Cubic critical

Time bar (total: 15.4s)

analyze219.0ms (1.4%)

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: 131.0ms
ival-mult: 88.0ms (67.3% of total)
ival-sqrt: 10.0ms (7.6% of total)
ival-div: 8.0ms (6.1% of total)
ival-neg: 8.0ms (6.1% of total)
ival-sub: 7.0ms (5.4% of total)
ival-add: 7.0ms (5.4% of total)
const: 2.0ms (1.5% of total)
backward-pass: 1.0ms (0.8% of total)

sample2.4s (15.8%)

Results
900.0ms1884×2valid
699.0ms5554×0valid
206.0ms818×1valid
127.0ms965×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 542.0ms (40.6% of total)
ival-sqrt: 175.0ms (13.1% of total)
ival-neg: 155.0ms (11.6% of total)
ival-sub: 151.0ms (11.3% of total)
ival-add: 123.0ms (9.2% of total)
ival-div: 111.0ms (8.3% of total)
backward-pass: 61.0ms (4.6% of total)
const: 16.0ms (1.2% of total)
Bogosity

preprocess792.0ms (5.1%)

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))

explain284.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
980-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
650-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
150-2(3.3155018319962666e-44 1.7489133448976542e+231 -2.3865814322097022e-42)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
40-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-(*.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
80.0ms48×1valid
78.0ms130×2valid
62.0ms334×0valid
Compiler

Compiled 160 to 38 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 51.0ms (50.6% of total)
backward-pass: 21.0ms (20.8% of total)
ival-sqrt: 7.0ms (6.9% of total)
ival-div: 6.0ms (6% of total)
ival-neg: 5.0ms (5% of total)
ival-add: 5.0ms (5% of total)
ival-sub: 4.0ms (4% of total)
const: 1.0ms (1% 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
▶53.7%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
▶53.7%
(/.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)

simplify170.0ms (1.1%)

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)

localize163.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓accuracy94.7%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
✓accuracy76.9%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓accuracy64.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
✓accuracy98.7%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
✓accuracy94.7%
(/.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))
✓accuracy76.9%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓accuracy64.3%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Results
52.0ms167×0valid
52.0ms65×2valid
9.0ms24×1valid
Compiler

Compiled 136 to 20 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 29.0ms (44.5% of total)
ival-div: 13.0ms (20% of total)
ival-sqrt: 7.0ms (10.7% of total)
backward-pass: 5.0ms (7.7% of total)
ival-sub: 4.0ms (6.1% of total)
ival-add: 4.0ms (6.1% of total)
ival-neg: 3.0ms (4.6% of total)
const: 1.0ms (1.5% of total)

series41.0ms (0.3%)

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
15.0ms
c
@-inf
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
2.0ms
c
@-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
a
@inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms
b
@0
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

rewrite462.0ms (3%)

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)))

simplify355.0ms (2.3%)

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))

eval194.0ms (1.3%)

Compiler

Compiled 43306 to 2552 computations (94.1% saved)

prune205.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1026161042
Fresh000
Picked202
Done000
Total1028161044
Accuracy
93.5%
Counts
1044 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.7%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
53.7%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
28.5%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
52.3%
(/.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)))
▶34.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
10.3%
(/.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))
▶53.7%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
32.8%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
32.3%
(/.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)
34.4%
(/.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))
36.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
▶36.2%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
36.2%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
53.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
53.6%
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
▶35.9%
(*.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))
Compiler

Compiled 574 to 394 computations (31.4% saved)

simplify157.0ms (1%)

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 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)
✓cost-diff0
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b)))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
✓cost-diff256
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b)
✓cost-diff256
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
✓cost-diff0
(/.f64 (/.f64 c b) b)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b))
✓cost-diff0
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a))
✓cost-diff128
(*.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))
✓cost-diff0
(*.f64 b #s(literal -2/3 binary64))
✓cost-diff0
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓cost-diff0
(-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))
✓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 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
Rules
3430×*-lowering-*.f32
3430×*-lowering-*.f64
1066×times-frac
1028×+-lowering-+.f64
1028×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042284
1105280
2267278
3838276
43186275
08015275
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (sqrt (- (* b b) (* 3 (* a c)))) b) (* 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)
a
c
(* 3 a)
(/ (* b -2/3) a)
(* b -2/3)
b
-2/3
a
(* (+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a)) (- 0 b))
(+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a))
(* -1/2 (/ (/ c b) b))
-1/2
(/ (/ c b) b)
(/ c b)
c
b
(/ 2/3 a)
2/3
a
(- 0 b)
0
(/ (- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b) (* 3 a))
(- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b)
(* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b))
(+ 1 (/ (* c (* a -3/2)) (* b b)))
1
(/ (* 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
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) a) 3)
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 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
Outputs
(/ (- (sqrt (- (* b b) (* 3 (* a c)))) b) (* 3 a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(- (sqrt (- (* b b) (* 3 (* a c)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)
(sqrt (- (* b b) (* 3 (* a c))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(- (* b b) (* 3 (* a c)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(* b b)
(*.f64 b b)
b
(* 3 (* a c))
(*.f64 #s(literal 3 binary64) (*.f64 a c))
3
#s(literal 3 binary64)
(* a c)
(*.f64 a c)
a
c
(* 3 a)
(*.f64 #s(literal 3 binary64) a)
(/ (* 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
(* (+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a)) (- 0 b))
(*.f64 b (+.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal 1/2 binary64)) (/.f64 #s(literal -2/3 binary64) a)))
(+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a))
(* -1/2 (/ (/ c b) b))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b))
-1/2
#s(literal -1/2 binary64)
(/ (/ c b) b)
(/.f64 (/.f64 c b) b)
(/ c b)
(/.f64 c b)
c
b
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
2/3
#s(literal 2/3 binary64)
a
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(/ (- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b) (* 3 a))
(/.f64 (/.f64 (*.f64 b (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 a c) b) b) #s(literal 3/2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) a)
(- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b)
(*.f64 b (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 a c) b) b) #s(literal 3/2 binary64)) #s(literal -2 binary64)))
(* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b))
(*.f64 b (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 a c) b) b) #s(literal 3/2 binary64))))
(+ 1 (/ (* c (* a -3/2)) (* b b)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (*.f64 b b)))
1
#s(literal 1 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 #s(literal 3 binary64) a)
3
#s(literal 3 binary64)
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) a) 3)
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) a)
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) 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)))
a
(* c -3)
(*.f64 c #s(literal -3 binary64))
c
-3
#s(literal -3 binary64)
3
#s(literal 3 binary64)

localize312.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓accuracy94.8%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)
✓accuracy76.9%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓accuracy64.3%
(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)))
✓accuracy92.7%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
✓accuracy91.9%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
✓accuracy84.6%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a))
✓accuracy99.8%
(/.f64 (/.f64 c b) b)
✓accuracy99.4%
(/.f64 #s(literal 2/3 binary64) a)
✓accuracy91.8%
(*.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))
✓accuracy99.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓accuracy99.5%
(*.f64 b #s(literal -2/3 binary64))
✓accuracy98.7%
(-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))
✓accuracy94.7%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
✓accuracy76.9%
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b)
✓accuracy64.3%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))
Results
112.0ms167×0valid
82.0ms65×2valid
35.0ms24×1valid
Compiler

