Cubic critical

Time bar (total: 15.8s)

analyze190.0ms (1.2%)

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

Compiled 21 to 13 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 41.0ms (44.6% of total)
ival-neg: 19.0ms (20.7% of total)
ival-sqrt: 10.0ms (10.9% of total)
ival-div: 7.0ms (7.6% of total)
ival-sub: 6.0ms (6.5% of total)
ival-add: 6.0ms (6.5% of total)
const: 2.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

sample2.7s (16.9%)

Results
811.0ms830×1valid
650.0ms1912×2valid
621.0ms5514×0valid
169.0ms956×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
backward-pass: 667.0ms (37.6% of total)
ival-mult: 449.0ms (25.3% of total)
ival-div: 177.0ms (10% of total)
ival-sqrt: 141.0ms (7.9% of total)
ival-sub: 140.0ms (7.9% of total)
ival-neg: 94.0ms (5.3% of total)
ival-add: 93.0ms (5.2% of total)
const: 15.0ms (0.8% of total)
Bogosity

preprocess208.0ms (1.3%)

Algorithm
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
iter limit
node limit
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))

explain209.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-2(8.322223429382826e-124 1.591285193339241e-251 -1.7113347701631e-190)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
570-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
140-1(9.465228646450057e-263 1.3850507727207745e+207 6.236198550485142e+149)(/.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))
60-0-(-.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
70.0ms358×0valid
38.0ms100×2valid
12.0ms54×1valid
Compiler

Compiled 160 to 38 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 18.0ms (30% of total)
ival-mult: 18.0ms (30% of total)
ival-sqrt: 6.0ms (10% of total)
backward-pass: 5.0ms (8.3% of total)
ival-neg: 4.0ms (6.7% of total)
ival-sub: 4.0ms (6.7% of total)
ival-add: 4.0ms (6.7% of total)
const: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
53.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify158.0ms (1%)

Algorithm
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
iter limit
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)

localize171.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy98.1%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
accuracy94.5%
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
accuracy80.5%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
accuracy61.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
accuracy98.1%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy94.5%
(/.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))
accuracy80.5%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy61.3%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Results
85.0ms50×2valid
48.0ms179×0valid
10.0ms27×1valid
Compiler

Compiled 136 to 20 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-sqrt: 21.0ms (38.5% of total)
ival-mult: 13.0ms (23.9% of total)
ival-div: 5.0ms (9.2% of total)
ival-sub: 4.0ms (7.3% of total)
backward-pass: 4.0ms (7.3% of total)
ival-add: 4.0ms (7.3% of total)
ival-neg: 2.0ms (3.7% of total)
const: 1.0ms (1.8% of total)

series46.0ms (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
19.0ms
a
@-inf
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
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))

rewrite538.0ms (3.4%)

Algorithm
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
iter limit
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)))

simplify431.0ms (2.7%)

Algorithm
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
iter limit
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))

eval177.0ms (1.1%)

Compiler

Compiled 43306 to 2552 computations (94.1% saved)

prune184.0ms (1.2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1020221042
Fresh000
Picked202
Done000
Total1022221044
Accuracy
91.7%
Counts
1044 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.2%
(/.f64 (/.f64 (-.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 #s(literal 3 binary64) a))
53.2%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
53.2%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
23.1%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
53.2%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
9.5%
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
7.7%
(/.f64 (-.f64 (+.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) (*.f64 #s(literal 3 binary64) a))
52.5%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64)))
35.1%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
27.0%
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
48.5%
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) b) (*.f64 #s(literal 3 binary64) a))
20.6%
(/.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)
32.4%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
35.6%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
35.6%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
19.5%
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
53.2%
(/.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)))
53.2%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
53.2%
(*.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))))
35.4%
(*.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))
31.2%
(*.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)))))
23.3%
(*.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)))
Compiler

Compiled 912 to 598 computations (34.4% saved)

simplify212.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.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-diff128
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
cost-diff0
(*.f64 c (*.f64 a #s(literal -3 binary64)))
cost-diff0
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))
cost-diff0
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)
cost-diff0
(+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))
cost-diff256
(-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b)
cost-diff512
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(*.f64 b #s(literal -2/3 binary64))
cost-diff0
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
cost-diff0
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
cost-diff128
(*.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))))
Rules
1786×*-lowering-*.f32
1786×*-lowering-*.f64
1282×fma-lowering-fma.f32
1282×fma-define
1282×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035258
185251
2187245
3419242
41043240
53295238
08147238
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3)))
(- b (sqrt (+ (* b b) (* a (* c -3)))))
b
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
(* b b)
(* a (* c -3))
a
(* c -3)
c
-3
(/ 1 (* a -3))
1
(* a -3)
(/ (* b -2/3) a)
(* b -2/3)
b
-2/3
a
(/ (- (+ b (/ (* c (* a -3/2)) b)) b) (* 3 a))
(- (+ b (/ (* c (* a -3/2)) b)) b)
(+ b (/ (* c (* a -3/2)) b))
b
(/ (* c (* a -3/2)) b)
(* c (* a -3/2))
c
(* a -3/2)
a
-3/2
(* 3 a)
3
(/ (- (sqrt (* c (* a -3))) b) (* 3 a))
(- (sqrt (* c (* a -3))) b)
(sqrt (* c (* a -3)))
(* c (* a -3))
c
(* a -3)
a
-3
b
(* 3 a)
3
(/ (/ 1/3 a) (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))
(/ 1/3 a)
1/3
a
(/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
1
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
(* b b)
b
(* a (* c -3))
(* c -3)
c
-3
Outputs
(* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3)))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(- b (sqrt (+ (* b b) (* a (* c -3)))))
(-.f64 b (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)
(* 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)
(/ 1 (* a -3))
(/.f64 #s(literal -1/3 binary64) a)
1
#s(literal 1 binary64)
(* a -3)
(*.f64 a #s(literal -3 binary64))
(/ (* b -2/3) a)
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(* b -2/3)
(*.f64 b #s(literal -2/3 binary64))
b
-2/3
#s(literal -2/3 binary64)
a
(/ (- (+ b (/ (* c (* a -3/2)) b)) b) (* 3 a))
(/.f64 (*.f64 c #s(literal -3/2 binary64)) (*.f64 b #s(literal 3 binary64)))
(- (+ b (/ (* c (* a -3/2)) b)) b)
(*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
(+ b (/ (* c (* a -3/2)) b))
(-.f64 b (*.f64 (/.f64 (*.f64 a c) b) #s(literal 3/2 binary64)))
b
(/ (* c (* a -3/2)) b)
(*.f64 c (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
(* c (* a -3/2))
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
c
(* a -3/2)
(*.f64 a #s(literal -3/2 binary64))
a
-3/2
#s(literal -3/2 binary64)
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (- (sqrt (* c (* a -3))) b) (* 3 a))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 a #s(literal -3 binary64)))
(- (sqrt (* c (* a -3))) b)
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)
(sqrt (* c (* a -3)))
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))
(* c (* a -3))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
c
(* a -3)
(*.f64 a #s(literal -3 binary64))
a
-3
#s(literal -3 binary64)
b
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (/ 1/3 a) (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(/ 1/3 a)
(/.f64 #s(literal 1/3 binary64) a)
1/3
#s(literal 1/3 binary64)
a
(/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b))
1
#s(literal 1 binary64)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(+ (* b b) (* a (* c -3)))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))
(* b b)
(*.f64 b b)
b
(* a (* c -3))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(* c -3)
(*.f64 c #s(literal -3 binary64))
c
-3
#s(literal -3 binary64)

localize295.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 #s(literal 1/3 binary64) a)
accuracy96.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
accuracy91.9%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
accuracy80.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
accuracy100.0%
(*.f64 #s(literal 3 binary64) a)
accuracy99.9%
(*.f64 c (*.f64 a #s(literal -3 binary64)))
accuracy99.7%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
accuracy81.9%
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))
accuracy99.9%
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
accuracy94.0%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)
accuracy87.1%
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
accuracy84.1%
(-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b)
accuracy99.9%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
accuracy99.7%
(*.f64 b #s(literal -2/3 binary64))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
accuracy96.4%
(*.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))))
accuracy91.9%
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))
accuracy80.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
Results
63.0ms37×2valid
51.0ms89×0invalid
47.0ms36×1valid
39.0ms93×0valid
1.0ms3valid
Compiler

