations (90.2% saved)

prune230.0ms (1.5%)

Pruning

50 alts after pruning (45 fresh and 5 done)

PrunedKeptTotal
New1408141422
Fresh73138
Picked235
Done022
Total1417501467
Accuracy
92.8%
Counts
1467 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
46.0%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
7.9%
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c (*.f64 a a))) #s(literal -9/8 binary64))) c) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
9.4%
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
31.1%
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
31.2%
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
31.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
31.2%
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c))) a)
44.5%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
✓46.0%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
27.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
23.2%
(/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
21.5%
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 b b)) (/.f64 c (/.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a))
31.1%
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) a)
28.0%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
▶27.6%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
35.1%
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)
25.5%
(/.f64 (*.f64 c (/.f64 (+.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
30.1%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
9.3%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
▶42.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓31.1%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
30.9%
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) (*.f64 #s(literal 3 binary64) a))
✓31.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
31.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (/.f64 a b))) a)
46.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
31.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2/3 binary64)) b))
46.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)))
31.0%
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
36.5%
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) c) #s(literal -1 binary64)) (pow.f64 (/.f64 a (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
✓46.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
27.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
27.9%
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a #s(literal -9/8 binary64)) c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) #s(literal 3 binary64)) (/.f64 c a))
20.6%
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) b)))
33.3%
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 a b))
42.7%
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) a) (/.f64 c (*.f64 #s(literal 3 binary64) b)))
▶42.7%
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
34.0%
(*.f64 (/.f64 a #s(literal -2/3 binary64)) (*.f64 c (/.f64 #s(literal 1/3 binary64) (*.f64 a b))))
10.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) b))
▶46.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
27.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
33.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
✓31.1%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
31.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3/2 binary64))) b)
31.1%
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
▶34.1%
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
39.7%
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
36.6%
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
35.5%
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a b))))
14.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 1632 to 1108 computations (32.1% saved)