Compiled 307 to 43 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 31.0ms (26% of total)
ival-div: 29.0ms (24.3% of total)
ival-sqrt: 20.0ms (16.7% of total)
...c/correct-round.rkt:119:19: 11.0ms (9.2% of total)
backward-pass: 11.0ms (9.2% of total)
ival-sub: 10.0ms (8.4% of total)
ival-add: 6.0ms (5% of total)
const: 1.0ms (0.8% of total)

series90.0ms (0.6%)

Counts
22 → 696
Calls
Call 1
Inputs
#<alt (/ (- (sqrt (- (* b b) (* 3 (* a c)))) b) (* 3 a))>
#<alt (- (sqrt (- (* b b) (* 3 (* a c)))) b)>
#<alt (sqrt (- (* b b) (* 3 (* a c))))>
#<alt (- (* b b) (* 3 (* a c)))>
#<alt (/ (* b -2/3) a)>
#<alt (* b -2/3)>
#<alt (* (+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a)) (- 0 b))>
#<alt (+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a))>
#<alt (* -1/2 (/ (/ c b) b))>
#<alt (/ (/ c b) b)>
#<alt (/ (- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b) (* 3 a))>
#<alt (- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b)>
#<alt (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b))>
#<alt (+ 1 (/ (* c (* a -3/2)) (* b b)))>
#<alt (/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) a) 3)>
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) a)>
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)>
#<alt (sqrt (+ (* b b) (* a (* c -3))))>
#<alt (/ 2/3 a)>
#<alt (/ (* c (* a -3/2)) (* b b))>
#<alt (* c (* a -3/2))>
#<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)))))))>
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#<alt b>
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#<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))>
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#<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 b>
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#<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))))>
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#<alt 1>
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#<alt b>
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#<alt (* -1 b)>
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#<alt b>
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#<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)))) (+ (* 1/16 (* (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>
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#<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 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 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))>
#<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))>
#<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))>
#<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))>
#<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))>
#<alt (* -3/2 (* a c))>
#<alt (* -3/2 (* a c))>
#<alt (* -3/2 (* a c))>
#<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

174 calls:

TimeVariablePointExpression
23.0ms
b
@0
(* (+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a)) (- 0 b))
17.0ms
a
@0
(- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b)
6.0ms
a
@-inf
(/ (- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b) (* 3 a))
2.0ms
a
@0
(/ (* b -2/3) a)
1.0ms
a
@inf
(/ (- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b) (* 3 a))

rewrite425.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
2776×fma-lowering-fma.f32
2776×fma-lowering-fma.f64
2444×*-lowering-*.f32
2444×*-lowering-*.f64
1966×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042218
1258214
22497212
08317212
Stop Event
1×iter limit
1×node limit
Counts
22 → 666
Calls
Call 1
Inputs
(/ (- (sqrt (- (* b b) (* 3 (* a c)))) b) (* 3 a))
(- (sqrt (- (* b b) (* 3 (* a c)))) b)
(sqrt (- (* b b) (* 3 (* a c))))
(- (* b b) (* 3 (* a c)))
(/ (* b -2/3) a)
(* b -2/3)
(* (+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a)) (- 0 b))
(+ (* -1/2 (/ (/ c b) b)) (/ 2/3 a))
(* -1/2 (/ (/ c b) b))
(/ (/ c b) b)
(/ (- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b) (* 3 a))
(- (* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b)) b)
(* (+ 1 (/ (* c (* a -3/2)) (* b b))) (- 0 b))
(+ 1 (/ (* c (* a -3/2)) (* b b)))
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) a) 3)
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) a)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(/ 2/3 a)
(/ (* c (* a -3/2)) (* b b))
(* c (* a -3/2))
(+ (* 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)) (neg.f64 (/.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 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a))) #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)))
(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 b (*.f64 #s(literal 3 binary64) a))))
(neg.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal -3 binary64)))
(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))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)))
(/.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) (/.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #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 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
(/.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 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) 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 #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 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.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))))) b) #s(literal 3 binary64)) a)
(/.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 (*.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 #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 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 #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 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) (neg.f64 (*.f64 a #s(literal -3 binary64))))
(/.f64 (neg.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 0 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 #s(literal 27 binary64) (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)))) (+.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 b (*.f64 #s(literal 3 binary64) a))) (*.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 (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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.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 1/3 binary64)) (-.f64 #s(literal 0 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))) (/.f64 #s(literal 1/3 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 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 1/3 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)))
(*.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 #s(literal 1/3 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) 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 (pow.f64 (/.f64 #s(literal 3 binary64) (-.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 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.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 #s(literal 1 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 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) b))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
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(/.f64 (+.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 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 (*.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal 3 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal 3 binary64) c)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal 3 binary64) c))))) (+.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 a (*.f64 #s(literal 3 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal 3 binary64) c)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal 3 binary64) 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 a (*.f64 #s(literal 3 binary64) c))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal 3 binary64) c))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 a (*.f64 #s(literal 3 binary64) c)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)))
(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 (+.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 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) c))) (-.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 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal 3 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) c))))) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c)))) #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 (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c 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 (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal 3 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) c)))))))
(*.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 a (*.f64 #s(literal 3 binary64) c)))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c 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 (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c 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 #s(literal 3 binary64) c)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) 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 a (*.f64 #s(literal 3 binary64) c)))) #s(literal 1 binary64)))

simplify488.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
8100×*-lowering-*.f32
8100×*-lowering-*.f64
4040×+-lowering-+.f64
4040×+-lowering-+.f32
1514×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078610567
1274210420
0846710420
Stop Event
1×iter limit
1×node limit
Counts
696 → 696
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))))))
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(pow b 2)
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(/ 2/3 a)
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(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
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1
(+ 1 (* -3/2 (/ (* a c) (pow b 2))))
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(+ 1 (* -3/2 (/ (* a c) (pow b 2))))
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(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (/ 1 c))))
1
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(/ (+ (* -3/2 (* a c)) (pow b 2)) (pow b 2))
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1
(+ 1 (* -3/2 (/ (* a c) (pow b 2))))
(+ 1 (* -3/2 (/ (* a c) (pow b 2))))
(+ 1 (* -3/2 (/ (* a c) (pow b 2))))
1
(+ 1 (* -3/2 (/ (* a c) (pow b 2))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ (+ (* -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))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
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(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
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(* 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 (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(* -3/2 (/ c b))
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))
(* -3/2 (/ c b))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b))))
(* (sqrt (/ c a)) (sqrt -3))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* (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 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)
(* -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))
(* -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 (* 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 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 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 #s(literal -1/2 binary64) (/.f64 c 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 (*.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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(* (sqrt (* a c)) (sqrt -3))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(/ 2/3 a)
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(/ 2/3 a)
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(/ 2/3 a)
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(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -3/2 (* a c))
(*.f64 (*.f64 c a) #s(literal -3/2 binary64))
(* -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 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.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 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.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 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 c #s(literal 3 binary64)) (/.f64 (*.f64 b b) 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))

eval206.0ms (1.3%)

Compiler

Compiled 36338 to 3103 computations (91.5% saved)

prune178.0ms (1.2%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1344181362
Fresh3811
Picked325
Done000
Total1350281378
Accuracy
93.5%
Counts
1378 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.8%
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) b) a) #s(literal 3 binary64))
▶10.3%
(/.f64 (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64))
53.7%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
32.8%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
32.2%
(/.f64 (/.f64 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
28.0%
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
28.5%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
▶36.8%
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
35.8%
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
31.8%
(/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a)) a) #s(literal 3 binary64))
0.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a))))
36.0%
(/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a))
✓53.7%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
32.8%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
32.3%
(/.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)
12.2%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2/3 binary64) a))) (*.f64 b b))
9.7%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
36.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓36.2%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
36.2%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
36.0%
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
18.7%
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
▶53.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
36.2%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
53.6%
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
▶29.4%
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
30.5%
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
▶36.1%
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
Compiler