Compiled 271 to 36 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 23.0ms (28.5% of total)
ival-div: 17.0ms (21.1% of total)
ival-sub: 13.0ms (16.1% of total)
...c/correct-round.rkt:119:19: 10.0ms (12.4% of total)
backward-pass: 7.0ms (8.7% of total)
ival-sqrt: 5.0ms (6.2% of total)
ival-add: 3.0ms (3.7% of total)
const: 1.0ms (1.2% of total)

series79.0ms (0.5%)

Counts
20 → 576
Calls
Call 1
Inputs
#<alt (* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3)))>
#<alt (/ 1 (* a -3))>
#<alt (- b (sqrt (+ (* b b) (* a (* c -3)))))>
#<alt (sqrt (+ (* b b) (* a (* c -3))))>
#<alt (/ (* b -2/3) a)>
#<alt (* b -2/3)>
#<alt (/ (- (+ b (/ (* c (* a -3/2)) b)) b) (* 3 a))>
#<alt (- (+ b (/ (* c (* a -3/2)) b)) b)>
#<alt (+ b (/ (* c (* a -3/2)) b))>
#<alt (/ (* c (* a -3/2)) b)>
#<alt (/ (- (sqrt (* c (* a -3))) b) (* 3 a))>
#<alt (- (sqrt (* c (* a -3))) b)>
#<alt (sqrt (* c (* a -3)))>
#<alt (* c (* a -3))>
#<alt (/ (/ 1/3 a) (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))>
#<alt (/ 1/3 a)>
#<alt (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))>
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)>
#<alt (* c (* a -3/2))>
#<alt (* 3 a)>
Outputs
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (/ -1/3 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 (* -1 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) 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 (/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))>
#<alt (* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))>
#<alt (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))>
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))>
#<alt (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))>
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
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#<alt (+ (* -1/3 (/ 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 (/ 1 (* a c))) (/ 1 (sqrt -3)))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 2)))))>
#<alt (+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))>
#<alt (+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))>
#<alt (* -2/3 (/ b (* a c)))>
#<alt (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))>
#<alt (* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))>
#<alt (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))>
#<alt (/ -1/2 b)>
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2))))) b))>
#<alt (* -2/3 (/ b (* a c)))>
#<alt (/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a)>
#<alt (/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)>
#<alt (/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a)>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))>
#<alt (/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)>
#<alt (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))>
#<alt (* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a))>
#<alt (* -2/3 (/ b (* a c)))>
#<alt (/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c)>
#<alt (/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)>
#<alt (/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))>
#<alt (/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)>
#<alt (* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))>
#<alt (* -1 (/ (+ (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (/ b (* a (pow (sqrt 3) 2)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c))>
#<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 (* -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)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
Calls

144 calls:

TimeVariablePointExpression
18.0ms
b
@inf
(/ (- (sqrt (* c (* a -3))) b) (* 3 a))
10.0ms
c
@-inf
(* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3)))
2.0ms
c
@0
(/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
2.0ms
c
@0
(* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3)))
1.0ms
a
@-inf
(/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))

rewrite409.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
3266×/-lowering-/.f32
3266×/-lowering-/.f64
2802×*-lowering-*.f32
2802×*-lowering-*.f64
1710×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035170
1206165
21860159
08199159
Stop Event
iter limit
node limit
Counts
20 → 786
Calls
Call 1
Inputs
(* (- b (sqrt (+ (* b b) (* a (* c -3))))) (/ 1 (* a -3)))
(/ 1 (* a -3))
(- b (sqrt (+ (* b b) (* a (* c -3)))))
(sqrt (+ (* b b) (* a (* c -3))))
(/ (* b -2/3) a)
(* b -2/3)
(/ (- (+ b (/ (* c (* a -3/2)) b)) b) (* 3 a))
(- (+ b (/ (* c (* a -3/2)) b)) b)
(+ b (/ (* c (* a -3/2)) b))
(/ (* c (* a -3/2)) b)
(/ (- (sqrt (* c (* a -3))) b) (* 3 a))
(- (sqrt (* c (* a -3))) b)
(sqrt (* c (* a -3)))
(* c (* a -3))
(/ (/ 1/3 a) (/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))
(/ 1/3 a)
(/ 1 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(* c (* a -3/2))
(* 3 a)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))
(+.f64 (*.f64 b (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (/.f64 #s(literal -1/3 binary64) a)))
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(*.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 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 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))))
(*.f64 (pow.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)) (pow.f64 (/.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))))))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.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)))) #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 #s(literal 1 binary64) (-.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 a (*.f64 #s(literal -3/2 binary64) c))
(*.f64 c (*.f64 a #s(literal -3/2 binary64)))
(*.f64 #s(literal -3/2 binary64) (*.f64 a c))
(*.f64 (*.f64 a #s(literal -3/2 binary64)) c)
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
(*.f64 (*.f64 c #s(literal -3/2 binary64)) a)
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a #s(literal -1/3 binary64)))
(neg.f64 (*.f64 a #s(literal -3 binary64)))
(/.f64 a #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))
(/.f64 (*.f64 a #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) a))
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/3 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal 3 binary64) a)
(*.f64 #s(literal -1 binary64) (*.f64 a #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -3 binary64))

simplify361.0ms (2.3%)

Algorithm
egg-herbie
Rules
6330×*-lowering-*.f32
6330×*-lowering-*.f64
4416×+-lowering-+.f64
4416×+-lowering-+.f32
1420×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010088693
135918551
082608551
Stop Event
iter limit
node limit
Counts
576 → 576
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 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(- b (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* 3/2 (/ (* a c) b))
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 3/2 (/ (* a c) b))
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -1/2 (/ c b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
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(/ 1/3 a)
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(* -2/3 (/ b (* a c)))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
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(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
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(* -2/3 (/ b (* a c)))
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(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c)
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (/ b (* a (pow (sqrt 3) 2)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c))
(* (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))))))
(* -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)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -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 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (/.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 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (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 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.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 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.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 c #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #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 a) #s(literal -2/3 binary64))
(* -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 c #s(literal -1/2 binary64)) (*.f64 b b)) (+.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (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 c #s(literal -1/2 binary64)) (*.f64 b b)) (+.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.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 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 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.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 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(+.f64 (/.f64 (*.f64 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 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) b))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 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 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (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 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 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 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) (*.f64 a b)))))) (/.f64 #s(literal -1/2 binary64) b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -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 (*.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)))))) (*.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 a (*.f64 a a))) (*.f64 c (*.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)))))))
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(*.f64 a (+.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (+.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (+.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(*.f64 a (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 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)))
(*.f64 a (+.f64 (*.f64 (*.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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/8 binary64)) (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 b a))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(*.f64 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) #s(literal -1/8 binary64))) (neg.f64 a)) b) a)) (neg.f64 a))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 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 c (+.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 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)))
(*.f64 c (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(*.f64 c (-.f64 (/.f64 b (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))))) (neg.f64 c)) b) c)) (neg.f64 c))
(* -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)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))

eval231.0ms (1.5%)