simplify269.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b)))
✓cost-diff256
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))))
✓cost-diff320
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
✓cost-diff384
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
✓cost-diff0
(*.f64 a #s(literal -3/2 binary64))
✓cost-diff64
(neg.f64 (*.f64 a #s(literal -3/2 binary64)))
✓cost-diff448
(/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64)))
✓cost-diff576
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
✓cost-diff0
(*.f64 b (/.f64 a #s(literal 1/3 binary64)))
✓cost-diff0
(/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
✓cost-diff0
(*.f64 a #s(literal -3/2 binary64))
✓cost-diff384
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
✓cost-diff0
(*.f64 c #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))
✓cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
Rules
4500×*-lowering-*.f32
4500×*-lowering-*.f64
1962×/-lowering-/.f32
1962×/-lowering-/.f64
1604×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044365
1128362
2472338
32412324
46045318
08317318
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* -3 (* a c)))) b))
(/ 1/3 a)
1/3
a
(- (sqrt (+ (* b b) (* -3 (* a c)))) b)
(sqrt (+ (* b b) (* -3 (* a c))))
(+ (* b b) (* -3 (* a c)))
(* b b)
b
(* -3 (* a c))
-3
(* a c)
c
(/ (* c -1/2) b)
(* c -1/2)
c
-1/2
b
(* (* a -3/2) (/ c (* b (/ a 1/3))))
(* a -3/2)
a
-3/2
(/ c (* b (/ a 1/3)))
c
(* b (/ a 1/3))
b
(/ a 1/3)
1/3
(* (/ (neg (* a -3/2)) (/ a 1/3)) (/ c (- 0 b)))
(/ (neg (* a -3/2)) (/ a 1/3))
(neg (* a -3/2))
(* a -3/2)
a
-3/2
(/ a 1/3)
1/3
(/ c (- 0 b))
c
(- 0 b)
0
b
(/ (* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b)) (* 3 a))
(* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b))
(* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b)))))
(- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b)))
4
(/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))
(* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b))
(/ (* c (* a -3/2)) b)
(* c (* a -3/2))
c
(* a -3/2)
a
-3/2
b
(* b b)
(/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))
1
(- 2 (/ (* c (* a -3/2)) (* b b)))
2
(/ (* c (* a -3/2)) (* b b))
(- 0 b)
0
(* 3 a)
3
Outputs
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* -3 (* a c)))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)) a)
(/ 1/3 a)
(/.f64 #s(literal 1/3 binary64) a)
1/3
#s(literal 1/3 binary64)
a
(- (sqrt (+ (* b b) (* -3 (* a c)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b)
(sqrt (+ (* b b) (* -3 (* a c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(+ (* b b) (* -3 (* a c)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) c)))
(* b b)
(*.f64 b b)
b
(* -3 (* a c))
(*.f64 a (*.f64 #s(literal -3 binary64) c))
-3
#s(literal -3 binary64)
(* a c)
(*.f64 a c)
c
(/ (* c -1/2) b)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* c -1/2)
(*.f64 c #s(literal -1/2 binary64))
c
-1/2
#s(literal -1/2 binary64)
b
(* (* a -3/2) (/ c (* b (/ a 1/3))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
(/ c (* b (/ a 1/3)))
(/.f64 c (/.f64 (*.f64 a b) #s(literal 1/3 binary64)))
c
(* b (/ a 1/3))
(/.f64 (*.f64 a b) #s(literal 1/3 binary64))
b
(/ a 1/3)
(/.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (/ (neg (* a -3/2)) (/ a 1/3)) (/ c (- 0 b)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (neg (* a -3/2)) (/ a 1/3))
#s(literal 1/2 binary64)
(neg (* a -3/2))
(*.f64 a #s(literal 3/2 binary64))
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
(/ a 1/3)
(/.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ c (- 0 b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
c
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
b
(/ (* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b)) (* 3 a))
(/.f64 (/.f64 (*.f64 b (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 9/4 binary64))) (*.f64 (*.f64 b (*.f64 b b)) b))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) b)))) #s(literal -3 binary64)) a)
(* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b))
(*.f64 b (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 9/4 binary64))) (*.f64 (*.f64 b (*.f64 b b)) b))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) b)))))
(* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 9/4 binary64))) (*.f64 (*.f64 b (*.f64 b b)) b))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) b)))
(- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b)))
(-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 9/4 binary64))) (*.f64 (*.f64 b (*.f64 b b)) b)))
4
#s(literal 4 binary64)
(/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))
(/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 9/4 binary64))) (*.f64 (*.f64 b (*.f64 b b)) b))
(* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b))
(/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 9/4 binary64))) (*.f64 b b))
(/ (* c (* a -3/2)) b)
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)
(* c (* a -3/2))
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
c
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
b
(* b b)
(*.f64 b b)
(/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) b)))
1
#s(literal 1 binary64)
(- 2 (/ (* c (* a -3/2)) (* b b)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 a c) b)) b))
2
#s(literal 2 binary64)
(/ (* c (* a -3/2)) (* b b))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize584.0ms (3.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy96.8%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
✓accuracy94.1%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)
✓accuracy87.5%
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))))
✓accuracy85.5%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
✓accuracy100.0%
(*.f64 a #s(literal -3/2 binary64))
✓accuracy100.0%
(neg.f64 (*.f64 a #s(literal -3/2 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
✓accuracy99.8%
(/.f64 a #s(literal 1/3 binary64))
✓accuracy99.9%
(*.f64 b (/.f64 a #s(literal 1/3 binary64)))
✓accuracy99.8%
(/.f64 a #s(literal 1/3 binary64))
✓accuracy92.6%
(/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
✓accuracy91.5%
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
✓accuracy100.0%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓accuracy100.0%
(*.f64 c #s(literal -1/2 binary64))
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))
✓accuracy93.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
✓accuracy81.9%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
✓accuracy76.7%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))
Results
327.0ms88×5exit
65.0ms53×2valid
47.0ms92×0valid
20.0ms23×1valid
Compiler

Compiled 399 to 45 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 248.0ms
backward-pass: 101.0ms (40.8% of total)
ival-mult: 49.0ms (19.8% of total)
ival-div: 47.0ms (19% of total)
...c/correct-round.rkt:119:19: 26.0ms (10.5% of total)
ival-sub: 11.0ms (4.4% of total)
ival-add: 5.0ms (2% of total)
ival-sqrt: 5.0ms (2% of total)
const: 2.0ms (0.8% of total)
ival-neg: 2.0ms (0.8% of total)

series74.0ms (0.5%)