Compiled 985 to 614 computations (37.7% saved)

simplify233.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))))
✓cost-diff512
(-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b)
✓cost-diff512
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a)
✓cost-diff512
(/.f64 (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64))
✓cost-diff0
(/.f64 #s(literal 2/3 binary64) (*.f64 c a))
✓cost-diff0
(+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
✓cost-diff128
(*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))
✓cost-diff384
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
✓cost-diff0
(*.f64 c #s(literal -3/2 binary64))
✓cost-diff0
(/.f64 (*.f64 c #s(literal -3/2 binary64)) b)
✓cost-diff128
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(*.f64 #s(literal -2/3 binary64) (/.f64 b 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 #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))
Rules
2458×*-lowering-*.f32
2458×*-lowering-*.f64
2152×fma-lowering-fma.f32
2152×fma-lowering-fma.f64
2032×fmm-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
039254
1101247
2297247
3979219
43496217
56822216
08598216
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 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
(* -2/3 (/ b a))
-2/3
(/ b a)
b
a
(/ (/ (* c -3/2) b) 3)
(/ (* c -3/2) b)
(* c -3/2)
c
-3/2
b
3
(* (* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))) (- 0 b))
(* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b))))
c
(+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))
(/ 2/3 (* c a))
2/3
(* c a)
a
(/ -1/2 (* b b))
-1/2
(* b b)
b
(- 0 b)
0
(/ (/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a) 3)
(/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a)
(- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b)
(* b (+ 1 (/ (* (* c a) -3/2) (* b b))))
b
(+ 1 (/ (* (* c a) -3/2) (* b b)))
1
(/ (* (* c a) -3/2) (* b b))
(* (* c a) -3/2)
(* c a)
c
a
-3/2
(* b b)
3
Outputs
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
(/ 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 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)))
(* c -3)
(*.f64 c #s(literal -3 binary64))
c
-3
#s(literal -3 binary64)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
-2/3
#s(literal -2/3 binary64)
(/ b a)
(/.f64 b a)
b
a
(/ (/ (* c -3/2) b) 3)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (* c -3/2) b)
(*.f64 #s(literal -3/2 binary64) (/.f64 c b))
(* c -3/2)
(*.f64 c #s(literal -3/2 binary64))
c
-3/2
#s(literal -3/2 binary64)
b
3
#s(literal 3 binary64)
(* (* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))) (- 0 b))
(-.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b))))
(+.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)))
c
(+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))
(+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(/ 2/3 (* c a))
(/.f64 #s(literal 2/3 binary64) (*.f64 a c))
2/3
#s(literal 2/3 binary64)
(* c a)
(*.f64 a c)
a
(/ -1/2 (* b b))
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
-1/2
#s(literal -1/2 binary64)
(* b b)
(*.f64 b b)
b
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(/ (/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a) 3)
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) b))
(/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a)
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (*.f64 a b))
(- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b)
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(* b (+ 1 (/ (* (* c a) -3/2) (* b b))))
(+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b))
b
(+ 1 (/ (* (* c a) -3/2) (* b b)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (*.f64 b b)))
1
#s(literal 1 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)
(*.f64 a c)
c
a
-3/2
#s(literal -3/2 binary64)
(* b b)
(*.f64 b b)
3
#s(literal 3 binary64)

localize401.0ms (2.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy91.9%
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))))
✓accuracy84.6%
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b))
✓accuracy82.0%
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a)
✓accuracy55.4%
(-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b)
✓accuracy98.7%
(+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
✓accuracy98.7%
(/.f64 #s(literal 2/3 binary64) (*.f64 c a))
✓accuracy91.8%
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
✓accuracy78.3%
(*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))
✓accuracy100.0%
(*.f64 c #s(literal -3/2 binary64))
✓accuracy99.7%
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
✓accuracy99.3%
(/.f64 (*.f64 c #s(literal -3/2 binary64)) b)
✓accuracy100.0%
(/.f64 b a)
✓accuracy99.5%
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓accuracy94.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
✓accuracy76.9%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓accuracy64.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
Results
157.0ms90×2valid
75.0ms86×1valid
53.0ms80×0valid
Compiler

Compiled 267 to 40 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 38.0ms (29.4% of total)
ival-div: 33.0ms (25.5% of total)
...c/correct-round.rkt:119:19: 20.0ms (15.5% of total)
backward-pass: 17.0ms (13.2% of total)
ival-sub: 8.0ms (6.2% of total)
ival-add: 8.0ms (6.2% of total)
ival-sqrt: 5.0ms (3.9% of total)
const: 2.0ms (1.5% of total)

series53.0ms (0.3%)

Counts
19 → 576
Calls
Call 1
Inputs
#<alt (* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* c -3)))) b))>
#<alt (/ 1/3 a)>
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)>
#<alt (sqrt (+ (* b b) (* a (* c -3))))>
#<alt (* -2/3 (/ b a))>
#<alt (/ b a)>
#<alt (/ (/ (* c -3/2) b) 3)>
#<alt (/ (* c -3/2) b)>
#<alt (* c -3/2)>
#<alt (* (* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))) (- 0 b))>
#<alt (* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b))))>
#<alt (+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))>
#<alt (/ 2/3 (* c a))>
#<alt (/ (/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a) 3)>
#<alt (/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a)>
#<alt (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b)>
#<alt (* b (+ 1 (/ (* (* c a) -3/2) (* b b))))>
#<alt (+ (* b b) (* a (* c -3)))>
#<alt (/ (* (* c a) -3/2) (* b 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))>
#<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))))>
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#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 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)))>
Calls

144 calls:

TimeVariablePointExpression
23.0ms
b
@0
(* (* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))) (- 0 b))
1.0ms
c
@0
(* (* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))) (- 0 b))
1.0ms
b
@-inf
(/ (/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a) 3)
1.0ms
a
@inf
(/ (/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a) 3)
1.0ms
a
@0
(* (* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))) (- 0 b))