Compiler

Compiled 38083 to 3746 computations (90.2% saved)

prune264.0ms (1.7%)

Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New1420321452
Fresh9817
Picked145
Done000
Total1430441474
Accuracy
99.6%
Counts
1474 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.8%
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64)))))
23.0%
(fma.f64 (/.f64 (sqrt.f64 c) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64)))))
53.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
53.2%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
35.0%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
23.1%
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
23.1%
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
25.5%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
23.6%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c))
27.8%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
23.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
53.2%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
23.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
23.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))))
9.5%
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a))
9.5%
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64)))
9.9%
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
23.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 #s(literal 3 binary64) a))
6.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64)))
4.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
4.7%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
3.9%
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
9.4%
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
19.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) b) (*.f64 #s(literal 3 binary64) a))
23.5%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64))))
35.1%
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
27.0%
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
20.6%
(/.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)
32.4%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
35.6%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
35.6%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
53.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
35.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
53.2%
(/.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)))
35.6%
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
35.5%
(*.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)))
35.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
35.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
9.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b)))
35.6%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
53.2%
(*.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))))
34.9%
(*.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))
35.4%
(*.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))
35.6%
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
Compiler

Compiled 1591 to 1070 computations (32.7% saved)

simplify195.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
cost-diff0
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
cost-diff0
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
cost-diff0
(+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64))
cost-diff128
(*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
cost-diff384
(-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b)
cost-diff384
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
cost-diff0
(/.f64 #s(literal 1/3 binary64) a)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))
cost-diff512
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 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
2938×*-lowering-*.f32
2938×*-lowering-*.f64
1840×fnmadd-define
1728×sum5-define
1304×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039290
196288
2252286
3900275
44635275
08292275
Stop Event
iter limit
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
(/ (/ 1/3 a) (/ 1 (/ (* (* c a) -3/2) b)))
(/ 1/3 a)
1/3
a
(/ 1 (/ (* (* c a) -3/2) b))
1
(/ (* (* c a) -3/2) b)
(* (* c a) -3/2)
(* c a)
c
-3/2
b
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))
(- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b)
(* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b))
(+ (* 3/2 (* a (/ c (* b b)))) -1)
(* 3/2 (* a (/ c (* b b))))
3/2
(* a (/ c (* b b)))
a
(/ c (* b b))
c
(* b b)
b
-1
(- 0 b)
0
(* 3 a)
3
(/ (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) a)
(* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
1/3
(- (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
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 b (*.f64 a #s(literal -3/2 binary64)))
(/ -2/3 a)
(/.f64 #s(literal -2/3 binary64) a)
-2/3
#s(literal -2/3 binary64)
a
b
(/ (/ 1/3 a) (/ 1 (/ (* (* c a) -3/2) b)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b c))
(/ 1/3 a)
(/.f64 #s(literal 1/3 binary64) a)
1/3
#s(literal 1/3 binary64)
a
(/ 1 (/ (* (* c a) -3/2) b))
(/.f64 b (*.f64 a (*.f64 c #s(literal -3/2 binary64))))
1
#s(literal 1 binary64)
(/ (* (* c a) -3/2) b)
(*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))
(* (* c a) -3/2)
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
(* c a)
(*.f64 a c)
c
-3/2
#s(literal -3/2 binary64)
b
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))
(/.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 b #s(literal -3/2 binary64)))) b) b) (*.f64 a #s(literal 3 binary64)))
(- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b)
(/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 b #s(literal -3/2 binary64)))) b) b)
(* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal -3/2 binary64))))
(+ (* 3/2 (* a (/ c (* b b)))) -1)
(+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal 3/2 binary64))) (*.f64 b b)) #s(literal -1 binary64))
(* 3/2 (* a (/ c (* b b))))
(/.f64 (*.f64 a (*.f64 c #s(literal 3/2 binary64))) (*.f64 b b))
3/2
#s(literal 3/2 binary64)
(* a (/ c (* b b)))
(/.f64 (*.f64 a c) (*.f64 b b))
a
(/ c (* b b))
(/.f64 c (*.f64 b b))
c
(* b b)
(*.f64 b b)
b
-1
#s(literal -1 binary64)
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
0
#s(literal 0 binary64)
(* 3 a)
(*.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (* 1/3 (- (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) (/.f64 #s(literal 1/3 binary64) a))
(* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64))))) b) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 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)

localize738.0ms (4.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy98.1%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
accuracy94.6%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
accuracy80.5%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
accuracy61.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
accuracy89.6%
(*.f64 a (/.f64 c (*.f64 b b)))
accuracy86.9%
(/.f64 c (*.f64 b b))
accuracy83.0%
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
accuracy60.6%
(-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b)
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) a)
accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b))
accuracy90.2%
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
accuracy83.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
accuracy99.7%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
accuracy99.4%
(/.f64 #s(literal -2/3 binary64) a)
accuracy98.1%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
accuracy94.6%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
accuracy80.5%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
accuracy61.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
Results
492.0ms94×0valid
88.0ms77×2valid
83.0ms85×1valid
Compiler

Compiled 316 to 40 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 545.0ms
ival-mult: 467.0ms (85.7% of total)
ival-div: 32.0ms (5.9% of total)
backward-pass: 15.0ms (2.8% of total)
...c/correct-round.rkt:119:19: 12.0ms (2.2% of total)
ival-sub: 7.0ms (1.3% of total)
ival-add: 5.0ms (0.9% of total)
ival-sqrt: 4.0ms (0.7% of total)
const: 2.0ms (0.4% of total)

series60.0ms (0.4%)

Counts
19 → 612
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 (/ (/ 1/3 a) (/ 1 (/ (* (* c a) -3/2) b)))>
#<alt (/ 1 (/ (* (* c a) -3/2) b))>
#<alt (/ 1/3 a)>
#<alt (/ (* (* c a) -3/2) b)>
#<alt (/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))>
#<alt (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b)>
#<alt (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b))>
#<alt (+ (* 3/2 (* a (/ c (* b b)))) -1)>
#<alt (/ (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) a)>
#<alt (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))>
#<alt (+ (* b b) (* a (* c -3)))>
#<alt (/ c (* b b))>
#<alt (* a (/ c (* b 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)))))>
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#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* a (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* a (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* a (+ (* -3/2 (/ c b)) (/ b a)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* c (+ (* -3/2 (/ a b)) (/ b c)))>
#<alt (* c (+ (* -3/2 (/ a b)) (/ b c)))>
#<alt (* c (+ (* -3/2 (/ a b)) (/ b c)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 3/2 (/ a b)))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (pow b 2)) b)>
#<alt (/ (+ (* -3/2 (* a c)) (pow b 2)) b)>
#<alt (/ (+ (* -3/2 (* a c)) (pow b 2)) b)>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt b>
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 1)))>
#<alt -1>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (* 3/2 (/ (* a c) (pow b 2)))>
#<alt (* a (- (* 3/2 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (- (* 3/2 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* a (- (* 3/2 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* 3/2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* a (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* a (+ (* -3/2 (/ c (pow b 2))) (/ 1 a))))>
#<alt -1>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (* 3/2 (/ (* a c) (pow b 2)))>
#<alt (* c (- (* 3/2 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (- (* 3/2 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* c (- (* 3/2 (/ a (pow b 2))) (/ 1 c)))>
#<alt (* 3/2 (/ (* a c) (pow b 2)))>
#<alt (* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* -1 (* c (+ (* -3/2 (/ a (pow b 2))) (/ 1 c))))>
#<alt (* 3/2 (/ (* a c) (pow b 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))>
#<alt (/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))>
#<alt (/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))>
#<alt -1>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt -1>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<alt (- (* 3/2 (/ (* a c) (pow b 2))) 1)>
#<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 (* -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 (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
#<alt (/ (* a c) (pow b 2))>
Calls