Counts
21 → 588
Calls
Call 1
Inputs
#<alt (* (/ 1/3 a) (- (sqrt (+ (* b b) (* -3 (* a c)))) b))>
#<alt (/ 1/3 a)>
#<alt (- (sqrt (+ (* b b) (* -3 (* a c)))) b)>
#<alt (sqrt (+ (* b b) (* -3 (* a c))))>
#<alt (/ (* c -1/2) b)>
#<alt (* c -1/2)>
#<alt (* (* a -3/2) (/ c (* b (/ a 1/3))))>
#<alt (* a -3/2)>
#<alt (/ c (* b (/ a 1/3)))>
#<alt (* b (/ a 1/3))>
#<alt (* (/ (neg (* a -3/2)) (/ a 1/3)) (/ c (- 0 b)))>
#<alt (/ (neg (* a -3/2)) (/ a 1/3))>
#<alt (neg (* a -3/2))>
#<alt (/ (* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b)) (* 3 a))>
#<alt (* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b))>
#<alt (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b)))))>
#<alt (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b)))>
#<alt (+ (* b b) (* -3 (* a c)))>
#<alt (/ a 1/3)>
#<alt (/ (* c (* a -3/2)) (* b b))>
#<alt (/ (* c (* a -3/2)) b)>
Outputs
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -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)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -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))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -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)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (/ 1/3 a)>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* 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)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt (* -3/2 (/ (* a c) b))>
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#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))>
#<alt 2>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt (/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt (/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))>
#<alt 2>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt 2>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt (+ 2 (* -3/2 (/ (* a c) (pow b 2))))>
#<alt 4>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))>
#<alt (* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))>
#<alt (* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))>
#<alt (* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))>
#<alt (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))>
#<alt (* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))>
#<alt (* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))>
#<alt (* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))>
#<alt 4>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))>
#<alt (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))>
#<alt (* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))>
#<alt (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))>
#<alt (/ (- (* 4 (pow b 4)) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))>
#<alt (/ (- (* 4 (pow b 4)) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))>
#<alt (/ (- (* 4 (pow b 4)) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))>
#<alt 4>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt 4>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))>
#<alt (* -3 (* a c))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) (pow b 2)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
Calls

147 calls:

TimeVariablePointExpression
15.0ms
a
@inf
(* b (/ a 1/3))
13.0ms
c
@inf
(* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b))
12.0ms
a
@0
(/ (* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b)) (* 3 a))
3.0ms
c
@inf
(/ (* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b)) (* 3 a))
2.0ms
b
@0
(/ (* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b)) (* 3 a))

rewrite449.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
5402×*-lowering-*.f32
5402×*-lowering-*.f64
3214×/-lowering-/.f32
3214×/-lowering-/.f64
2084×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044226
1270169
22522165
08891165
Stop Event
1×iter limit
1×node limit
Counts
21 → 709
Calls
Call 1
Inputs
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* -3 (* a c)))) b))
(/ 1/3 a)
(- (sqrt (+ (* b b) (* -3 (* a c)))) b)
(sqrt (+ (* b b) (* -3 (* a c))))
(/ (* c -1/2) b)
(* c -1/2)
(* (* a -3/2) (/ c (* b (/ a 1/3))))
(* a -3/2)
(/ c (* b (/ a 1/3)))
(* b (/ a 1/3))
(* (/ (neg (* a -3/2)) (/ a 1/3)) (/ c (- 0 b)))
(/ (neg (* a -3/2)) (/ a 1/3))
(neg (* a -3/2))
(/ (* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b)) (* 3 a))
(* (* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b))))) (- 0 b))
(* (- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b))) (/ 1 (- 2 (/ (* c (* a -3/2)) (* b b)))))
(- 4 (/ (* (/ (* c (* a -3/2)) b) (/ (* c (* a -3/2)) b)) (* b b)))
(+ (* b b) (* -3 (* a c)))
(/ a 1/3)
(/ (* c (* a -3/2)) (* b b))
(/ (* c (* a -3/2)) b)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (/.f64 #s(literal 1/3 binary64) a) (/.f64 b (/.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal -1/3 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) a))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) #s(literal -1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1 binary64)) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
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(pow.f64 (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 #s(literal 3/2 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) b))))
(*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (*.f64 a c) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))
(*.f64 (*.f64 a #s(literal 3/2 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 3/2 binary64)))
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) b)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b))))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) b))))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c (*.f64 a #s(literal -3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -3/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (*.f64 b b))) (*.f64 b b))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) (pow.f64 (*.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) #s(literal 1 binary64)) b)
(*.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b))