rewrite380.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3102×/-lowering-/.f32
3102×/-lowering-/.f64
2692×*-lowering-*.f32
2692×*-lowering-*.f64
2310×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039184
1231175
22443166
08678166
Stop Event
1×iter limit
1×node limit
Counts
19 → 682
Calls
Call 1
Inputs
(* (/ 1/3 a) (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/ 1/3 a)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(* -2/3 (/ b a))
(/ b a)
(/ (/ (* c -3/2) b) 3)
(/ (* c -3/2) b)
(* c -3/2)
(* (* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))) (- 0 b))
(* c (+ (/ 2/3 (* c a)) (/ -1/2 (* b b))))
(+ (/ 2/3 (* c a)) (/ -1/2 (* b b)))
(/ 2/3 (* c a))
(/ (/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a) 3)
(/ (- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b) a)
(- (* b (+ 1 (/ (* (* c a) -3/2) (* b b)))) b)
(* b (+ 1 (/ (* (* c a) -3/2) (* b b))))
(+ (* b b) (* a (* c -3)))
(/ (* (* c a) -3/2) (* b b))
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 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/3 binary64) 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)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.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 a (*.f64 c #s(literal -3 binary64))))) 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 a (*.f64 c #s(literal -3 binary64))))) b))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.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 a (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))))
(/.f64 (*.f64 #s(literal 1/3 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 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 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))
(/.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))))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))
(/.f64 (*.f64 #s(literal -1/3 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 (-.f64 #s(literal 0 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 #s(literal -1/3 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #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 1/3 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 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)))))))) (-.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 1/3 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 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)))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 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 #s(literal 1/3 binary64) a) (-.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 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 #s(literal 1/3 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (+.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))))) b) #s(literal 1 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))))) 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 a (*.f64 c #s(literal -3 binary64))))) b)) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 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 (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 1/3 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 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 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))))) (neg.f64 (*.f64 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 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)))) (neg.f64 (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) (neg.f64 (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.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))))) (neg.f64 (*.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)))))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 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))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 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 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))))
(/.f64 (neg.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))) (neg.f64 (*.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 (neg.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))) (neg.f64 (*.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 (neg.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))) (neg.f64 (*.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 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.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 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.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))))) (neg.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 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 1 binary64))) (neg.f64 (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) (neg.f64 (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.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))) (/.f64 #s(literal 1/3 binary64) a))) (neg.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 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))
(pow.f64 (/.f64 a (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a))
(*.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 1/3 binary64) a))
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(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)))) b)
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
(+.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))
(exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.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)))
(fabs.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))
(sqrt.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))))))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 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 (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 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 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 binary64)))) (neg.f64 (+.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 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 binary64)))) (neg.f64 (+.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 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 binary64))))) (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))) (*.f64 b b))))
(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 (+.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 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 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 (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal -27 binary64))) (/.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 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 a (*.f64 c #s(literal -3 binary64))))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a 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 (*.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 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(neg.f64 (/.f64 (/.f64 (*.f64 a c) #s(literal 2/3 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))))))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (*.f64 b b))
(/.f64 (/.f64 (*.f64 a c) #s(literal 2/3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) #s(literal 2/3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) (*.f64 b b))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)
(/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) #s(literal 1 binary64)) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 (*.f64 a c) #s(literal 2/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64)) b)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) #s(literal 2/3 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -3/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 a c) #s(literal 2/3 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 a c) b) #s(literal -3/2 binary64))) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) #s(literal -1 binary64))
(*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) (*.f64 b b))))
(*.f64 c (*.f64 a (/.f64 #s(literal -3/2 binary64) (*.f64 b b))))
(*.f64 c (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) (*.f64 b b)))
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) (*.f64 b b)))
(*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b))))
(*.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) (*.f64 b b))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -3/2 binary64) b) (/.f64 (*.f64 a c) b))
(*.f64 (/.f64 (*.f64 a c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 c #s(literal -3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)))
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 b b)) (*.f64 a c))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 c b) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b)) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (pow.f64 (/.f64 b c) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64)))

simplify444.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
6672×*-lowering-*.f32
6672×*-lowering-*.f64
3102×+-lowering-+.f64
3102×+-lowering-+.f32
1900×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06276213
121256153
276296153
085736153
Stop Event
1×iter limit
1×node limit
Counts
576 → 576
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))))))
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b
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b
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b
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(* -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 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ 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) b))
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
(/ (+ (* -3/2 (* a c)) (pow b 2)) b)
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
b
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (/ b c)))
(* c (+ (* -3/2 (/ a b)) (/ b c)))
(* c (+ (* -3/2 (/ a b)) (/ b c)))
(* -3/2 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* -3/2 (/ (* a c) b)))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(* a (+ (* -3/2 (/ c b)) (/ b a)))
(* -3/2 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -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))))
(* -3/2 (/ (* 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)))
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 #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 #s(literal -1/3 binary64) (/.f64 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 #s(literal -1/3 binary64) (/.f64 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) 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 #s(literal -1/3 binary64) (/.f64 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) 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) (*.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 (*.f64 #s(literal 1/6 binary64) (*.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))
(+ (* -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 b #s(literal 1/3 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) a)) a))
(* 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 (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1/2 binary64) c) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) c) (/.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 -1/2 binary64) c) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a 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 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 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 (*.f64 #s(literal -1/2 binary64) c) (*.f64 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) c) (*.f64 b b)) (+.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 #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 (*.f64 #s(literal -1/2 binary64) c) (*.f64 b b)) (+.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 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 a a)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 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 #s(literal -9/16 binary64) (*.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.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 #s(literal -3/8 binary64) (/.f64 a (*.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 b a)))))) (/.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) (/.f64 b a)) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))))
(* 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))))))
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(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) c) b) (/.f64 b a)) (neg.f64 a))
(* -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 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(*.f64 c (+.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (*.f64 b b) c)))
(* -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))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))
(* -3/2 (/ (* a c) (pow b 2)))
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))

eval195.0ms (1.3%)

Compiler

Compiled 27302 to 3302 computations (87.9% saved)

prune197.0ms (1.3%)

Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New1237211258
Fresh51621
Picked325
Done022
Total1245411286
Accuracy
93.5%
Counts
1286 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.8%
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) b) a) #s(literal 3 binary64))
13.1%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
▶5.7%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
14.2%
(/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) a) #s(literal 3 binary64))
▶53.7%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
32.8%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
32.2%
(/.f64 (/.f64 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
28.0%
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
✓36.8%
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
35.8%
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
0.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a))))
✓53.7%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
32.8%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
32.3%
(/.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)
11.0%
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))
36.9%
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
▶36.8%
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
9.7%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
36.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
✓36.2%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
36.2%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
10.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)))
36.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
36.5%
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
36.1%
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
36.0%
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
18.7%
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
32.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
31.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
▶36.2%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
53.6%
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
29.7%
(*.f64 (*.f64 c (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
9.7%
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
36.7%
(*.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/3 binary64)))
▶30.5%
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
36.7%
(*.f64 c (*.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1/3 binary64)))
✓36.1%
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
36.1%
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
16.2%
(*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
36.7%
(*.f64 #s(literal -3/2 binary64) (/.f64 c (*.f64 b #s(literal 3 binary64))))
18.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) #s(literal -1 binary64)))
Compiler

Compiled 1263 to 834 computations (34% saved)