153 calls:

TimeVariablePointExpression
12.0ms
a
@0
(/ 1 (/ (* (* c a) -3/2) b))
2.0ms
a
@0
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))
2.0ms
a
@inf
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))
2.0ms
c
@0
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))
2.0ms
b
@0
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))

rewrite536.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
3628×*-lowering-*.f32
3628×*-lowering-*.f64
3470×/-lowering-/.f32
3470×/-lowering-/.f64
1742×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039189
1219187
21699185
08404185
Stop Event
iter limit
node limit
Counts
19 → 1130
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)
(/ (/ 1/3 a) (/ 1 (/ (* (* c a) -3/2) b)))
(/ 1 (/ (* (* c a) -3/2) b))
(/ 1/3 a)
(/ (* (* c a) -3/2) b)
(/ (- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b) (* 3 a))
(- (* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b)) b)
(* (+ (* 3/2 (* a (/ c (* b b)))) -1) (- 0 b))
(+ (* 3/2 (* a (/ c (* b b)))) -1)
(/ (* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)) a)
(* 1/3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(+ (* b b) (* a (* c -3)))
(/ c (* b b))
(* a (/ c (* b b)))
Outputs
(exp.f64 (*.f64 (log.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 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 a #s(literal 1/3 binary64))) (/.f64 b (/.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) a) (/.f64 b (/.f64 a #s(literal 1/3 binary64))))
(neg.f64 (/.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 (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 (-.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) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a))
(/.f64 #s(literal 1 binary64) (/.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) (neg.f64 (neg.f64 (/.f64 a (/.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) (neg.f64 (/.f64 a (/.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) (neg.f64 (*.f64 (/.f64 #s(literal 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 (/.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 (/.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) #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 a (*.f64 c #s(literal -3 binary64))))) b)) (*.f64 a #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #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 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) a) (/.f64 #s(literal 3 binary64) (-.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 a #s(literal 1/3 binary64)) (+.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) a) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 1 binary64)) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1 binary64)) (*.f64 a #s(literal -3 binary64)))
(/.f64 (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 (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 (+.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 binary64) a)) (neg.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))))
(/.f64 (*.f64 (/.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)) a)
(/.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 1 binary64) a)) #s(literal -3 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (/.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (/.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (/.f64 (/.f64 a #s(literal 1/3 binary64)) b)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 a #s(literal -3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) b))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (*.f64 a #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) a) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (/.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (*.f64 (/.f64 a #s(literal 1/3 binary64)) (/.f64 b a))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (/.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 (/.f64 a #s(literal 1/3 binary64)) b)))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (*.f64 a #s(literal -3 binary64))) (*.f64 a (-.f64 #s(literal 0 binary64) b))) (*.f64 a (*.f64 a #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 a (/.f64 b a))) (/.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) 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 1 binary64))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1 binary64))) (neg.f64 (*.f64 a #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (/.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 0 binary64) a))
(/.f64 (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 1 binary64) a))) #s(literal 3 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))
(pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (-.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 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)) #s(literal -1 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 #s(literal 1/3 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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (/.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.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 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 a (-.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)) #s(literal -1/3 binary64))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (neg.f64 (/.f64 b #s(literal 3 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1/3 binary64) (neg.f64 (*.f64 #s(literal 1/3 binary64) b))) (fma.f64 #s(literal -1/3 binary64) b (*.f64 #s(literal 1/3 binary64) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.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))))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1/3 binary64) (neg.f64 (/.f64 b #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.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) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) #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 #s(literal 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 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (+.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))))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) b)) #s(literal 9 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) #s(literal 3 binary64))
(/.f64 (neg.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)))) (neg.f64 (*.f64 #s(literal 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 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))) (*.f64 b b))) (neg.f64 (*.f64 #s(literal 3 binary64) (+.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)) #s(literal 27 binary64)) (/.f64 (*.f64 b (*.f64 b b)) #s(literal 27 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 b #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))))
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(/.f64 (/.f64 (*.f64 a c) b) b)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 b b) c)))
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 a (/.f64 c b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) a)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (/.f64 c b) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (neg.f64 (/.f64 (*.f64 a c) b)) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal -1 binary64))
(*.f64 a (/.f64 c (*.f64 b b)))
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) a))
(*.f64 c (/.f64 a (*.f64 b b)))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 c (*.f64 b b)) a)
(*.f64 (/.f64 c b) (/.f64 a b))
(*.f64 (/.f64 a b) (/.f64 c b))

simplify497.0ms (3.1%)

Algorithm
egg-herbie
Rules
7780×*-lowering-*.f32
7780×*-lowering-*.f64
4100×+-lowering-+.f64
4100×+-lowering-+.f32
1834×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07238471
125478381
084388381
Stop Event
iter limit
node limit
Counts
612 → 612
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))
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(* -3/2 (/ (* a c) b))
b
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(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3/2 (/ c b)))))
b
(+ b (* -3/2 (/ (* a c) b)))
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(* -3/2 (/ (* a c) b))
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(/ (+ (* -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
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-1
(- (* 3/2 (/ (* a c) (pow b 2))) 1)
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(- (* 3/2 (/ (* a c) (pow b 2))) 1)
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-1
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(/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))
(/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))
(/ (+ (* -1 (pow b 2)) (* 3/2 (* a c))) (pow b 2))
-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
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(- (* 3/2 (/ (* a c) (pow b 2))) 1)
(- (* 3/2 (/ (* a c) (pow b 2))) 1)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
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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))) (* -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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(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* 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)))
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(* -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)))))))
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(* 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)))))
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(* -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)))))))
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(* 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)))))))
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
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(* -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)
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(+ (* -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))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
(/ (* a c) (pow b 2))
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.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 a (*.f64 c (*.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 a (*.f64 c c))) (*.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 a (*.f64 c c))) (*.f64 b b)) (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 a (*.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 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 a (*.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 a (*.f64 c c))) (*.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 a) #s(literal -2/3 binary64))
(* -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 a (*.f64 c c))) (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 (*.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 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))) (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 a (*.f64 c c))) (*.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 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(+.f64 (/.f64 (*.f64 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 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.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 (*.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 #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 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c)))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #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 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 c (+.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 (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 #s(literal -1/3 binary64) (/.f64 (/.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))))))
(*.f64 c (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.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 a (*.f64 a a))) (*.f64 c (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) (*.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 a (*.f64 a a))) (*.f64 c (*.f64 c c))))))) (+.f64 (*.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))) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 b a) c)))))
(* -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))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 c #s(literal 1/3 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (/.f64 b a) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 -1/3 binary64) b) a) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a)))))) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 -1/3 binary64) b) a) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (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) b))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+.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 a))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64))) #s(literal -1/3 binary64))))
(+ (* 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)))
(+.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 a (*.f64 a a))) (*.f64 c (*.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 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)))))) #s(literal -1/3 binary64))))
(* -1/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b)
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 b b))) 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)
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(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))
(/ (* a c) (pow b 2))
(*.f64 a (/.f64 c (*.f64 b b)))

eval762.0ms (4.8%)