simplify495.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
7012×*-lowering-*.f32
7012×*-lowering-*.f64
3146×+-lowering-+.f64
3146×+-lowering-+.f32
1724×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06516493
122256424
279166424
080766424
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
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)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(/ 1/3 a)
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* 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))))))))
(* (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 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (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))))))
(* (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)))))))))
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 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))))))))
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))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* -3/2 a)
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 1/3 (/ c (* a b)))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* 3 (* a b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* 3/2 a)
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ c b))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -2 b)
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(* 3/2 (/ (* a c) b))
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))
(* 3/2 (/ (* a c) b))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(* -2 b)
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(* 3/2 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b))))
(* 3/2 (/ (* a c) b))
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))
(* 3/2 (/ (* a c) b))
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(* -2 b)
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(* -3/2 (/ (* a c) (pow b 2)))
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* -3/2 (/ (* a c) (pow b 2)))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(* -3/2 (/ (* a c) (pow b 2)))
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -3/2 (/ (* a c) (pow b 2)))
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -3/2 (/ (* a c) (pow b 2)))
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
4
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))
(* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))
(* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))
(* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))
(* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))
(* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))
(* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))
(* (pow c 2) (- (* 4 (/ 1 (pow c 2))) (* 9/4 (/ (pow a 2) (pow b 4)))))
4
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))
(* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))
(* (pow a 2) (- (* 4 (/ 1 (pow a 2))) (* 9/4 (/ (pow c 2) (pow b 4)))))
(* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))
(/ (- (* 4 (pow b 4)) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))
(/ (- (* 4 (pow b 4)) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))
(/ (- (* 4 (pow b 4)) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))
4
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
4
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(+ 4 (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) (pow b 2)))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
Outputs
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 c (/.f64 c (*.f64 b b))) b) a)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b 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)))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) 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)))))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 b #s(literal 1/3 binary64))) a))
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b
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(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(* -3/2 (/ (* a c) b))
(*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))

eval329.0ms (2.1%)

Compiler

Compiled 40121 to 3618 computations (91% saved)

prune299.0ms (1.9%)

Pruning

54 alts after pruning (46 fresh and 8 done)

PrunedKeptTotal
New1481151496
Fresh93140
Picked235
Done055
Total1492541546
Accuracy
92.8%
Counts
1546 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
46.0%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
7.9%
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c (*.f64 a a))) #s(literal -9/8 binary64))) c) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
9.4%
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
35.1%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) b)
31.1%
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
31.2%
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
31.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
31.2%
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c))) a)
44.5%
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
✓46.0%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
27.6%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
9.3%
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
33.8%
(/.f64 (*.f64 (/.f64 c b) (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64)))
31.1%
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) a)
35.1%
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)
9.4%
(/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
9.3%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
✓42.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓31.1%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓31.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
31.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (/.f64 a b))) a)
42.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal -1/2 binary64)) c))
46.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
31.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2/3 binary64)) b))
46.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)))
31.0%
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
42.3%
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 c (/.f64 c (*.f64 b b))) b) a)))
36.5%
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) c) #s(literal -1 binary64)) (pow.f64 (/.f64 a (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
✓46.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
27.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
27.9%
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a #s(literal -9/8 binary64)) c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) #s(literal 3 binary64)) (/.f64 c a))
20.6%
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) b)))
17.8%
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))
28.4%
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)
33.3%
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 a b))
42.7%
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) a) (/.f64 c (*.f64 #s(literal 3 binary64) b)))
9.9%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b))
✓46.1%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
27.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
33.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
42.8%
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
✓31.1%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
31.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3/2 binary64))) b)
34.1%
(*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 b (/.f64 #s(literal 1/3 binary64) a)) c)) a)
23.0%
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9/4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) (/.f64 a #s(literal 1/3 binary64))))
31.1%
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
✓34.1%
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
15.5%
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64))))))
37.5%
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 (/.f64 (/.f64 c b) a) #s(literal 1/3 binary64)))
39.7%
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
36.6%
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
20.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b #s(literal -1/2 binary64)) c)) #s(literal -1 binary64)))
14.3%
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 2071 to 934 computations (54.9% saved)

regimes193.0ms (1.2%)