simplify278.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a)
✓cost-diff384
(-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b))
✓cost-diff640
(/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a))
✓cost-diff640
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
✓cost-diff0
(/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) b)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c))
✓cost-diff128
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
✓cost-diff0
(*.f64 c #s(literal -3/2 binary64))
✓cost-diff128
(*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64))
✓cost-diff128
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
✓cost-diff0
(/.f64 #s(literal -2/3 binary64) a)
✓cost-diff0
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓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-diff0
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
Rules
3202×*-lowering-*.f32
3202×*-lowering-*.f64
2182×fma-lowering-fma.f32
2182×fma-lowering-fma.f64
1788×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038243
193235
2233229
3579217
41446214
54877214
08710214
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) 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
(* (/ -2/3 a) b)
(/ -2/3 a)
-2/3
a
b
(/ (* (* c -3/2) 1/3) b)
(* (* c -3/2) 1/3)
(* c -3/2)
c
-3/2
1/3
b
(* c (+ (/ 1/2 b) (/ (/ (* b -2/3) a) c)))
c
(+ (/ 1/2 b) (/ (/ (* b -2/3) a) c))
(/ 1/2 b)
1/2
b
(/ (/ (* b -2/3) a) c)
(/ (* b -2/3) a)
(* b -2/3)
-2/3
a
(/ (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a)) 3)
(/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a))
(- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b))
(* (+ b (* -3/2 (/ (* a c) b))) a)
(+ b (* -3/2 (/ (* a c) b)))
b
(* -3/2 (/ (* a c) b))
-3/2
(/ (* a c) b)
(* a c)
a
c
(* a b)
(* a a)
3
Outputs
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) 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)
(* (/ -2/3 a) b)
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/ -2/3 a)
(/.f64 #s(literal -2/3 binary64) a)
-2/3
#s(literal -2/3 binary64)
a
b
(/ (* (* c -3/2) 1/3) b)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* (* c -3/2) 1/3)
(*.f64 c #s(literal -1/2 binary64))
(* c -3/2)
(*.f64 c #s(literal -3/2 binary64))
c
-3/2
#s(literal -3/2 binary64)
1/3
#s(literal 1/3 binary64)
b
(* c (+ (/ 1/2 b) (/ (/ (* b -2/3) a) c)))
(+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
c
(+ (/ 1/2 b) (/ (/ (* b -2/3) a) c))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) c))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)
b
(/ (/ (* b -2/3) a) c)
(/.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) c)
(/ (* b -2/3) a)
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(* b -2/3)
(*.f64 b #s(literal -2/3 binary64))
-2/3
#s(literal -2/3 binary64)
a
(/ (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a)) 3)
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) (*.f64 a #s(literal 3 binary64)))
(/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) a)
(- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b))
(*.f64 c (/.f64 (*.f64 a (*.f64 a #s(literal -3/2 binary64))) b))
(* (+ b (* -3/2 (/ (* a c) b))) a)
(*.f64 a (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)))
(+ b (* -3/2 (/ (* a c) b)))
(+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b))
b
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
-3/2
#s(literal -3/2 binary64)
(/ (* a c) b)
(/.f64 (*.f64 a c) b)
(* a c)
(*.f64 a c)
a
c
(* a b)
(*.f64 b a)
(* a a)
(*.f64 a a)
3
#s(literal 3 binary64)

localize388.0ms (2.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a)
✓accuracy93.4%
(/.f64 (*.f64 a c) b)
✓accuracy66.5%
(-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b))
✓accuracy48.6%
(/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a))
✓accuracy99.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
✓accuracy99.5%
(*.f64 b #s(literal -2/3 binary64))
✓accuracy89.1%
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
✓accuracy88.9%
(/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)
✓accuracy100.0%
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
✓accuracy100.0%
(*.f64 c #s(literal -3/2 binary64))
✓accuracy99.1%
(*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
✓accuracy99.4%
(/.f64 #s(literal -2/3 binary64) a)
✓accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
✓accuracy94.7%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
✓accuracy76.9%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
✓accuracy64.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
Results
189.0ms105×2valid
61.0ms50×1valid
37.0ms81×0valid
30.0ms20×3valid
Compiler

Compiled 259 to 39 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-mult: 60.0ms (36.4% of total)
ival-div: 38.0ms (23% of total)
...c/correct-round.rkt:119:19: 28.0ms (17% of total)
backward-pass: 19.0ms (11.5% of total)
ival-add: 8.0ms (4.8% of total)
ival-sub: 6.0ms (3.6% of total)
ival-sqrt: 5.0ms (3% of total)
const: 1.0ms (0.6% of total)

series54.0ms (0.3%)

Counts
21 → 600
Calls
Call 1
Inputs
#<alt (/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) 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 (* (/ -2/3 a) b)>
#<alt (/ -2/3 a)>
#<alt (/ (* (* c -3/2) 1/3) b)>
#<alt (* (* c -3/2) 1/3)>
#<alt (* c -3/2)>
#<alt (* c (+ (/ 1/2 b) (/ (/ (* b -2/3) a) c)))>
#<alt (+ (/ 1/2 b) (/ (/ (* b -2/3) a) c))>
#<alt (/ 1/2 b)>
#<alt (/ (/ (* b -2/3) a) c)>
#<alt (/ (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a)) 3)>
#<alt (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a))>
#<alt (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b))>
#<alt (* (+ b (* -3/2 (/ (* a c) b))) a)>
#<alt (+ (* b b) (* a (* c -3)))>
#<alt (* b -2/3)>
#<alt (/ (* b -2/3) a)>
#<alt (/ (* a c) b)>
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)))))))>
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#<alt (* -3/2 (/ (* (pow a 2) c) b))>
#<alt (* -3/2 (/ (* (pow a 2) c) b))>
#<alt (* -3/2 (/ (* (pow a 2) c) b))>
#<alt (* -3/2 (/ (* (pow a 2) c) b))>
#<alt (/ (+ (* -3/2 (* (pow a 2) c)) (* a (pow b 2))) b)>
#<alt (/ (+ (* -3/2 (* (pow a 2) c)) (* a (pow b 2))) b)>
#<alt (/ (+ (* -3/2 (* (pow a 2) c)) (* a (pow b 2))) b)>
#<alt (* a b)>
#<alt (* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))>
#<alt (* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))>
#<alt (* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* 3/2 (/ (* (pow a 2) c) (pow b 2))))))>
#<alt (* -1 (* b (+ (* -1 a) (* 3/2 (/ (* (pow a 2) c) (pow b 2))))))>
#<alt (* -1 (* b (+ (* -1 a) (* 3/2 (/ (* (pow a 2) c) (pow b 2))))))>
#<alt (* a b)>
#<alt (* a (+ b (* -3/2 (/ (* a c) b))))>
#<alt (* a (+ b (* -3/2 (/ (* a c) b))))>
#<alt (* a (+ b (* -3/2 (/ (* a c) b))))>
#<alt (* -3/2 (/ (* (pow a 2) c) b))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* -3/2 (/ (* (pow a 2) c) b))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* a b)>
#<alt (+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b))>
#<alt (+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b))>
#<alt (+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b))>
#<alt (* -3/2 (/ (* (pow a 2) c) b))>
#<alt (* c (+ (* -3/2 (/ (pow a 2) b)) (/ (* a b) c)))>
#<alt (* c (+ (* -3/2 (/ (pow a 2) b)) (/ (* a b) c)))>
#<alt (* c (+ (* -3/2 (/ (pow a 2) b)) (/ (* a b) c)))>
#<alt (* -3/2 (/ (* (pow a 2) c) b))>
#<alt (* -1 (* c (+ (* -1 (/ (* a b) c)) (* 3/2 (/ (pow a 2) b)))))>
#<alt (* -1 (* c (+ (* -1 (/ (* a b) c)) (* 3/2 (/ (pow a 2) b)))))>
#<alt (* -1 (* c (+ (* -1 (/ (* a b) c)) (* 3/2 (/ (pow a 2) b)))))>
#<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 (* -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 (* -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))>
#<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))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
#<alt (/ (* a c) b)>
Calls

150 calls:

TimeVariablePointExpression
20.0ms
b
@-inf
(/ (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a)) 3)
2.0ms
c
@0
(/ (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a)) 3)
2.0ms
c
@inf
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3)
1.0ms
a
@0
(/ (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a)) 3)
1.0ms
a
@-inf
(/ (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a)) 3)

rewrite364.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
3212×/-lowering-/.f32
3212×/-lowering-/.f64
2544×*-lowering-*.f32
2544×*-lowering-*.f64
2316×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038185
1225178
22118176
08508176
Stop Event
1×iter limit
1×node limit
Counts
21 → 752
Calls
Call 1
Inputs
(/ (/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3) a)
(/ (- (sqrt (+ (* b b) (* a (* c -3)))) b) 3)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(* (/ -2/3 a) b)
(/ -2/3 a)
(/ (* (* c -3/2) 1/3) b)
(* (* c -3/2) 1/3)
(* c -3/2)
(* c (+ (/ 1/2 b) (/ (/ (* b -2/3) a) c)))
(+ (/ 1/2 b) (/ (/ (* b -2/3) a) c))
(/ 1/2 b)
(/ (/ (* b -2/3) a) c)
(/ (/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a)) 3)
(/ (- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b)) (* a a))
(- (* (+ b (* -3/2 (/ (* a c) b))) a) (* a b))
(* (+ b (* -3/2 (/ (* a c) b))) a)
(+ (* b b) (* a (* c -3)))
(* b -2/3)
(/ (* b -2/3) a)
(/ (* a c) b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) #s(literal 3 binary64)) a) (/.f64 (/.f64 b #s(literal 3 binary64)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal -3 binary64)) a))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))))) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (/.f64 (/.f64 b #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (neg.f64 (*.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 c (*.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))))))))
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))))))
(neg.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal -3 binary64)) a))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) (neg.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) (*.f64 a #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal -3 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -3 binary64))))) b)) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b))) (neg.f64 (*.f64 a #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b))) (neg.f64 (neg.f64 (*.f64 a #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) #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 c (*.f64 a #s(literal -3 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 b b))) (neg.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b))))
(/.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64)) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1 binary64))) (neg.f64 (*.f64 a #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) (/.f64 #s(literal 1 binary64) a))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)) (/.f64 #s(literal 1 binary64) a))) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) a)) #s(literal -3 binary64))
(pow.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 3 binary64))) #s(literal -1 binary64))
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(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.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 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 c (*.f64 a #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 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 c (*.f64 a #s(literal -3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) (+.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 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))))
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) (+.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) (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))))
(/.f64 (neg.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)))))) (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))))
(/.f64 (neg.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)))))) (neg.f64 (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 c (*.f64 a #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))
(/.f64 (neg.f64 (neg.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))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))
(pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) (+.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 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 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 c (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -3 binary64))))) #s(literal 1 binary64)))
(*.f64 b #s(literal -2/3 binary64))
(*.f64 #s(literal -2/3 binary64) b)
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
(neg.f64 (/.f64 (*.f64 b #s(literal 2/3 binary64)) a))
(/.f64 b (/.f64 a #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (-.f64 #s(literal 0 binary64) b) (neg.f64 (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (*.f64 b #s(literal 2/3 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 a #s(literal -2/3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 a #s(literal -2/3 binary64)))
(/.f64 (*.f64 (*.f64 b #s(literal -2/3 binary64)) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (*.f64 b #s(literal 2/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b #s(literal -2/3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (neg.f64 (*.f64 b #s(literal 2/3 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))))
(pow.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (*.f64 b #s(literal -2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 b #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -2/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 a c))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) b))
(/.f64 (*.f64 a c) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (*.f64 a c)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 a c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b))))
(pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (*.f64 a c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (/.f64 c b))
(*.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (/.f64 a b))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a c))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)))
(*.f64 (/.f64 c b) a)

simplify406.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
7718×*-lowering-*.f32
7718×*-lowering-*.f64
4098×+-lowering-+.f64
4098×+-lowering-+.f32
1888×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07506994
126396924
082936924
Stop Event
1×iter limit
1×node limit
Counts
600 → 600
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 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)
(* -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)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -3/2 c)
(* -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)))))
(* 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)))))
(* -2/3 (/ 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 b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(/ (+ 1/2 (* -2/3 (/ (pow b 2) (* a c)))) b)
(* -2/3 (/ b (* a c)))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))
(* -2/3 (/ b (* a c)))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* -2/3 (/ b (* a c)))
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(/ 1/2 b)
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* a c)))
(* -2/3 (/ b (* 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))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ c b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(* -3/2 (/ (* (pow a 2) c) b))
(/ (+ (* -3/2 (* (pow a 2) c)) (* a (pow b 2))) b)
(/ (+ (* -3/2 (* (pow a 2) c)) (* a (pow b 2))) b)
(/ (+ (* -3/2 (* (pow a 2) c)) (* a (pow b 2))) b)
(* a b)
(* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))
(* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))
(* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))
(* a b)
(* -1 (* b (+ (* -1 a) (* 3/2 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -1 a) (* 3/2 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -1 a) (* 3/2 (/ (* (pow a 2) c) (pow b 2))))))
(* a b)
(* a (+ b (* -3/2 (/ (* a c) b))))
(* a (+ b (* -3/2 (/ (* a c) b))))
(* a (+ b (* -3/2 (/ (* a c) b))))
(* -3/2 (/ (* (pow a 2) c) b))
(* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))
(* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))
(* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))
(* -3/2 (/ (* (pow a 2) c) b))
(* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))
(* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))
(* (pow a 2) (+ (* -3/2 (/ c b)) (/ b a)))
(* a b)
(+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b))
(+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b))
(+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b))
(* -3/2 (/ (* (pow a 2) c) b))
(* c (+ (* -3/2 (/ (pow a 2) b)) (/ (* a b) c)))
(* c (+ (* -3/2 (/ (pow a 2) b)) (/ (* a b) c)))
(* c (+ (* -3/2 (/ (pow a 2) b)) (/ (* a b) c)))
(* -3/2 (/ (* (pow a 2) c) b))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 3/2 (/ (pow a 2) b)))))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 3/2 (/ (pow a 2) b)))))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 3/2 (/ (pow a 2) b)))))
(* -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))))
(* -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)
(* -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))
(/ (* 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)
Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) (*.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 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 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 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) (*.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 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 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)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (+.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) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 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 (*.f64 c #s(literal -1/2 binary64)) (*.f64 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 (*.f64 c #s(literal -1/2 binary64)) (*.f64 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 #s(literal 0 binary64) (*.f64 b (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 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 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))))))
(* -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 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c 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 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a))) b))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal -1/3 binary64) (/.f64 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 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal -1/3 binary64) (/.f64 b a)) (+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (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 (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)))
(+ (* -1/3 (* (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 #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 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)))))) 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 (*.f64 #s(literal -3/8 binary64) (*.f64 c a)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 c (+.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 #s(literal -3/8 binary64) a) (*.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 #s(literal -3/8 binary64) a) (*.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 #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 a b)))))) (/.f64 #s(literal -1/2 binary64) b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
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(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)
(/ (* a c) b)
(/.f64 (*.f64 c a) b)

eval562.0ms (3.7%)

Compiler

Compiled 32342 to 3602 computations (88.9% saved)

prune194.0ms (1.3%)

Pruning

42 alts after pruning (38 fresh and 4 done)