Compiler

Compiled 72032 to 5531 computations (92.3% saved)

prune410.0ms (2.6%)

Pruning

58 alts after pruning (52 fresh and 6 done)

PrunedKeptTotal
New1955261981
Fresh92635
Picked235
Done134
Total1967582025
Accuracy
99.6%
Counts
2025 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.8%
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64)))))
23.0%
(fma.f64 (/.f64 (sqrt.f64 c) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64)))))
53.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
27.1%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a)
35.0%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
35.6%
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
23.2%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
22.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
53.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a)
23.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64)))
27.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64))))
25.5%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
23.6%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c))
27.8%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
24.8%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c))
53.2%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
7.9%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))))
27.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))))
22.9%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
22.9%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
23.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
7.0%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
9.9%
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
23.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 #s(literal 3 binary64) a))
8.7%
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
4.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
4.7%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
3.9%
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
9.4%
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
19.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) b) (*.f64 #s(literal 3 binary64) a))
23.5%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64))))
20.6%
(/.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)
32.4%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
35.6%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
35.6%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
23.1%
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
9.5%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a)
34.9%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a)
53.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
35.0%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a)
35.6%
(/.f64 b (/.f64 a #s(literal -2/3 binary64)))
35.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
35.6%
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
35.5%
(*.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)))
35.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
23.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
35.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
23.2%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
35.6%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
53.2%
(*.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))))
34.9%
(*.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))
35.4%
(*.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))
25.9%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
25.9%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b))
35.6%
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
18.6%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2/3 binary64))) #s(literal -1 binary64))) b)
30.5%
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b)))
23.0%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
Compiler

Compiled 2125 to 1415 computations (33.4% saved)

simplify269.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a)
cost-diff256
(*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))
cost-diff384
(-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64))))
cost-diff1280
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
cost-diff128
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))
cost-diff128
(*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))
cost-diff256
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))
cost-diff512
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
cost-diff0
(/.f64 #s(literal -2/3 binary64) (*.f64 a c))
cost-diff0
(*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)
cost-diff0
(/.f64 #s(literal 1/3 binary64) a)
cost-diff256
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
cost-diff0
(/.f64 b a)
cost-diff0
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
cost-diff0
(/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a)
Rules
5614×*-lowering-*.f32
5614×*-lowering-*.f64
3510×/-lowering-/.f32
3510×/-lowering-/.f64
1570×associate-/r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045412
1130409
2495380
32935357
08444357
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) a)
(/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))
1
(/ 3 (- (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
(* (/ b a) -2/3)
(/ b a)
b
a
-2/3
(/ (/ 1/3 a) (* (/ -2/3 (* a c)) b))
(/ 1/3 a)
1/3
a
(* (/ -2/3 (* a c)) b)
(/ -2/3 (* a c))
-2/3
(* a c)
c
b
(/ (/ 1/3 a) (/ 1 (* -3/2 (* (* a c) (/ 1 b)))))
(/ 1/3 a)
1/3
a
(/ 1 (* -3/2 (* (* a c) (/ 1 b))))
1
(* -3/2 (* (* a c) (/ 1 b)))
-3/2
(* (* a c) (/ 1 b))
(* a c)
c
(/ 1 b)
b
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))
(- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3)))
(* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a)
(- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2)))))
(* b b)
b
(/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))
(/ (* c (* a -3/2)) b)
(* c (* a -3/2))
c
(* a -3/2)
a
-3/2
(/ b (* c (* a -3/2)))
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))
(* (/ a 1/3) (- b (/ (* c (* a -3/2)) b)))
(/ a 1/3)
1/3
(- b (/ (* c (* a -3/2)) b))
(/ b 3)
3
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)
Outputs
(/ (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) a)
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (/.f64 #s(literal 1/3 binary64) a))
(/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
3
#s(literal 3 binary64)
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
(sqrt (+ (* b b) (* a (* c -3))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(+ (* b b) (* a (* c -3)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(* b b)
(*.f64 b b)
b
(* a (* c -3))
(*.f64 #s(literal -3 binary64) (*.f64 a c))
a
(* c -3)
(*.f64 c #s(literal -3 binary64))
c
-3
#s(literal -3 binary64)
(* (/ b a) -2/3)
(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
(/ b a)
(/.f64 b a)
b
a
-2/3
#s(literal -2/3 binary64)
(/ (/ 1/3 a) (* (/ -2/3 (* a c)) b))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 c b)))
(/ 1/3 a)
(/.f64 #s(literal 1/3 binary64) a)
1/3
#s(literal 1/3 binary64)
a
(* (/ -2/3 (* a c)) b)
(/.f64 b (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))
(/ -2/3 (* a c))
(/.f64 #s(literal -2/3 binary64) (*.f64 a c))
-2/3
#s(literal -2/3 binary64)
(* a c)
(*.f64 a c)
c
b
(/ (/ 1/3 a) (/ 1 (* -3/2 (* (* a c) (/ 1 b)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 c b)))
(/ 1/3 a)
(/.f64 #s(literal 1/3 binary64) a)
1/3
#s(literal 1/3 binary64)
a
(/ 1 (* -3/2 (* (* a c) (/ 1 b))))
(/.f64 b (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))
1
#s(literal 1 binary64)
(* -3/2 (* (* a c) (/ 1 b)))
(/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
-3/2
#s(literal -3/2 binary64)
(* (* a c) (/ 1 b))
(/.f64 (*.f64 a c) b)
(* a c)
(*.f64 a c)
c
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
b
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b)))) (/.f64 (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))) #s(literal 1/3 binary64))) (/.f64 b #s(literal -3 binary64))) a)
(- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3)))
(*.f64 a (-.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b)))) (/.f64 (*.f64 b (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64)))))) #s(literal 1 binary64))))
(* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a)
(*.f64 a (-.f64 (*.f64 b b) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b)))))
(- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2)))))
(-.f64 (*.f64 b b) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b))))
(* b b)
(*.f64 b b)
b
(/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))
(*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a c) b)))
(/ (* c (* a -3/2)) b)
(/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
(* c (* a -3/2))
(*.f64 (*.f64 a 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 (* c (* a -3/2)))
(/.f64 b (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))
(*.f64 (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))) (*.f64 b a))
(* (/ a 1/3) (- b (/ (* c (* a -3/2)) b)))
(*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))))
(/ a 1/3)
(/.f64 a #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(- b (/ (* c (* a -3/2)) b))
(-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64)))))
(/ b 3)
(/.f64 b #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a)
(*.f64 (-.f64 b (/.f64 c (/.f64 b (*.f64 a #s(literal -3/2 binary64))))) (/.f64 (*.f64 a a) #s(literal 1/3 binary64)))

localize689.0ms (4.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy92.9%
(/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)
accuracy92.9%
(/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64))))
accuracy65.3%
(-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64))))
accuracy62.1%
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))))
accuracy99.6%
(/.f64 #s(literal 1/3 binary64) a)
accuracy92.9%
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b))
accuracy89.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
accuracy99.6%
(/.f64 #s(literal 1/3 binary64) a)
accuracy99.5%
(/.f64 #s(literal -2/3 binary64) (*.f64 a c))
accuracy93.1%
(*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b)
accuracy89.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
accuracy100.0%
(/.f64 b a)
accuracy99.7%
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
accuracy98.7%
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))
accuracy97.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a)
accuracy86.6%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)
accuracy73.5%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64)))))
Results
315.0ms86×5exit
83.0ms57×2valid
51.0ms22×3valid
50.0ms66×0valid
43.0ms25×1valid
Compiler