Counts
86 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3/2 binary64))) b)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2/3 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a b))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (/.f64 a b))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c))) a)
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 (/.f64 (/.f64 c b) a) #s(literal 1/3 binary64)))
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 b (/.f64 #s(literal 1/3 binary64) a)) c)) a)
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(*.f64 (/.f64 a #s(literal -2/3 binary64)) (*.f64 c (/.f64 #s(literal 1/3 binary64) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) a) (/.f64 c (*.f64 #s(literal 3 binary64) b)))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 a b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)
(*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) a) #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) a)
(/.f64 (*.f64 (/.f64 c b) (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) b)
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b)))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 b b)) (/.f64 c (/.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 c (/.f64 c (*.f64 b b))) b) a)))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c (/.f64 (+.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a #s(literal -9/8 binary64)) c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) #s(literal 3 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c (*.f64 a a))) #s(literal -9/8 binary64))) c) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9/4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
(/.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 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b #s(literal -1/2 binary64)) c)) #s(literal -1 binary64)))
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) a)) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) c) #s(literal -1 binary64)) (pow.f64 (/.f64 a (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

5 calls:

46.0ms
b
41.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
36.0ms
a
34.0ms
(*.f64 #s(literal 3 binary64) a)
28.0ms
c
Results
AccuracySegmentsBranch
58.4%7a
86.4%3b
52.2%3c
77.7%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))
58.4%7(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes74.0ms (0.5%)

Counts
69 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3/2 binary64))) b)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2/3 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a b))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (/.f64 a b))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c))) a)
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 (/.f64 (/.f64 c b) a) #s(literal 1/3 binary64)))
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 b (/.f64 #s(literal 1/3 binary64) a)) c)) a)
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(*.f64 (/.f64 a #s(literal -2/3 binary64)) (*.f64 c (/.f64 #s(literal 1/3 binary64) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) a) (/.f64 c (*.f64 #s(literal 3 binary64) b)))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 a b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)
(*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) a) #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) a)
(/.f64 (*.f64 (/.f64 c b) (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) b)
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b)))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 b b)) (/.f64 c (/.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 c (/.f64 c (*.f64 b b))) b) a)))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c (/.f64 (+.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a #s(literal -9/8 binary64)) c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) #s(literal 3 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c (*.f64 a a))) #s(literal -9/8 binary64))) c) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9/4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
Outputs
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

67.0ms
b
Results
AccuracySegmentsBranch
83.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.3%)

Counts
68 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3/2 binary64))) b)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2/3 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a b))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (/.f64 a b))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c))) a)
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 (/.f64 (/.f64 c b) a) #s(literal 1/3 binary64)))
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 b (/.f64 #s(literal 1/3 binary64) a)) c)) a)
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(*.f64 (/.f64 a #s(literal -2/3 binary64)) (*.f64 c (/.f64 #s(literal 1/3 binary64) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) a) (/.f64 c (*.f64 #s(literal 3 binary64) b)))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 a b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)
(*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) a) #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) a)
(/.f64 (*.f64 (/.f64 c b) (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) b)
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b)))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 b b)) (/.f64 c (/.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 c (/.f64 c (*.f64 b b))) b) a)))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c (/.f64 (+.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a #s(literal -9/8 binary64)) c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) #s(literal 3 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c (*.f64 a a))) #s(literal -9/8 binary64))) c) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9/4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
Outputs
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

42.0ms
b
Results
AccuracySegmentsBranch
83.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.2%)