PrunedKeptTotal
New1338141352
Fresh82432
Picked325
Done224
Total1351421393
Accuracy
93.5%
Counts
1393 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.5%
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #s(literal 3 binary64)) a)
10.8%
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) b) a) #s(literal 3 binary64))
13.1%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
14.2%
(/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) a) #s(literal 3 binary64))
32.8%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
32.8%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 3 binary64)) a)
32.2%
(/.f64 (/.f64 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
28.0%
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
35.8%
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
36.2%
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
53.6%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)))
0.7%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a))))
✓53.7%
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
32.8%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
32.3%
(/.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)
11.0%
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))
10.2%
(/.f64 (*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))
36.9%
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
36.8%
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) c) #s(literal -3/2 binary64)) b)
9.7%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
36.9%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
36.2%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
36.1%
(/.f64 b (/.f64 a #s(literal -2/3 binary64)))
10.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)))
36.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
36.5%
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
36.1%
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
36.0%
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
18.7%
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
8.1%
(*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) (*.f64 a a)) #s(literal 1/3 binary64))
32.8%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b))
✓36.2%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
9.7%
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
16.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2/3 binary64))) #s(literal -1 binary64))) b)
23.3%
(*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -2/3 binary64))) (/.f64 b #s(literal 1/2 binary64))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b #s(literal 1/2 binary64)))))
36.8%
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
✓30.5%
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
36.7%
(*.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/3 binary64) b)))
36.7%
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
✓36.1%
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
36.1%
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
18.3%
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 1650 to 739 computations (55.2% saved)

regimes143.0ms (0.9%)

Counts
71 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 b (/.f64 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 #s(literal -3/2 binary64) (/.f64 c (*.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/3 binary64) b)))
(*.f64 c (*.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) c) #s(literal -3/2 binary64)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (*.f64 c (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #s(literal 3 binary64)) a)
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
(/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) a) #s(literal 3 binary64))
(*.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 (+.f64 b (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) b) a) #s(literal 3 binary64))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))
(/.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)
(/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) (*.f64 a a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
(/.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 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 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64))
(*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -2/3 binary64))) (/.f64 b #s(literal 1/2 binary64))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2/3 binary64) a))) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 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 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
(*.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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) 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 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)))
(/.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2/3 binary64))) #s(literal -1 binary64))) b)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3 binary64) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) #s(literal -1 binary64)))
Outputs
(*.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 (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 c #s(literal -1/2 binary64)) b)
Calls

5 calls:

47.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
28.0ms
(*.f64 #s(literal 3 binary64) a)
20.0ms
a
20.0ms
c
19.0ms
b
Results
AccuracySegmentsBranch
57.2%3a
86.4%3b
53.7%1c
79.3%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))
57.2%3(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes23.0ms (0.2%)

Counts
63 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 b (/.f64 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 #s(literal -3/2 binary64) (/.f64 c (*.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/3 binary64) b)))
(*.f64 c (*.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) c) #s(literal -3/2 binary64)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (*.f64 c (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #s(literal 3 binary64)) a)
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
(/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) a) #s(literal 3 binary64))
(*.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 (+.f64 b (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) b) a) #s(literal 3 binary64))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))
(/.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)
(/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) (*.f64 a a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
(/.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 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 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64))
(*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -2/3 binary64))) (/.f64 b #s(literal 1/2 binary64))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2/3 binary64) a))) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 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 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
(*.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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) 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))
Outputs
(*.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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
86.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Counts
59 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 b (/.f64 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 #s(literal -3/2 binary64) (/.f64 c (*.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/3 binary64) b)))
(*.f64 c (*.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) c) #s(literal -3/2 binary64)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (*.f64 c (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #s(literal 3 binary64)) a)
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
(/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) a) #s(literal 3 binary64))
(*.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 (+.f64 b (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) b) a) #s(literal 3 binary64))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))
(/.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)
(/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) (*.f64 a a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
(/.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 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 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64))
(*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -2/3 binary64))) (/.f64 b #s(literal 1/2 binary64))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2/3 binary64) a))) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 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 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
Outputs
(*.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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
86.4%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.2%)

Counts
58 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 b (/.f64 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 #s(literal -3/2 binary64) (/.f64 c (*.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/3 binary64) b)))
(*.f64 c (*.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) c) #s(literal -3/2 binary64)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (*.f64 c (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #s(literal 3 binary64)) a)
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
(/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) a) #s(literal 3 binary64))
(*.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 (+.f64 b (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) b) a) #s(literal 3 binary64))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))
(/.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)
(/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) (*.f64 a a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
(/.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 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 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64))
(*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -2/3 binary64))) (/.f64 b #s(literal 1/2 binary64))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2/3 binary64) a))) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 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 #s(literal -3 binary64) (*.f64 c a))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
Outputs
(/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 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:

15.0ms
b
Results
AccuracySegmentsBranch
84.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.1%)

Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 b (/.f64 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 #s(literal -3/2 binary64) (/.f64 c (*.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/3 binary64) b)))
(*.f64 c (*.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) c) #s(literal -3/2 binary64)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (*.f64 c (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #s(literal 3 binary64)) a)
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
(/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) a) #s(literal 3 binary64))
(*.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 (+.f64 b (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) b) a) #s(literal 3 binary64))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))
(/.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)
(/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) (*.f64 a a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
(/.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 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 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64))
(*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -2/3 binary64))) (/.f64 b #s(literal 1/2 binary64))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2/3 binary64) a))) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 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 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) 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 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
84.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.2%)

Counts
54 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 b (/.f64 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 #s(literal -3/2 binary64) (/.f64 c (*.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/3 binary64) b)))
(*.f64 c (*.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) c) #s(literal -3/2 binary64)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (*.f64 c (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b) #s(literal 3 binary64)) a)
(*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) c)))
(/.f64 (/.f64 (-.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) b) a) #s(literal 3 binary64))
(*.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 (+.f64 b (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) b) a) #s(literal 3 binary64))
(*.f64 (*.f64 c (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 c a)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) b)))
(/.f64 (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))
(/.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)
(/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 3/2 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) (*.f64 a a)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) a)) (*.f64 b b)) (-.f64 #s(literal 0 binary64) b))
(/.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 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 (+.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b b))) b) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64))
(*.f64 c (/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal -2/3 binary64))) (/.f64 b #s(literal 1/2 binary64))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 a (-.f64 (+.f64 b (/.f64 #s(literal -3/2 binary64) (/.f64 b (*.f64 a c)))) b)) a) (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2/3 binary64) a))) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (/.f64 a b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 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 b (*.f64 #s(literal 3 binary64) a))))
Outputs
(+.f64 (/.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)
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
70.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.1%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 b (/.f64 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 #s(literal -3/2 binary64) (/.f64 c (*.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 c (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/3 binary64) b)))
(*.f64 c (*.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal -3/2 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) c) #s(literal -3/2 binary64)) b)
(/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) b)
(/.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) a) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 3 binary64)) (*.f64 c #s(literal -3/2 binary64))))
(*.f64 (*.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (*.f64 c (/.f64 #s(literal 2/3 binary64) (*.f64 c a))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
Outputs
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
70.5%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
70.4%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/.f64 b (/.f64 a #s(literal -2/3 binary64)))
Outputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
70.4%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
70.3%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 #s(literal -2/3 binary64) (/.f64 b a))
Outputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
Calls

3 calls:

1.0ms
b
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
36.1%1c
36.1%1a
36.1%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch56.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
4.6465050898287547e-76
7.022249244527284e-75
17.0ms
-5.879594771170696e+156
-8.453816805038216e+153
Results
20.0ms24×1valid
17.0ms185×0valid
4.0ms15×2valid
2.0ms24×0invalid
Compiler

Compiled 526 to 353 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (43.7% of total)
ival-div: 2.0ms (10.9% of total)
ival-sub: 2.0ms (10.9% of total)
ival-neg: 2.0ms (10.9% of total)
ival-sqrt: 2.0ms (10.9% of total)
ival-add: 2.0ms (10.9% of total)
backward-pass: 1.0ms (5.5% of total)
const: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
31.0ms
4.6465050898287547e-76
7.022249244527284e-75
8.0ms
-5.879594771170696e+156
-8.453816805038216e+153
Results
20.0ms109×0valid
6.0ms32×1valid
5.0ms19×2valid
2.0ms18×0invalid
Compiler