Compiled 442 to 46 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 312.0ms
ival-div: 137.0ms (43.8% of total)
ival-mult: 74.0ms (23.7% of total)
backward-pass: 45.0ms (14.4% of total)
...c/correct-round.rkt:119:19: 31.0ms (9.9% of total)
ival-sub: 14.0ms (4.5% of total)
ival-sqrt: 6.0ms (1.9% of total)
ival-add: 4.0ms (1.3% of total)
const: 2.0ms (0.6% of total)

series92.0ms (0.6%)

Counts
22 → 732
Calls
Call 1
Inputs
#<alt (/ (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) a)>
#<alt (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))>
#<alt (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))>
#<alt (- (sqrt (+ (* b b) (* a (* c -3)))) b)>
#<alt (* (/ b a) -2/3)>
#<alt (/ b a)>
#<alt (/ (/ 1/3 a) (* (/ -2/3 (* a c)) b))>
#<alt (/ 1/3 a)>
#<alt (* (/ -2/3 (* a c)) b)>
#<alt (/ -2/3 (* a c))>
#<alt (/ (/ 1/3 a) (/ 1 (* -3/2 (* (* a c) (/ 1 b)))))>
#<alt (/ 1 (* -3/2 (* (* a c) (/ 1 b))))>
#<alt (* -3/2 (* (* a c) (/ 1 b)))>
#<alt (* (* a c) (/ 1 b))>
#<alt (/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))>
#<alt (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3)))>
#<alt (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))>
#<alt (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a)>
#<alt (sqrt (+ (* b b) (* a (* c -3))))>
#<alt (+ (* b b) (* a (* c -3)))>
#<alt (/ b (* c (* a -3/2)))>
#<alt (/ (* c (* a -3/2)) 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 (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))>
#<alt (+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (* c (pow (sqrt -3) 2))))))>
#<alt (+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2))))))))>
#<alt (+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2))))))))>
#<alt (* -2 (/ b (* a c)))>
#<alt (* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c)))))>
#<alt (* b (- (+ (* -1 (/ (+ (* -9/4 (* a c)) (* 9/8 (* a c))) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c)))))>
#<alt (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 3/2 (/ 1 (pow b 2)))) (+ (* -9/4 (/ (* a c) (pow b 4))) (+ (* 9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c)))))))>
#<alt (/ -3/2 b)>
#<alt (* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ 3/2 (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -9/8 (/ (* a c) (pow b 2)))) b))>
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#<alt (/ (+ (* -9/4 (* (pow a 3) (pow c 2))) (* -3/2 (* (pow a 2) (* (pow b 2) c)))) (pow b 2))>
#<alt (/ (+ (* -9/4 (* (pow a 3) (pow c 2))) (* -3/2 (* (pow a 2) (* (pow b 2) c)))) (pow b 2))>
#<alt (* -3/2 (* (pow a 2) c))>
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#<alt b>
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#<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))>
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#<alt (pow b 2)>
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#<alt (pow b 2)>
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#<alt (pow b 2)>
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#<alt (* -2/3 (/ b (* a c)))>
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#<alt (* -2/3 (/ b (* a c)))>
#<alt (* -2/3 (/ b (* a c)))>
#<alt (* -2/3 (/ b (* a c)))>
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#<alt (* -2/3 (/ b (* a c)))>
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#<alt (* -2/3 (/ b (* a c)))>
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#<alt (* -2/3 (/ b (* a c)))>
#<alt (* -2/3 (/ b (* a c)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
Calls

183 calls:

TimeVariablePointExpression
28.0ms
b
@0
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))
16.0ms
a
@-inf
(/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
6.0ms
a
@-inf
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))
3.0ms
a
@0
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))
3.0ms
c
@0
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))

rewrite484.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
3264×*-lowering-*.f32
3264×*-lowering-*.f64
2586×fma-lowering-fma.f32
2586×fma-lowering-fma.f64
2032×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045274
1287250
22572246
08614246
Stop Event
iter limit
node limit
Counts
22 → 909
Calls
Call 1
Inputs
(/ (/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))) a)
(/ 1 (/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b)))
(/ 3 (- (sqrt (+ (* b b) (* a (* c -3)))) b))
(- (sqrt (+ (* b b) (* a (* c -3)))) b)
(* (/ b a) -2/3)
(/ b a)
(/ (/ 1/3 a) (* (/ -2/3 (* a c)) b))
(/ 1/3 a)
(* (/ -2/3 (* a c)) b)
(/ -2/3 (* a c))
(/ (/ 1/3 a) (/ 1 (* -3/2 (* (* a c) (/ 1 b)))))
(/ 1 (* -3/2 (* (* a c) (/ 1 b))))
(* -3/2 (* (* a c) (/ 1 b)))
(* (* a c) (/ 1 b))
(/ (- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) a))
(- (* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a) (* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3)))
(* (* (/ a 1/3) (- b (/ (* c (* a -3/2)) b))) (/ b 3))
(* (- (* b b) (/ (/ (* c (* a -3/2)) b) (/ b (* c (* a -3/2))))) a)
(sqrt (+ (* b b) (* a (* c -3))))
(+ (* b b) (* a (* c -3)))
(/ b (* c (* a -3/2)))
(/ (* c (* a -3/2)) b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 a (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(pow.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))))
(*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) #s(literal 1/3 binary64)) (/.f64 b #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) #s(literal 1/3 binary64) (/.f64 b #s(literal -3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #s(literal -3 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))))))
(pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))
(/.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))))
(/.f64 #s(literal 3 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 #s(literal -3 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b))))
(/.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(/.f64 (/.f64 #s(literal -3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 a c) #s(literal -2/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 b c)) #s(literal 1 binary64)) (pow.f64 (*.f64 a #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2/3 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 a c) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) b)) #s(literal -1 binary64)) #s(literal -3/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(*.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
(*.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) c) #s(literal -1 binary64)) (/.f64 a b))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

simplify492.0ms (3.1%)