Counts
66 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3/2 binary64))) b)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2/3 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a b))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (/.f64 a b))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c))) a)
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 (/.f64 (/.f64 c b) a) #s(literal 1/3 binary64)))
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 b (/.f64 #s(literal 1/3 binary64) a)) c)) a)
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(*.f64 (/.f64 a #s(literal -2/3 binary64)) (*.f64 c (/.f64 #s(literal 1/3 binary64) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) a) (/.f64 c (*.f64 #s(literal 3 binary64) b)))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 a b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)
(*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) a) #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) a)
(/.f64 (*.f64 (/.f64 c b) (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) b)
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b)))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 b b)) (/.f64 c (/.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 c (/.f64 c (*.f64 b b))) b) a)))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c (/.f64 (+.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a #s(literal -9/8 binary64)) c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) #s(literal 3 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c (*.f64 a a))) #s(literal -9/8 binary64))) c) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9/4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
Outputs
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

27.0ms
b
Results
AccuracySegmentsBranch
83.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts
65 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3/2 binary64))) b)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2/3 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a b))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (/.f64 a b))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b)) a)
(/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 a c))) a)
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 (/.f64 (/.f64 c b) a) #s(literal 1/3 binary64)))
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b (/.f64 a #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 b (/.f64 #s(literal 1/3 binary64) a)) c)) a)
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(*.f64 (/.f64 a #s(literal -2/3 binary64)) (*.f64 c (/.f64 #s(literal 1/3 binary64) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) a) (/.f64 c (*.f64 #s(literal 3 binary64) b)))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a #s(literal 1/3 binary64))) (/.f64 a b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) b)
(*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) a) #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 c (*.f64 a (/.f64 #s(literal 3/2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) b)
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) a)
(/.f64 (*.f64 (/.f64 c b) (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) b)
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) a)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (neg.f64 (*.f64 a #s(literal -3/2 binary64))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))
(/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 (/.f64 (/.f64 c b) b) b)))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 b b)) (/.f64 c (/.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64)))) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) c) b) (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 c (/.f64 c (*.f64 b b))) b) a)))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c (/.f64 (+.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a #s(literal -9/8 binary64)) c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)) #s(literal 3 binary64)) (/.f64 c a))
(/.f64 (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -3/2 binary64)) b) (/.f64 (*.f64 c (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c (*.f64 a a))) #s(literal -9/8 binary64))) c) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9/4 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (/.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 3 binary64) a))
Outputs
(*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

23.0ms
b
Results
AccuracySegmentsBranch
71.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
(/.f64 (/.f64 b a) #s(literal -3/2 binary64))
(*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 3/2 binary64))) b)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2/3 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b #s(literal -1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 b b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 a b))))
(*.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 a b) a)))
Outputs
(/.f64 (/.f64 b #s(literal -3/2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

30.0ms
b
Results
AccuracySegmentsBranch
71.5%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
Outputs
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
71.5%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
Outputs
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
71.4%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
71.3%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
71.3%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
c
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
31.1%1a
31.1%1c
31.1%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch49.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.1112890191083948e-154
1.5364843208197807e-154
19.0ms
-1.508123174129989e+19
-8015348501206067.0
Results
19.0ms43×0invalid
15.0ms184×0valid
1.0ms5×1valid
1.0ms3×2valid
Compiler

Compiled 406 to 301 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 20.0ms (71% of total)
ival-div: 2.0ms (7.1% of total)
ival-sqrt: 2.0ms (7.1% of total)
ival-sub: 1.0ms (3.6% of total)
ival-neg: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch62.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.1112890191083948e-154
1.5364843208197807e-154
41.0ms
-1.2034358826588999e-55
-2.9919832728519038e-68
Results
42.0ms212×0valid
4.0ms55×0invalid
2.0ms12×1valid
Compiler

Compiled 444 to 351 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 8.0ms (38.3% of total)
ival-mult: 6.0ms (28.7% of total)
ival-add: 2.0ms (9.6% of total)
ival-sqrt: 2.0ms (9.6% of total)
ival-sub: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.1112890191083948e-154
1.5364843208197807e-154
23.0ms
-1.2034358826588999e-55
-2.9919832728519038e-68
Results
21.0ms208×0valid
5.0ms59×0invalid
2.0ms14×1valid
1.0ms2×2valid
Compiler