Compiled 356 to 255 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-neg: 11.0ms (44.9% of total)
ival-mult: 5.0ms (20.4% of total)
ival-div: 2.0ms (8.2% of total)
ival-sqrt: 2.0ms (8.2% of total)
ival-sub: 1.0ms (4.1% of total)
backward-pass: 1.0ms (4.1% of total)
ival-add: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
31.0ms
4.6465050898287547e-76
7.022249244527284e-75
10.0ms
-5.879594771170696e+156
-8.453816805038216e+153
Results
13.0ms25×0invalid
12.0ms133×0valid
5.0ms30×1valid
4.0ms13×2valid
Compiler

Compiled 395 to 283 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 17.0ms (65.7% of total)
ival-div: 2.0ms (7.7% of total)
ival-sqrt: 2.0ms (7.7% of total)
ival-sub: 1.0ms (3.9% of total)
backward-pass: 1.0ms (3.9% of total)
ival-neg: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
const: 0.0ms (0% of total)

bsearch56.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
4.6465050898287547e-76
7.022249244527284e-75
30.0ms
-7.17718433417457e-142
-1.451825334082553e-148
Results
27.0ms202×0valid
6.0ms65×0invalid
5.0ms26×1valid
3.0ms12×2valid
Compiler

Compiled 509 to 365 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (40% of total)
ival-div: 3.0ms (15% of total)
ival-sqrt: 3.0ms (15% of total)
ival-sub: 2.0ms (10% of total)
ival-neg: 2.0ms (10% of total)
ival-add: 2.0ms (10% of total)
backward-pass: 1.0ms (5% of total)
const: 0.0ms (0% of total)

bsearch53.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
4.6465050898287547e-76
7.022249244527284e-75
25.0ms
-7.17718433417457e-142
-1.451825334082553e-148
Results
19.0ms197×0valid
7.0ms79×0invalid
5.0ms26×1valid
5.0ms17×2valid
Compiler

Compiled 509 to 365 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 8.0ms (35.1% of total)
ival-div: 3.0ms (13.2% of total)
ival-sqrt: 3.0ms (13.2% of total)
ival-add: 3.0ms (13.2% of total)
ival-sub: 2.0ms (8.8% of total)
ival-neg: 2.0ms (8.8% of total)
backward-pass: 1.0ms (4.4% of total)
const: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-2.22942887226269e-301
3.129506811619962e-308
Results
17.0ms144×0valid
7.0ms85×0invalid
Compiler

Compiled 242 to 179 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-neg: 6.0ms (35.5% of total)
ival-mult: 5.0ms (29.6% of total)
ival-div: 2.0ms (11.8% of total)
ival-sqrt: 2.0ms (11.8% of total)
ival-sub: 1.0ms (5.9% of total)
ival-add: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
3.4356381390474635e-280
9.757762922703503e-273
Results
12.0ms141×0valid
6.0ms74×0invalid
1.0ms3×1valid
Compiler

Compiled 188 to 143 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42% of total)
ival-div: 2.0ms (16.8% of total)
ival-sqrt: 2.0ms (16.8% of total)
ival-add: 1.0ms (8.4% of total)
ival-sub: 1.0ms (8.4% of total)
ival-neg: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
3.4356381390474635e-280
9.757762922703503e-273
Results
13.0ms142×0valid
5.0ms58×0invalid
0.0ms2×1valid
Compiler

Compiled 188 to 143 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (33.1% of total)
ival-sqrt: 3.0ms (24.8% of total)
ival-div: 1.0ms (8.3% of total)
ival-add: 1.0ms (8.3% of total)
ival-sub: 1.0ms (8.3% of total)
ival-neg: 1.0ms (8.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
3.4356381390474635e-280
9.757762922703503e-273
Results
14.0ms143×0valid
6.0ms69×0invalid
0.0ms1×1valid
Compiler

Compiled 188 to 143 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.1% of total)
ival-div: 2.0ms (15.4% of total)
ival-sqrt: 2.0ms (15.4% of total)
ival-add: 1.0ms (7.7% of total)
ival-sub: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch61.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
3.4356381390474635e-280
9.757762922703503e-273
Results
12.0ms138×0valid
7.0ms80×0invalid
1.0ms6×1valid
Compiler

Compiled 188 to 143 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41% of total)
ival-div: 2.0ms (16.4% of total)
ival-sqrt: 2.0ms (16.4% of total)
ival-add: 1.0ms (8.2% of total)
ival-sub: 1.0ms (8.2% of total)
ival-neg: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify20.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
68×*-commutative_binary64
48×+-commutative_binary64
40×sub-neg_binary64
32×neg-sub0_binary64
32×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094295
1130294
2161294
3180294
4197294
5218294
6232294
7244294
8249294
9250294
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.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)) (if (<=.f64 b #s(literal 6518515124270355/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.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)) (if (<=.f64 b #s(literal 733332951480415/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.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)) (if (<=.f64 b #s(literal 3055553964501729/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (*.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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -4805358362091427/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 3055553964501729/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 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 -4805358362091427/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 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 -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 1916006697153331/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
Outputs
(if (<=.f64 b #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.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)) (if (<=.f64 b #s(literal 6518515124270355/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 b (-.f64 (*.f64 (/.f64 (/.f64 c b) b) (-.f64 #s(literal 0 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 6518515124270355/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.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)) (if (<=.f64 b #s(literal 733332951480415/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.f64 b (-.f64 (*.f64 (/.f64 (/.f64 c b) b) (-.f64 #s(literal 0 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 733332951480415/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 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 -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.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)) (if (<=.f64 b #s(literal 3055553964501729/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (*.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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.f64 b (-.f64 (*.f64 (/.f64 (/.f64 c b) b) (-.f64 #s(literal 0 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 3055553964501729/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal -4805358362091427/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 3055553964501729/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 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 -4805358362091427/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 a #s(literal 3 binary64))) (if (<=.f64 b #s(literal 3055553964501729/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal -4805358362091427/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 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 -4805358362091427/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 (-.f64 (*.f64 a (-.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) (/.f64 b a))) b) (*.f64 a #s(literal 3 binary64))) (if (<=.f64 b #s(literal 4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (/.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))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(if (<=.f64 b #s(literal 1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(if (<=.f64 b #s(literal 1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 1916006697153331/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136 binary64)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 1916006697153331/638668899051110339730039268171788341141584403339346413280815117579907805398068501051186548957643424348589582990141598478071180156285949971436534975451146054502401815344347416485612070862196155898449074158254055677865859345638678524444433685903374130402278690200241933325554718473710083176923136 binary64)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(if (<=.f64 b #s(literal 1788272917343109/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))

soundness3.2s (21%)

Rules
8100×*-lowering-*.f32
8100×*-lowering-*.f64
6672×*-lowering-*.f32
6672×*-lowering-*.f64
6018×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038185
1225178
22118176
08508176
042218
1258214
22497212
08317212
01990
111786
2108986
0876386
01216
13015
26915
316815
429215
552115
6103415
7221715
8522615
9777815
0819415
06276213
121256153
276296153
085736153
078610567
1274210420
0846710420
05706482
119496398
273326398
080586398
039184
1231175
22443166
08678166
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 799 to 460 computations (42.4% saved)

preprocess67.0ms (0.4%)

Compiler

Compiled 640 to 210 computations (67.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...