Algorithm
egg-herbie
Rules
6734×*-lowering-*.f32
6734×*-lowering-*.f64
4288×+-lowering-+.f64
4288×+-lowering-+.f32
1416×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010839552
138899422
081479422
Stop Event
iter limit
node limit
Counts
732 → 732
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)))))))
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (* c (pow (sqrt -3) 2))))))
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2))))))))
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2))))))))
(* -2 (/ b (* a c)))
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -9/4 (* a c)) (* 9/8 (* a c))) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c)))))
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 3/2 (/ 1 (pow b 2)))) (+ (* -9/4 (/ (* a c) (pow b 4))) (+ (* 9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c)))))))
(/ -3/2 b)
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 3/2 (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -9/8 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 3/2 (* -1 (/ (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -9/8 (/ (* a c) (pow b 2))))) b))
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a)
(/ (+ (* -2 (/ b c)) (* a (+ (* -1 (* a (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a)
(/ (+ (* -2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a)
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(/ (+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) a)
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a)
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a))
(* -2 (/ b (* a c)))
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c)
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c)
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))
(/ (+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* -3 (/ b (* a (pow (sqrt -3) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c)
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c))
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* 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)))))))
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(* (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))))
(* -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)))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
(* -3/2 (/ (* a c) b))
Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -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 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) a))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -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 a (*.f64 c c))) (*.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 a (*.f64 c c))) (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.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 #s(literal -9/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (+.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) a))))) b)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(* -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 c #s(literal -1/2 binary64)) (*.f64 b b)) (+.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (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 c #s(literal -1/2 binary64)) (*.f64 b b)) (+.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.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 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 a (*.f64 c c))) (*.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 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(+.f64 (/.f64 (*.f64 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 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) b))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) b) a) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.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 #s(literal -1/3 binary64) b) a) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) (*.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 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 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 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (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 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #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 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))) (*.f64 a b)))))) (/.f64 #s(literal -1/2 binary64) b)))
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(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)

eval393.0ms (2.5%)

Compiler

Compiled 74665 to 4721 computations (93.7% saved)

prune318.0ms (2%)

Pruning

63 alts after pruning (54 fresh and 9 done)

PrunedKeptTotal
New1872161888
Fresh93847
Picked235
Done066
Total1883631946
Accuracy
99.6%
Counts
1946 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.8%
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64)))))
23.0%
(fma.f64 (/.f64 (sqrt.f64 c) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64)))))
53.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
27.1%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a)
35.0%
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
23.2%
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
27.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a)
25.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a)
25.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a)
22.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
35.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))) a)
35.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
23.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a)
27.1%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a))
24.7%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c))
25.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
25.5%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
27.0%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c))))
53.2%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
22.9%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
22.9%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
23.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
7.0%
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
9.9%
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
23.0%
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 #s(literal 3 binary64) a))
8.7%
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
4.3%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
4.7%
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
3.9%
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a))
9.4%
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
19.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) b) (*.f64 #s(literal 3 binary64) a))
23.5%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64))))
20.6%
(/.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)
32.4%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
35.6%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
35.6%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
23.1%
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
9.5%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a)
34.9%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a)
53.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
35.0%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a)
27.2%
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a)
35.6%
(/.f64 b (/.f64 a #s(literal -2/3 binary64)))
35.6%
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
35.6%
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
35.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64))
35.5%
(*.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)))
35.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
23.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
35.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
27.2%
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
23.2%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
35.6%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
53.2%
(*.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))))
34.9%
(*.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))
35.4%
(*.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))
25.9%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
23.1%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b))
35.6%
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
18.3%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) #s(literal -2/3 binary64))
18.6%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2/3 binary64))) #s(literal -1 binary64))) b)
30.5%
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) b)))
23.0%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
Compiler

Compiled 2795 to 1238 computations (55.7% saved)

regimes200.0ms (1.3%)

Counts
98 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.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 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a)
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) 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)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (+.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) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a)
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #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 b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a)
(*.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)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a)
(/.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 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.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 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 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 #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 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b))) a)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) (/.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 a #s(literal 1/3 binary64)) b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64)))
(*.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)))
(/.f64 (/.f64 (-.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 #s(literal 3 binary64) a))
(/.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)
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a #s(literal -2/3 binary64))) #s(literal -1 binary64))) b)
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) #s(literal -2/3 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -3 binary64))) (sqrt.f64 a)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))))) b) (*.f64 #s(literal 3 binary64) a))
(fma.f64 (/.f64 (sqrt.f64 c) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/3 binary64)))))
Outputs
(*.f64 (/.f64 b a) #s(literal -2/3 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 c #s(literal -1/2 binary64)) b)
Calls

5 calls:

44.0ms
(*.f64 #s(literal 3 binary64) a)
41.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
38.0ms
a
32.0ms
c
32.0ms
b
Results
AccuracySegmentsBranch
58.2%3a
86.1%3b
57.6%3c
75.0%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
58.2%3(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes34.0ms (0.2%)

Counts
80 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.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 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a)
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) 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)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (+.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) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a)
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #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 b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a)
(*.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)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a)
(/.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 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.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 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) a) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 b a) #s(literal -2/3 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 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

24.0ms
b
Results
AccuracySegmentsBranch
86.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes74.0ms (0.5%)

Counts
77 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.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 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a)
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) 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)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (+.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) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a)
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #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 b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a)
(*.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)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a)
(/.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 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.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 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -3 binary64))))) b)) a)
Outputs
(*.f64 (/.f64 b a) #s(literal -2/3 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 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

29.0ms
b
Results
AccuracySegmentsBranch
86.1%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.2%)

Counts
75 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.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 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a)
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) 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)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (+.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) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a)
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #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 b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a)
(*.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)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a)
(/.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 a (*.f64 c #s(literal -3 binary64)))) b) a) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))) a)
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 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:

24.0ms
b
Results
AccuracySegmentsBranch
81.2%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes39.0ms (0.2%)

Counts
72 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.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 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a)
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) 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)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (+.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) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a)
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #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 b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a)
(*.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)))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)) a)
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 a (*.f64 c #s(literal -3 binary64)))) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

30.0ms
b
Results
AccuracySegmentsBranch
81.2%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes59.0ms (0.4%)

Counts
70 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.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 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (+.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (-.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) b)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) b)) a)
(/.f64 (-.f64 (+.f64 b (*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) b) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 (*.f64 c #s(literal -3/2 binary64)) a) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) b)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(*.f64 c (+.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))) (/.f64 #s(literal -1/2 binary64) 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)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2/3 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 b c)) (*.f64 #s(literal 1/2 binary64) (/.f64 a b))) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 c a))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) c)) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) a) b)) a)) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64)) a)) (-.f64 #s(literal 0 binary64) b)) b)) a)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) a) (*.f64 a (/.f64 b #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) a) a) (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal 3 binary64)))) (/.f64 a #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b))))
(/.f64 (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b)) #s(literal 3 binary64)) (/.f64 a #s(literal 1/3 binary64))) (*.f64 a b)) (*.f64 a (/.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (+.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) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (+.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (*.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 c (/.f64 (*.f64 #s(literal 3/8 binary64) a) (*.f64 b (*.f64 b b))))))) c))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) (*.f64 a (+.f64 (*.f64 a (/.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) a)) a)
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c))))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 a c) #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 b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))) a))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (/.f64 b (*.f64 c (*.f64 a #s(literal -3/2 binary64)))))) a) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) (/.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 a #s(literal 1/3 binary64)) (-.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b))) a))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) (/.f64 a (/.f64 (*.f64 b b) c)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (/.f64 (*.f64 b b) c)) #s(literal -3/2 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) #s(literal 3 binary64)) a)
(*.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)))
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 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