Compiled 416 to 323 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (33.5% of total)
ival-neg: 3.0ms (16.7% of total)
ival-div: 2.0ms (11.2% of total)
ival-sqrt: 2.0ms (11.2% of total)
ival-sub: 1.0ms (5.6% of total)
const: 1.0ms (5.6% of total)
ival-add: 1.0ms (5.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch57.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.1112890191083948e-154
1.5364843208197807e-154
31.0ms
-1.2034358826588999e-55
-2.9919832728519038e-68
Results
35.0ms209×0valid
5.0ms65×0invalid
2.0ms14×1valid
0.0ms1×2valid
Compiler

Compiled 416 to 323 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 11.0ms (43.9% of total)
ival-mult: 6.0ms (23.9% of total)
ival-div: 2.0ms (8% of total)
ival-neg: 2.0ms (8% of total)
ival-sqrt: 2.0ms (8% of total)
ival-sub: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch63.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
59.0ms
-1.208395970855322e-306
3.879303775866811e-285
Results
26.0ms176×0valid
9.0ms114×0invalid
Compiler

Compiled 268 to 215 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 11.0ms (53.7% of total)
ival-div: 2.0ms (9.8% of total)
ival-sqrt: 2.0ms (9.8% of total)
ival-sub: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
const: 1.0ms (4.9% of total)
ival-neg: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
-1.208395970855322e-306
3.879303775866811e-285
Results
15.0ms176×0valid
10.0ms102×0invalid
Compiler

Compiled 224 to 171 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (39% of total)
ival-sub: 2.0ms (13% of total)
ival-div: 2.0ms (13% of total)
ival-sqrt: 2.0ms (13% of total)
ival-add: 1.0ms (6.5% of total)
ival-neg: 1.0ms (6.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
48.0ms
-1.208395970855322e-306
3.879303775866811e-285
Results
28.0ms176×0valid
9.0ms114×0invalid
Compiler

Compiled 224 to 171 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 15.0ms (53.9% of total)
ival-mult: 6.0ms (21.5% of total)
ival-sqrt: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
ival-neg: 1.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
-1.208395970855322e-306
3.879303775866811e-285
Results
16.0ms96×0invalid
15.0ms176×0valid
Compiler

Compiled 224 to 171 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (42.4% of total)
ival-div: 2.0ms (14.1% of total)
ival-sqrt: 2.0ms (14.1% of total)
ival-sub: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
ival-neg: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
52.0ms
-1.208395970855322e-306
3.879303775866811e-285
Results
16.0ms176×0valid
8.0ms99×0invalid
Compiler

Compiled 224 to 171 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (38.6% of total)
ival-div: 3.0ms (19.3% of total)
ival-sqrt: 2.0ms (12.9% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-neg: 1.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
-1.208395970855322e-306
3.879303775866811e-285
Results
17.0ms176×0valid
9.0ms106×0invalid
Compiler

Compiled 224 to 171 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (44.4% of total)
ival-div: 2.0ms (12.7% of total)
ival-sqrt: 2.0ms (12.7% of total)
ival-sub: 1.0ms (6.3% of total)
ival-add: 1.0ms (6.3% of total)
ival-neg: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078235
1103235
2109235
3111235
4112235
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -15000000000000000000 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6299089654510001/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3797980526983971/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
Outputs
(if (<=.f64 b #s(literal -15000000000000000000 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6299089654510001/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -6299089654510001/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3797980526983971/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (if (<=.f64 b #s(literal 2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 b #s(literal -3/2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(if (<=.f64 b #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))

soundness3.7s (23.8%)

Rules
7748×*-lowering-*.f32
7748×*-lowering-*.f64
7046×*-lowering-*.f32
7046×*-lowering-*.f64
6018×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034163
1190160
21677157
08696157
07497385
126457314
083047314
044226
1270169
22522165
08891165
01216
13015
26915
316815
429215
552115
6103415
7221715
8522615
9777815
0819415
042191
1218185
22003185
08425185
06397057
121697015
278917015
080517015
05706482
119496398
273326398
080586398
01990
111786
2108986
0876386
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 641 to 387 computations (39.6% saved)

preprocess141.0ms (0.9%)

Compiler

Compiled 516 to 180 computations (65.1% saved)

end0.0ms (0%)

Profiling

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