54.0ms
b
Results
AccuracySegmentsBranch
65.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
35 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.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 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal -2/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) b)) a)
(/.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 3 binary64)) a)
(*.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b) a)
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal -3/2 binary64)) (/.f64 (*.f64 a c) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a c)) (/.f64 #s(literal -3/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))) a)
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)) a)
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 a c)) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b c) (/.f64 a #s(literal -2/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))) c))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 b (*.f64 a c)) #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 (*.f64 b #s(literal -2/3 binary64)) c) a))
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -3/2 binary64))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 c (/.f64 a #s(literal -2/3 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (*.f64 c (/.f64 a #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (/.f64 #s(literal -3/2 binary64) b)))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 b c))))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)))
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))
Outputs
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

13.0ms
b
Results
AccuracySegmentsBranch
65.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

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

3 calls:

2.0ms
c
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
35.6%1c
35.6%1a
35.6%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
b
1.0ms
a
1.0ms
c
Results
AccuracySegmentsBranch
35.6%1b
35.6%1c
35.6%1a
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch77.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
1.7620334009056426e-41
2.3084947304993612e-30
26.0ms
-1.455290616197011e+89
-3.2515627475857268e+87
Results
24.0ms52×2valid
15.0ms184×0valid
6.0ms36×1valid
4.0ms43×0invalid
Compiler

Compiled 536 to 357 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (36% of total)
ival-sqrt: 3.0ms (12% of total)
ival-div: 3.0ms (12% of total)
backward-pass: 2.0ms (8% of total)
ival-sub: 2.0ms (8% of total)
ival-neg: 2.0ms (8% of total)
ival-add: 2.0ms (8% of total)
const: 0.0ms (0% of total)

bsearch117.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
71.0ms
1.7620334009056426e-41
2.3084947304993612e-30
40.0ms
-1.455290616197011e+89
-3.2515627475857268e+87
Results
41.0ms182×0valid
33.0ms46×2valid
18.0ms52×0invalid
8.0ms44×1valid
Compiler

Compiled 519 to 374 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-neg: 37.0ms (61.5% of total)
ival-mult: 9.0ms (15% of total)
ival-sqrt: 3.0ms (5% of total)
ival-div: 3.0ms (5% of total)
backward-pass: 2.0ms (3.3% of total)
ival-sub: 2.0ms (3.3% of total)
ival-add: 2.0ms (3.3% of total)
const: 0.0ms (0% of total)

bsearch106.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
69.0ms
1.7620334009056426e-41
2.3084947304993612e-30
30.0ms
-9.199480099021047e+97
-2.4022769890615185e+91
Results
46.0ms50×2valid
17.0ms212×0valid
16.0ms37×0invalid
8.0ms42×1valid
Compiler

Compiled 577 to 416 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 57.0ms (77.2% of total)
ival-sqrt: 4.0ms (5.4% of total)
ival-div: 3.0ms (4.1% of total)
ival-neg: 3.0ms (4.1% of total)
ival-sub: 2.0ms (2.7% of total)
backward-pass: 2.0ms (2.7% of total)
ival-add: 2.0ms (2.7% of total)
const: 1.0ms (1.4% of total)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
6.934682425224972e-87
1.0253775180779548e-86
24.0ms
-9.994390991537696e-52
-3.628366572364299e-62
Results
17.0ms192×0valid
7.0ms19×1valid
5.0ms62×0invalid
3.0ms13×2valid
Compiler

Compiled 476 to 353 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (32.3% of total)
ival-neg: 6.0ms (27.7% of total)
ival-sqrt: 3.0ms (13.8% of total)
ival-div: 2.0ms (9.2% of total)
ival-sub: 2.0ms (9.2% of total)
ival-add: 2.0ms (9.2% of total)
backward-pass: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
6.934682425224972e-87
1.0253775180779548e-86
32.0ms
-9.994390991537696e-52
-3.628366572364299e-62
Results
26.0ms202×0valid
4.0ms52×0invalid
3.0ms10×2valid
2.0ms12×1valid
Compiler

Compiled 476 to 353 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-neg: 11.0ms (42.7% of total)
ival-mult: 6.0ms (23.3% of total)
ival-div: 2.0ms (7.8% of total)
ival-sqrt: 2.0ms (7.8% of total)
ival-sub: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-5.624456196992303e-292
1.687488448935003e-305
Results
23.0ms176×0valid
6.0ms75×0invalid
Compiler

Compiled 334 to 248 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 9.0ms (42.8% of total)
ival-mult: 5.0ms (23.8% of total)
ival-div: 2.0ms (9.5% of total)
ival-sqrt: 2.0ms (9.5% of total)
ival-add: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-5.624456196992303e-292
1.687488448935003e-305
Results
14.0ms176×0valid
14.0ms87×0invalid
Compiler

Compiled 224 to 171 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 9.0ms (44.2% of total)
ival-mult: 5.0ms (24.5% of total)
ival-sqrt: 2.0ms (9.8% of total)
ival-sub: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
ival-neg: 1.0ms (4.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
56×*-commutative_binary64
42×+-commutative_binary64
36×sub-neg_binary64
30×neg-sub0_binary64
30×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079228
1107227
2133227
3150227
4166227
5187227
6201227
7213227
8218227
9219227
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -15600000000000000780378553341773122277913139592850655120835046053479747695319850072145920 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 2319695398771609/374144419156711147060143317175368453031918731001856 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 -65000000000000001779204751608734401505223497684445633147242777826483150295827540890091520 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 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 -17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 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 -3068490364788879/57896044618658097711785492504343953926634992332820282019728792003956564819968 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 4815451195682279/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 -1492632400324779/904625697166532776746648320380374280103671755200316906558262375061821325312 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 8958978968711217/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
Outputs
(if (<=.f64 b #s(literal -15600000000000000780378553341773122277913139592850655120835046053479747695319850072145920 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 2319695398771609/374144419156711147060143317175368453031918731001856 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 -15600000000000000780378553341773122277913139592850655120835046053479747695319850072145920 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 2319695398771609/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -65000000000000001779204751608734401505223497684445633147242777826483150295827540890091520 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 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 -65000000000000001779204751608734401505223497684445633147242777826483150295827540890091520 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 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 -17000000000000001084790316280474749516647941550246691860270108415635677937497330909741892763648 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (if (<=.f64 b #s(literal 13792459867793/766247770432944429179173513575154591809369561091801088 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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3068490364788879/57896044618658097711785492504343953926634992332820282019728792003956564819968 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 4815451195682279/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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 -3068490364788879/57896044618658097711785492504343953926634992332820282019728792003956564819968 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 4815451195682279/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1492632400324779/904625697166532776746648320380374280103671755200316906558262375061821325312 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 8958978968711217/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1492632400324779/904625697166532776746648320380374280103671755200316906558262375061821325312 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 8958978968711217/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64)))) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))

soundness2.0s (12.7%)

Rules
6330×*-lowering-*.f32
6330×*-lowering-*.f64
6018×*-lowering-*.f32
6018×*-lowering-*.f64
4416×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01216
13015
26915
316815
429215
552115
6103415
7221715
8522615
9777815
0819415
01990
111786
2108986
0876386
05706482
119496398
273326398
080586398
010088693
135918551
082608551
035170
1206165
21860159
08199159
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 519 to 291 computations (43.9% saved)

preprocess69.0ms (0.4%)

Compiler

Compiled 506 to 180 computations (64.4% saved)

end0.0ms (0%)

Profiling

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